2011•Unpublished venueRequires access

The graphical representations of connected cubic arc-transitive coset graphs of minimum degree on PSL(2,13)

Tang Li-rong

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Abstract

This paper studies the graphical representations of connected cubic arc-transitive coset graphs onPSL(2, 13) based on the graphical representations of given group G. The following result is proved. PSL(2, 13)has the minimum degree 182 of connected cubic arc-transitive coset graphical representations. The example ofthe coset graphical representations is given.

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What this paper is about

This paper studies the graphical representations of connected cubic arc-transitive coset graphs onPSL(2, 13) based on the graphical representations of given group G. The following result is proved. PSL(2, 13)has the minimum degree 182 of connected cubic arc-transitive coset graphical representations. The example ofthe coset graphical representations is given.

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Available abstract

This paper studies the graphical representations of connected cubic arc-transitive coset graphs onPSL(2, 13) based on the graphical representations of given group G. The following result is proved. PSL(2, 13)has the minimum degree 182 of connected cubic arc-transitive coset graphical representations. The example ofthe coset graphical representations is given.

Key concepts: PSL, Coset, Mathematics, Transitive relation, Combinatorics, Arc (geometry), Degree (music), Discrete mathematics

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