Constructing 2-Arc-Transitive Covers of Hypercubes

Research output: Contribution to journalArticle

Abstract

We introduce the notion of a symmetric basis of a vector space equipped with a quadratic form, and provide a sufficient and necessary condition for the existence to such a basis. Symmetric bases are then used to study Cayley graphs of certain extraspecial 2-groups of order 2 2r+1 (r≥ 1), which are further shown to be normal Cayley graphs and 2-arc-transitive covers of 2r-dimensional hypercubes.

Original languageEnglish
JournalGraphs and Combinatorics
DOIs
Publication statusE-pub ahead of print - 7 Jun 2019

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