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math.CO2016
Graphs with Integer Matching Polynomial Roots
S. Akbari, P. Csikvari, A. Ghafari +2
In this paper, we study graphs whose matching polynomial have only integer zeros. A graph is matching integral if the zeros of its matching polynomial are all integers. We characte…
math.CO2016★ 5 cited
Hoffmann-Ostenhof's conjecture for traceable cubic graphs
F. Abdolhosseini, S. Akbari, H. Hashemi +1
It was conjectured by Hoffmann-Ostenhof that the edge set of every connected cubic graph can be decomposed into a spanning tree, a matching and a family of cycles. In this paper, w…