Isomorphic and Nonisomorphic, Isospectral Circulant Graphs

Details Isomorphic and Nonisomorphic, Isospectral Circulant Graphs Isomorphic and Nonisomorphic, Isospectral Circulant Graphs

2009-04-13

arxiv.org/abs/0904.1968v1

Mathematics

Combinatorics

27 pages, 1 figure

Scientific paper

New criteria for which Cayley graphs of cyclic groups of any order can be
completely determined--up to isomorphism--by the eigenvalues of their adjacency
matrices is presented. Secondly, a new construction for pairs of nonisomorphic
Cayley graphs of cyclic groups with the same list of eigenvalues of their
adjacency matrices will be presented.

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