Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416759 | Linear Algebra and its Applications | 2013 | 9 Pages |
Abstract
We enumerate all connected graphs with minimal vertex degree 2 on at most 11 vertices and determine their Ihara zeta functions. We also count the number of such graphs for which there is another graph with the same zeta function. We then use these graphs to conjecture properties of the graphs determined by the zeta function. In addition, we study switching constructions, proposed by Godsil and McKay, to determine whether they preserve the zeta function. We show that GM switching is not strong enough to preserve the zeta function, but GMâ switching, following the notation of Haemers and Spence, does preserve the zeta function.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
A. Setyadi, C.K. Storm,