Document Type

Article

Publication Date

2013

Publication Source

Australasian Journal Of Combinations

Volume

57

Inclusive pages

21–38

Abstract

For each positive integer n, the toroidal queens graph may be described as a graph with vertex set Zn × Zn where every vertex is adjacent to those vertices in the directions (1, 0), (0, 1), (1, 1), (1,−1) from it. We here extend this idea, examining graphs with vertex set F × F, where F is a finite field, and any four directions are used to define adjacency. The automorphism groups and isomorphism classes of such graphs are found.

Disciplines

Mathematics

Included in

Mathematics Commons

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