Re: Re: a challenge/problem.
- To: mathgroup at smc.vnet.net
- Subject: [mg40157] Re: [mg40137] Re: a challenge/problem.
- From: Dr Bob <drbob at bigfoot.com>
- Date: Sun, 23 Mar 2003 04:12:43 -0500 (EST)
- References: <b56hga$bve$1@smc.vnet.net> <b5efij$651$1@smc.vnet.net> <200303221008.FAA22742@smc.vnet.net>
- Reply-to: drbob at bigfoot.com
- Sender: owner-wri-mathgroup at wolfram.com
Paul, Perhaps I'm missing something, but these graphs seem to contain no information about how games are arranged in time. They merely record the results, in terms of who beat whom in each possible pairing. Nor are "score sequences" of any use for laying out a tournament, despite the term "sequence" that sometimes indicates ordering or chronology (but not in this case). So... I'm not sure I can agree that these are graphical representations of tournaments. I am in favor of Swiss system tournaments (commonly used in Chess matches), rather than the exhaustive (and inefficient) tournaments we're talking about here. Swiss system tournaments match up roughly comparable opponents in each round, so that at the end, we don't have controversies about how tough each team's schedule was. The result would be NBA or football playoffs that include the best teams. The down-sides are (1) that the schedule couldn't be determined before the season begins, and (2) by mid-season, losers would be playing losers, so those games would probably be canceled if ticket sales are the goal. The latter is a down-side only for losing teams, however --- but a big plus for fans. Bobby On Sat, 22 Mar 2003 05:08:30 -0500 (EST), Paul Abbott <paul at physics.uwa.edu.au> wrote: > Simon wrote: > >> I've got a puzzle, im not sure how to solve, a friend of mine asked >> me to make a program that given a number of teams (which must be more >> than 4 but other than that just dividable by 2) - now, there is >> teams\2 matches in a round, and no team must play more than 1 match >> in a round (making the number of rounds teams-1). > > There is a Mathematica Notebook at > > http://mathworld.wolfram.com/Tournament.html > > which gives graphical (pun intended) representations of tournaments. > Cheers, > Paul > -- majort at cox-internet.com Bobby R. Treat
- References:
- Re: a challenge/problem.
- From: Paul Abbott <paul@physics.uwa.edu.au>
- Re: a challenge/problem.