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67-734: The Stratford Warriors are a junior ice hockey team based in Stratford , Ontario , Canada. They play in the Mid-Western division of the Greater Ontario Junior Hockey League . The team was originally named the Warriors but was changed to Cullitons in 1975 in honour of the team sponsor the Culliton brothers. The sponsorship from the Culliton brothers ended in 2016, bringing the name "Warriors" back to

134-463: A bye . The schedule can therefore be computed as though the dummy were an ordinary player, either fixed or rotating. Instead of rotating one position, any number relatively prime to ( n − 1 ) {\displaystyle (n-1)} will generate a complete schedule. The upper and lower rows can indicate home/away in sports, white/black in chess , etc.; to ensure fairness, this must alternate between rounds since competitor 1

201-464: A bye. If the number is even, an added player (ω) becomes the opponent. For an even number n {\displaystyle n} or an odd number n − 1 {\displaystyle n-1} of competitors, Schurig builds a table with n / 2 {\displaystyle n/2} vertical rows and n − 1 {\displaystyle n-1} horizontal rows. Then he populates it starting from

268-411: A competitor to play the strongest opponents in a round robin in quick succession while others play them intermittently with weaker opposition. This asymmetry means that playing the same opponents is not necessarily completely equitable. There is also no scheduled showcase final match unless (by coincidence) two competitors meet in the last match of the tournament, with the result of that match determining

335-477: A competitor's chance of ultimate victory. Final records of participants are more accurate, in the sense that they represent the results over a longer period against the same opposition. The system is also better for ranking all participants, not just determining the winner. This is helpful to determine the final rank of all competitors, from strongest to weakest, for purposes of qualification for another stage or competition as well as for prize money. In team sports,

402-608: A director with the Czech Ice Hockey Association , felt that Junior-aged players were enticed to play in North America before maturation, with a negative effect on the development of the player and the European system. He stated that of the 527 Czech Republic players who went to North American Junior hockey, only 22 of them played more than 400 NHL games. He sought to establish a European system that

469-998: A large number of competitive matches per season, double round-robins are common. Most association football leagues in the world are organized on a double round-robin basis, in which every team plays all others in its league once at home and once away. This system is also used in qualification for major tournaments such as the FIFA World Cup and the continental tournaments (e.g. UEFA European Championship , CONCACAF Gold Cup , AFC Asian Cup , CONMEBOL Copa América and CAF Cup of Nations ). There are also round-robin cricket , bridge , chess , draughts , go , ice hockey , curling , and Scrabble tournaments. The World Chess Championship decided in 2005 and in 2007 on an eight-player double round-robin tournament where each player faces every other player once as white and once as black. There has been several major international cricket tournaments held in this format including ICC events, including

536-489: A lower-placed qualifier is perceived to be easier than for a higher-placed one). Four pairs in the 2012 Olympics Women's doubles badminton , having qualified for the next round, were ejected from the competition for attempting to lose in the round robin stage to avoid compatriots and better ranked opponents. The round robin stage at the Olympics was a new introduction, and these potential problems were readily known prior to

603-720: A professional team, and are used by professional teams to develop their own prospects. One example of this is the J20 SuperElit league in Sweden or the Minor Hockey League in Russia . The lack of an amateur draft in Europe means that the onus is on the teams to sign the most talented young players they can get, and the presence of an affiliated junior team provides a place for young players who are not yet ready for

670-437: A round in which players meets each other. For example, player 7 plays against player 11 in round 4. If a player meets itself, then this shows a bye or a game against player n. All games in a round constitutes a diagonal in the table. The above schedule can also be represented by a graph, as shown below: Both the graph and the schedule were reported by Édouard Lucas in as a recreational mathematics puzzle. Lucas, who describes

737-497: A round, a non-leftmost position (not including 1 {\displaystyle 1} ) can only be taken by competitors of a fixed distance. In round 1 {\displaystyle 1} of the example, in the second position competitor 2 {\displaystyle 2} plays against 13 {\displaystyle 13} , their distance is 2 {\displaystyle 2} . In round 2 {\displaystyle 2} , this position

