By Sally Cockburn and Sarah Loeb

The derived graph of a voltage graph consisting of a single vertex and two loops of different voltages is a circulant graph with two generators. We characterize the automorphism groups of connected, two-generator circulant graphs, and give their determining and distinguishing number, and when relevant, their cost of 2-distinguishing. We... Show more

August 6, 2024

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Symmetry Parameters of Two-Generator Circulant Graphs

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