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2019•Mathematical NotesRequires access

On the Automorphism Group of an Antipodal Tight Graph of Diameter 4 with Parameters (5, 7, r)

L. Yu. Tsiovkina

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Abstract

It is proved that the automorphism group of every AT4(5, 7, r )-graph acts intransitively on the set of its arcs. Moreover, it is established that the automorphism group of any strongly regular graph with parameters (329, 40, 3, 5) acts intransitively on the set of its vertices.

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What this paper is about

It is proved that the automorphism group of every AT4(5, 7, r )-graph acts intransitively on the set of its arcs. Moreover, it is established that the automorphism group of any strongly regular graph with parameters (329, 40, 3, 5) acts intransitively on the set of its vertices.

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Available abstract

It is proved that the automorphism group of every AT4(5, 7, r )-graph acts intransitively on the set of its arcs. Moreover, it is established that the automorphism group of any strongly regular graph with parameters (329, 40, 3, 5) acts intransitively on the set of its vertices.

Key concepts: Mathematics, Antipodal point, Automorphism group, Combinatorics, Graph automorphism, Edge-transitive graph, Graph, Automorphism

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