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A new 5‐arc‐transitive cubic graph
Author(s) -
Biggs N. L.
Publication year - 1982
Publication title -
journal of graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 54
eISSN - 1097-0118
pISSN - 0364-9024
DOI - 10.1002/jgt.3190060409
Subject(s) - fano plane , mathematics , combinatorics , cubic graph , transitive relation , automorphism , graph , symmetric graph , coxeter graph , arc (geometry) , discrete mathematics , line graph , voltage graph , pure mathematics , geometry
A connected cubic graph with 2352 vertices is constructed and is shown to have a group of automorphisms which acts transitively on the 5‐arcs. The construction requires only elementary properties of the Fano plane.