problem about tournament
Source: China south east mathematical olympiad 2004 day2 problem 7
June 29, 2013
floor functionceiling functionpigeonhole principleset theorycombinatorics unsolvedcombinatorics
Problem Statement
A tournament is held among teams, following such rules:
a) every team plays all others once at home and once away.(i.e. double round-robin schedule)
b) each team may participate in several away games in a week(from Sunday to Saturday).
c) there is no away game arrangement for a team, if it has a home game in the same week.
If the tournament finishes in 4 weeks, determine the maximum value of .