Let G be a simple graph with adjacency matrix A(G) and π(G,x) the permanental polynomial of G. Let G × H denotes the Cartesian product of graphs G and H. Inspired by Klein’s idea to compute the permanent of some matrices (Mol. Phy. 31 (3) (1976) 811–823), in this paper in terms of some orientation of graphs we study the permanental polynomial of a type of graphs. Here are some of our main results.
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Qinghai Nationalities Univ, Sch Math & Stat, Xining, Qinghai, Peoples R ChinaQinghai Nationalities Univ, Sch Math & Stat, Xining, Qinghai, Peoples R China
Wu, Tingzeng
Lai, Hong-Jian
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West Virginia Univ, Dept Math, Morgantown, WV USAQinghai Nationalities Univ, Sch Math & Stat, Xining, Qinghai, Peoples R China
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School of Mathematics and Statistics, Qinghai Nationalities University, Qinghai, Xining,810007, ChinaSchool of Mathematics and Statistics, Qinghai Nationalities University, Qinghai, Xining,810007, China
Wu, Tingzeng
Bai, Yinggang
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School of Mathematics and Statistics, Qinghai Nationalities University, Qinghai, Xining,810007, ChinaSchool of Mathematics and Statistics, Qinghai Nationalities University, Qinghai, Xining,810007, China