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804-540: A schedule where player 14 has a fixed position, and all other players are rotated counterclockwise n 2 {\displaystyle {\frac {n}{2}}} positions. This schedule is easily generated manually. To construct the next round, the last player, number 8 in the first round, moves to the head of the table, followed by player 9 against player 7, player 10 against 6, until player 1 against player 2. Arithmetically, this equates to adding n 2 {\displaystyle {\frac {n}{2}}} to

871-653: A significant concentration of teams in the central and southwestern parts of the United States, although the league began to expand to east coast as of 2015. In October 2016, the Tier III United States Premier Hockey League , a league predominately located on the east coast, applied to USA Hockey for approval of a Tier II league to begin in the 2017–18 season, however, the league was denied that December and decided to operate its Tier II league independently. The NAHL, like

938-619: A straight knockout system. The top one, two, or occasionally three teams in these groups then proceed to a straight knockout stage for the remainder of the tournament. In the circle of death it is possible that no champion emerges from a round-robin tournament, even if there is no draw, but most sports have tie-breaker systems which resolve this. Round-robins can suffer from being too long compared to other tournament types, and with later scheduled games potentially not having any substantial meaning. They may also require tie-breaking procedures. Swiss system tournaments attempt to combine elements of

1005-526: A table. In France this is called the Carousel -Berger system (Système Rutch-Berger). The schedule can also be used for "asynchronous" round-robin tournaments where all games take place at different times (for example, because there is only one venue). The games are played from left to right in each round, and from the first round to the last. When the number of competitors is even, this schedule performs well with respect to quality and fairness measures such as

1072-416: A tournament of 16 teams can be completed in just 4 rounds (i.e. 15 matches) in a knockout format; a double elimination tournament format requires 30 (or 31) matches, but a round-robin would require 15 rounds (i.e. 120 matches) to finish if each competitor faces each other once. Other issues stem from the difference between the theoretical fairness of the round robin format and practice in a real event. Since

1139-508: A variety of tiebreaker criteria. Frequently, pool stages within a wider tournament are conducted on a round-robin basis. Examples with single round-robin scheduling include the FIFA World Cup , UEFA European Football Championship , and UEFA Cup (2004–2009) in football, Super Rugby ( rugby union ) in the Southern Hemisphere during its past iterations as Super 12 and Super 14 (but not in its later 15- and 18-team formats),

1206-613: Is a simple algorithm to create a schedule for a round-robin tournament. All competitors are assigned to numbers, and then paired in the first round: Next, one of the competitors in the first or last column of the table is fixed (number one in this example) and the others rotated clockwise one position: This is repeated until when the next iteration would lead back to the initial pairings: With an even number n {\displaystyle n} of competitors this algorithm realizes every possible combination of them (equivalently, that all pairs realized are pairwise different). First,

1273-435: Is always on the first row. If, say, competitors 3 and 8 were unable to fulfil their fixture in the third round, it would need to be rescheduled outside the other rounds, since both competitors would already be facing other opponents in those rounds. More complex scheduling constraints may require more complex algorithms. This schedule is applied in chess and draughts tournaments of rapid games, where players physically move round

1340-817: Is currently the only Tier I league in the country, consisting of teams in the central and midwestern United States. The USHL provides an alternative to the Canadian Hockey League, which pays its major junior hockey players a stipend, for players who wish to maintain NCAA eligibility for later in their career. While playing in the USHL, all player expenses are paid for by the team; no membership or equipment fees are charged. Unlike major junior teams, free-college stipend does not exist. Historically, professional leagues have drafted less directly from USHL teams, although this trend has shifted in recent years, coinciding with

1407-507: Is derived from the French term ruban ('ribbon'). Over time, the term became idiomized to robin . In a single round-robin schedule, each participant plays every other participant once. If each participant plays all others twice, this is frequently called a double round-robin . The term is rarely used when all participants play one another more than twice, and is never used when one participant plays others an unequal number of times, as

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1474-691: Is even, then in each of ( n − 1 ) {\displaystyle (n-1)} rounds, n 2 {\displaystyle {\begin{matrix}{\frac {n}{2}}\end{matrix}}} games can be run concurrently, provided there exist sufficient resources (e.g. courts for a tennis tournament). If n {\displaystyle n} is odd, there will be n {\displaystyle n} rounds, each with n − 1 2 {\displaystyle {\begin{matrix}{\frac {n-1}{2}}\end{matrix}}} games, and one competitor having no game in that round. The circle method

