Subgroup chain graphs

Research output: Contribution to journalArticle

Abstract

Starting from chains of subgroups in a group a construction for k-regular graphs is given and as an application of this construction a cubic graph of girth 20 with 6072 vertices is produced. This graph is exceptional in that, at the time of writing, it has fewest vertices for a cubic graph of this girth.
Original languageEnglish
Pages (from-to)537-545
Number of pages9
JournalGraphs and Combinatorics
Volume19
Issue number4
DOIs
Publication statusPublished - 1 Nov 2003

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