Enumeration of Seidel matrices

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Abstract

In this paper Seidel matrices are studied, and their spectrum and several related algebraic properties are determined for order n≤13. Based on this Seidel matrices with exactly three distinct eigenvalues of order n≤23 are classified. One consequence of the computational results is that the maximum number of equiangular lines in R12 with common angle 1∕5 is exactly 20.

Details

Original languageEnglish
Pages (from-to)169-184
Number of pages16
JournalEuropean Journal of Combinatorics
Volume69
Publication statusPublished - 1 Mar 2018
MoE publication typeA1 Journal article-refereed

ID: 16411451