On the theory of the matching polynomial
On the theory of the matching polynomial
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DOI:
10.1002/jgt.3190050203
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发表时间:
1981-06
期刊:
影响因子:
--
通讯作者:
C. Godsil;I. Gutman
中科院分区:
文献类型:
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作者:
C. Godsil;I. Gutman
In this paper we report on the properties of the matching polynomial α(G) of a graph G. We present a number of recursion formulas for α(G), from which it follows that many families of orthogonal polynomials arise as matching polynomials of suitable families of graphs. We consider the relation between the matching and characteristic polynomials of a graph. Finally, we consider results which provide information on the zeros of α(G).