Quadrangularity in Tournaments

Details Quadrangularity in Tournaments Quadrangularity in Tournaments

2004-04-18

arxiv.org/abs/math/0404320v1

Mathematics

Combinatorics

13 pages

Scientific paper

The pattern of a matrix M is a (0,1)-matrix which replaces all non-zero entries of M with a 1. There are several contexts in which studying the patterns of orthogonal matrices can be useful. One necessary condition for a matrix to be orthogonal is a property known as combinatorial orthogonality. If the adjacency matrix of a directed graph forms a pattern of a combinatorially orthogonal matrix, we say the digraph is quadrangular. We look at the quadrangular property in tournaments and regular tournaments.

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