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Start Over Descriptor "Edge-transitive graph" Publisher wiley-blackwell
1 results on '"Edge-transitive graph"'

1. Pentavalent semisymmetric graphs of square‐free order.

Author

Li, Guang and Lu, Zai Ping

Subjects
*CYCLIC groups, *AUTOMORPHISM groups, *REGULAR graphs, *GRAPH connectivity, *HEXAGONS, *CHARTS, diagrams, etc., *VALENCE (Chemistry)
Abstract

A regular graph is semisymmetric if its automorphism group acts transitively on the edge set but not on the vertex set. In this article, we give a complete list of connected semisymmetric graphs of square‐free order and valency 5. The list consists of a single graph, the incidence graph of a generalized hexagon of order (4,4) $(4,4)$, and an infinite family arising from some groups with cyclic Fitting subgroup. [ABSTRACT FROM AUTHOR]

Published
2022
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