Cospectral regular graphs with and without a perfect matching

Z. Blázsik,Jay Cummings,W. Haemers

Published 2014 in Discrete Mathematics

ABSTRACT

For each b ? 5 we construct a pair of cospectral b -regular graphs, where one has a perfect matching and the other one not. This solves a research problem posed by the third author at the 22nd British Combinatorial Conference.

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