1541-1054: Is held by competitors 14 {\displaystyle 14} and 12 {\displaystyle 12} , also having distance 2 {\displaystyle 2} , etc. Similarly, the next position ( 3 {\displaystyle 3} against 12 {\displaystyle 12} in round 1 {\displaystyle 1} , 2 {\displaystyle 2} against 11 {\displaystyle 11} in round 2 {\displaystyle 2} , etc.) can only hold distance- 4 {\displaystyle 4} competitors. For every k < n 2 {\displaystyle k<{\frac {n}{2}}} , there are exactly n − 1 {\displaystyle n-1} pairs of distance k {\displaystyle k} . There are n − 1 {\displaystyle n-1} rounds and they all realize one distance- k {\displaystyle k} pair at

1608-485: Is the case in almost all of the major North American professional sports leagues. In the United Kingdom , a round-robin tournament has been called an American tournament in sports such as tennis or billiards which usually have single-elimination (or "knockout") tournaments, although this is now rarely done. A round-robin tournament with four players is sometimes called "quad" or "foursome". In sports with

1675-408: Is the fairest way to determine the champion from among a known and fixed number of contestants. Each contestant, whether player or team, has equal chances against all other opponents because there is no prior seeding of contestants that will preclude a match between any given pair. The element of luck is seen to be reduced as compared to a knockout system since one or two bad performances need not ruin

1742-574: The 2025 ICC Champions Trophy . In a more extreme example, the KBO League in baseball plays a 16-fold round robin, with each of the 10 teams playing each other 16 times for a total of 144 games per team. LIDOM (Baseball Winter League in the Dominican Republic) plays an 18-fold round robin as a semi final tournament between four classified teams. Group tournaments rankings usually go by number of matches won and drawn, with any of

1809-616: The Clarence Schmalz Cup which was first awarded in 1938. The Ontario Junior C playoffs are played for between six of the Province's seven different regional leagues. In Quebec and West of Manitoba, Junior C hockey tends to be an extension of the local minor hockey system and is sometimes called Juvenile or House League. In Ontario, Manitoba, and the Maritimes, Junior C is run independently of minor hockey systems, though with

1876-823: The Coupe Dodge in Quebec , the Don Johnson Cup in the Atlantic Provinces , and the Keystone Cup that represents all of Western Canada, from British Columbia to Northwestern Ontario . Junior C (Junior A in Québec ) generally consists of local competitions, but is considered competitive in some regions, and serve as seeding or farm-teams for Junior B teams. Ontario Junior C Hockey has six rounds of best-of-seven playoffs (up to 42 games per team) for

1943-593: The Cricket World Cup along with Indian Premier League , major Twenty-20 Cricket tournament, and many American football college conferences , such as the Conference USA (which currently has 9 members). The group phases of the UEFA club competitions and Copa Libertadores are contested as a double round-robin, as are most basketball leagues outside the United States, including the regular season of

2010-536: The EuroLeague (as well as its former Top 16 phase); the United Football League has used a double round-robin for both its 2009 and 2010 seasons. Season ending tennis tournaments also use a round robin format prior to the semi on stages. The champion in a round-robin tournament is the contestant that wins the most games, except when draws are possible. In theory, a round-robin tournament

2077-694: The Greater Metro Junior A Hockey League has operated as an independent league in Ontario, Quebec, and Alberta. The league widely recruits players from outside of North America. In late 2016, the United States Premier Hockey League , an organization composed of several USA Hockey Tier III Junior as well as many youth hockey leagues, applied for a Tier II league. The Tier II status was denied in December 2016 but

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2144-757: The Memorial Cup in a round-robin tournament to determine a national champion. Major Junior players were historically deemed ineligible to play college hockey in the United States , because they were considered to be professionals by the National Collegiate Athletic Association (NCAA). Major Junior players retain their eligibility for Canadian universities however, and all three leagues have scholarship programs for players. The NCAA changed its position and decided that CHL players were no longer ineligible as of

2211-505: The North American 3 Hockey League Some Junior ice hockey leagues operate outside the framework of governing bodies such as Hockey Canada and USA Hockey , typically due to disagreements with governing bodies over player recruitment policies and finances. These leagues are sometimes referred to as 'unsanctioned', 'rogue' or 'outlaw' leagues due to their lack of sanctioning or oversight from an outside governing body. Since 2006,

