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Quadrangularity in Tournaments

Lundgren, JR; Severini, S; Stewart, DJ; Quadrangularity in Tournaments.

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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.

Type: Article
Title: Quadrangularity in Tournaments
Additional information: 13 pages
Keywords: math.CO, math.CO, quant-ph, 05C20; 05C50
URI: http://discovery.ucl.ac.uk/id/eprint/404754
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