Lundgren, JR; Severini, S; Stewart, DJ; (2004) 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.
|Title:||Quadrangularity in Tournaments|
|Additional information:||13 pages|
|Keywords:||math.CO, math.CO, quant-ph, 05C20; 05C50|
|UCL classification:||UCL > School of BEAMS > Faculty of Engineering Science > Computer Science|
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