2278-619: The US . In 2023, the British Columbia Hockey League (BCHL) withdrew from the Hockey Canada framework, and thus became an independent league. In response, BC Hockey announced plans to restructure its Junior framework, which included an opportunity for some Junior B teams (styled "Junior A Tier 2" by BC Hockey) to be promoted to Junior A (styled "Junior A Tier 1" by BC Hockey) and eventually seek membership with

2345-466: The 2025–26 season. The decision was made after a class action was filed on behalf of a player who was declared ineligible after having played two exhibition games in the OHL when he was 16 years old. The CHL places a cap of three 20-year-old players per team, and allows up to four 16-year-olds on each roster. While 15-year-old players were formerly permitted to play a limited number of games per season at

2412-585: The CHL level, they are now permitted to play only if they are deemed exceptional by Hockey Canada . As of 2024 , nine players have qualified under this rule: centre John Tavares in 2005, defenceman Aaron Ekblad in 2011, centre Connor McDavid in 2012, defenceman Sean Day in 2013, centre Joe Veleno in 2015, centre Shane Wright in 2019, forward Connor Bedard in 2020, forward Michael Misa in 2022, and defenceman Landon DuPont in 2024. CHL teams are currently permitted two "imports" (players from outside Canada and

2479-772: The CJHL. The league expected the evaluations to be completed during the 2024—25 season. Junior B (Junior AA in Québec ; Tier 2 in British Columbia ) was created in 1933, to differentiate between teams eligible for Memorial Cup competition and those who were not. The major championships across Canada are the Sutherland Cup in Southern Ontario , the Barkley Cup in the Ottawa District ,

2546-843: The Canadian Club System: 1. Major Junior, 2. Junior A, 3. Junior B, and 4. Junior C. Not all teams playing in Canadian Junior leagues are based in Canada . As of 2024 , there were approximately twelve US-based teams playing in various Major Junior and Junior A leagues in Canada. In 2023, BC Hockey announced plans to restructure its Junior framework following the departure of its only Junior A league . Its three Junior B leagues ( PJHL , KIJHL and VIJHL ) were re-styled as "Junior A Tier 2", with plans to promote some to "Junior A Tier 1" following an independent evaluation. It

2613-656: The Cullitons apart from any other teams in the league, including the Siskins, is that until 2006 the Cullitons have only suffered one losing season. In fact, in their 32-year history the Cullitons have lost more than 10 games only eight times. On three occasions they registered more ties than losses. They have scored more than 300 goals in a season 11 times, and have only allowed more than 200 goals once. The Cullitons have also been regular-season champions 19 times. Junior hockey There are four levels of Junior hockey in

2680-545: The Hockey Canada framework and become an independent farm league for the British Columbia Hockey League (BCHL) beginning in the 2024-25 season. Major Junior is the highest level of Junior ice hockey in Canada. There are three Major Junior leagues that collectively make up the Canadian Hockey League (CHL) : The championship teams from each league, as well as a pre-selected host team, compete for

2747-605: The Junior A British Columbia Hockey League (BCHL) withdrew its membership with Hockey Canada and became an independent league. In 2024, the Vancouver Island Junior Hockey League (VIJHL) announced that it would also withdraw from the Hockey Canada framework and become an independent farm league for the BCHL beginning in the 2024-25 season. In Europe, Junior teams are usually associated with

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2814-639: The Stratford Canadians era is included, the Stratford Junior "B" club has captured eight Sutherland Cup titles, leading the Mid-Western "B" with six since its founding in 1977. The Cullitons have never failed to make the playoffs since joining the Mid-Western "B", a feat matched only by the Waterloo Siskins . Between 1975-76 and 2004–05, the Cullitons never placed lower than third in the league standings. One thing that sets

2881-576: The Tier III level pay a fee or tuition, commonly ranging from $ 4,000 to $ 9,500. This is for all accounts and purposes an amateur level, although some players go directly to NCAA Division I schools. Most Tier III players are looking to increase their skills in hopes to move up to Tier II or I, while other players go directly to NCAA Division III , ACHA and CHF schools. Prior to July 2011, USA Hockey split Tier III into Junior A and B divisions. USA Hockey currently has one sanctioned Tier III league,

