Lundgren, JR and Severini, S and Stewart, DJ (2004) Quadrangularity in Tournaments.
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Abstract
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 |
| UCL classification: | UCL > School of BEAMS > Faculty of Engineering Science > Computer Science |
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