TITLE:
Constructing Matching Equivalent Graphs
AUTHORS:
Tingzeng Wu, Huazhong Lü
KEYWORDS:
Matching Polynomial, Matching Equivalent, Cospectral
JOURNAL NAME:
Applied Mathematics,
Vol.8 No.4,
April
24,
2017
ABSTRACT: Two nonisomorphic graphs G and H are said to be matching equivalent if and only if G and H have the same matching polynomials. In this paper, some families matching equivalent graphs are constructed. In particular, a new method to construct cospectral forests is given.