2948-572: The US) each. Up until 1970, the leagues that were classified as Major Junior and "Junior A" today were both part of Junior A. In 1970 they were divided into "Tier I Junior A" or "Major Junior A" and "Tier II Junior A". In 1980, the three Major Junior A leagues opted for self-control over being controlled by the branches of the Canadian Amateur Hockey Association (CAHA) and became Major Junior hockey, Tier II Junior A became

3015-500: The USHL, provides young players an alternative to major junior hockey, although the skill level is considered significantly lower than major junior hockey and typically filled with those who would not or did not make the roster of a Tier I team. Unlike Tier I, the NAHL does not pay for all players' expenses, such as room and board, but there is no tuition cost to the player as in Tier III. In addition to paying for room and board, players at

3082-518: The USNTDP moving to the USHL in 2009-10. In the 2019 NHL Entry Draft , 17 of the 44 players drafted out of the USHL played for the USNTDP. Those 44 draft picks were 16 more than any of the three leagues in the Canadian Hockey League, and included 9 first round picks (8 of which came from the USNTDP) and 7 second round picks. For most of its existence the USHL was considered inferior in quality of play to

3149-773: The USPHL moved forward with the new league anyway, creating the National Collegiate Development Conference. In response, the USPHL has removed all their junior level leagues (the NCDC and the Tier III-level Premier and Elite Divisions) from USA Hockey sanctioning since the 2017–18 season. In 2022, the Eastern Hockey League , which was operating two Tier III leagues, also left USA Hockey sanctioning. In 2023,

3216-426: The Warriors and stayed on board until 1975. In 1975, the team jumped to the precursor to the Mid-Western "B", the "Waterloo-Wellington Junior "B" Hockey League" and changed their name to the Cullitons, finishing first both seasons. They continued their dominance when the league was renamed the Mid-Western, winning eight of the first 13 championships they competed for. They have since won five more league championships. If

3283-446: The algorithm obviously realizes every pair of competitors if one of them equals 1 {\displaystyle 1} (the non-moving competitor). Next, for pairs of non- 1 {\displaystyle 1} competitors, let their distance be the number k < n 2 {\displaystyle k<{\frac {n}{2}}} of times the rotation has to be carried out in order that one competitor arrives at

3350-540: The amount of rest between games. On the other hand, when the number of competitors is odd, it does not perform so well and a different schedule is superior with respect to these measures. Alternatively Berger tables, named after the Austrian chess master Johann Berger , are widely used in the planning of tournaments. Berger published the pairing tables in his two Schach-Jahrbücher (Chess Annals), with due reference to its inventor Richard Schurig. This constitutes

3417-435: The championship. A notable instance of such an event was the 1950 FIFA World Cup match between Uruguay and Brazil . Further issues arise where a round-robin is used as a qualifying round within a larger tournament. A competitor already qualified for the next stage before its last game may either not try hard (in order to conserve resources for the next phase) or even deliberately lose (if the scheduled next-phase opponent for

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3484-615: The city. Between the years of 1951 and 1962, not much is known about junior hockey in the town of Stratford-St. Marys District. Prior to 1952, the Stratford Midgets , who became the Kroehlers and Kist Canadians won a Sutherland Cup in the 1940s and competed as Junior A team for the J. Ross Robertson Cup . Stratford played in the Central "B" from 1962 until 1969. When they joined the reformed Western "B" in 1969, they became

3551-495: The major junior levels. But it continued to improve and as of 2019 about 21 percent of NHL players had played USHL in their career. Between 80 and 90 percent of USHL players continued into NCAA hockey. Currently, the North American Hockey League is the only USA Hockey-sanctioned Tier II league in the United States. The NAHL consists of teams spread across the western two thirds of the United States with

3618-403: The method as simple and ingenious , attributes the solution to Felix Walecki, a teacher at Lycée Condorcet . Lucas also included an alternative solution by means of a sliding puzzle . To easily remember this method, the following mnemonic can be used. Starting from the first round, the next round is constructed: and then, If the number of players is odd, the player in the first venue gets

3685-496: The position the other had. In the example given ( n = 14 {\displaystyle n=14} ), 2 {\displaystyle 2} has distance 1 {\displaystyle 1} to 3 {\displaystyle 3} and to 14 {\displaystyle 14} and it has distance 6 {\displaystyle 6} to 8 {\displaystyle 8} and to 9 {\displaystyle 9} . In

