In general scheduling a sports league is a difficult combinatorial optimization problem. We study some variants of round robin tournaments and analyze the relationship with the planar three index assignment problem. The complexity of scheduling a round robin tournaments is settled by a reduction...

A single round robin tournament can be described as a league of a set T of n teams (n even) to be scheduled such that each team plays exactly once against each other team and such that each team plays exactly once per period resulting in a set P of n — 1 periods. Matches are carried out at one...

Generally speaking in sports competition a number of teams play against each other over a period of time according to a certain scheme. The round robin scheme is very popular in many team sports like soccer and basketball. In this paper we study several basic variants of round robin tournaments....

Single round robin tournaments are a well known class of sports leagues schedules. We consider leagues with a set T of n teams where n is even. Costs are associated to each possible match. The goal is to find the minimum cost tournament among those having the minimum number of breaks. We pick up...

Single round robin tournaments are a well known class of sports leagues schedules. We consider leagues with a set T of n teams where n is even. Costs are associated to each possible match. The goal is to find the minimum cost tournament among those having the minimum number of breaks. We pick up...

Generally speaking in sports competition a number of teams play against each other over a period of time according to a certain scheme. The round robin scheme is very popular in many team sports like soccer and basketball. In this paper we study several basic variants of round robin tournaments....