“Symmetry Parameters of Two-Generator Circulant Graphs,” co-authored by Professor of Mathematics and Statistics Sally Cockburn, was recently published in the journal Annals of Combinatorics. The article presents research done with Sarah Loeb of Hampden-Sydney College and gives the researchers’ “complete results on the symmetry parameters of connected, two-generator circulant graphs.”
In their work, Cockburn and Loeb “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.” They “do the same for the subdivisions of connected, two-generator circulant graphs obtained by replacing one loop in the voltage graph with a directed cycle.”