3752-400: The previous row, with the exception of player n {\displaystyle n} . When the result of the addition is greater than ( n − 1 ) {\displaystyle (n-1)} , then subtract ( n − 1 ) {\displaystyle (n-1)} from the sum. This schedule can also be represented as a (n-1, n-1) table, expressing

3819-635: The rigours of the professional game to develop. However, not all players on a European junior team are necessarily property of their professional club, and may elect to sign elsewhere. At the World Hockey Summit in 2010, nations in Europe expressed concern about the number of junior players leaving to play in North America, despite the improved talent level and the increasing popularity of the IIHF Ice Hockey World Junior Championships . Slavomir Lener,

3886-406: The round-robin and elimination formats, to provide a worthy champion using fewer rounds than a round-robin, while allowing draws and losses. The main disadvantage of a round robin tournament is the time needed to complete it. Unlike a knockout tournament where half of the participants are eliminated after each round, a round robin requires one round less than the number of participants. For instance,

3953-525: The round-robin major league champions are generally regarded as the "best" team in the land, rather than the cup winners, whose tournaments usually follow a single-elimination format. Moreover, in tournaments such as the FIFA or ICC World Cups, a first round stage consisting of a number of mini round robins between groups of 4 teams guards against the possibility of a team travelling possibly thousands of miles only to be eliminated after just one poor performance in

4020-656: The same mostly recreational purpose. Junior ice hockey in the United States is sanctioned by USA Hockey . The top level is Tier I, represented by the United States Hockey League . Tier II is represented by the North American Hockey League . There are several Tier III and independently sanctioned leagues throughout the country. Some US-based teams play in Canadian leagues outside of the USA Hockey framework. The United States Hockey League (USHL)

4087-408: The same position. Clearly, these pairs are pairwise different. The conclusion is that every distance- k {\displaystyle k} pair is realized. This holds for every k {\displaystyle k} , hence, every pair is realized. If there are an odd number of competitors, a dummy competitor can be added, whose scheduled opponent in a given round does not play and has

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4154-608: The teams. This famously happened during the 1994 FIFA World Cup Group E , where all four teams finished with a record of one win, one draw, and one loss. This phenomenon is analogous to the Condorcet paradox in voting theory. If n {\displaystyle n} is the number of competitors, a pure round robin tournament requires n 2 ( n − 1 ) {\displaystyle {\begin{matrix}{\frac {n}{2}}\end{matrix}}(n-1)} games. If n {\displaystyle n}

4221-616: The top tier of hockey in the CAHA and became Junior A hockey. Junior A (Junior AAA in Québec ; Tier 1 in British Columbia ) hockey is one level below Major Junior. It is governed by the respective regional branches of Hockey Canada . The Canadian Junior Hockey League (CJHL) is an association of nine Junior A leagues: The national championship is the Centennial Cup . Unlike Major Junior players, Junior A players retain their NCAA eligibility and may go on to play college hockey in

4288-435: The tournament; changes were made prior to the next Olympics to prevent a repeat of these events. Another disadvantage, especially in smaller round-robins, is the "circle of death", where teams cannot be separated on a head-to-head record. In a three-team round-robin, where A defeats B, B defeats C, and C defeats A, all three competitors will have a record of one win and one loss, and a tiebreaker will need to be used to separate

4355-451: The victor is gradually arrived at through multiple rounds of play, teams who perform poorly, who might have been quickly eliminated from title contention, are forced to play out their remaining games. Thus games are played late in the competition between competitors with no remaining chance of success. Moreover, some later matches will pair one competitor who has something left to play for against another who does not. It may also be possible for

4422-501: Was competitive enough to deter players from entering into the CHL Import Draft . Round-robin tournament A round-robin tournament or all-play-all tournament is a competition format in which each contestant meets every other participant, usually in turn. A round-robin contrasts with an elimination tournament , wherein participants are eliminated after a certain number of wins or losses. The term round-robin

4489-538: Was expected that those teams promoted to "Junior A Tier 1" would eventually apply for membership in the Canadian Junior Hockey League (CJHL), an association of Junior A leagues governed by Hockey Canada and its regional branches . BC Hockey expected the evaluations to be completed during the 2024-25 season. Before the process was completed, the VIJHL announced that it would also withdraw from

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