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.
机构:
Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R ChinaNorthwestern Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
Liu, Xiaogang
Wu, Tingzeng
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Qinghai National Univ, Sch Math & Stat, Xining 810007, Qinghai, Peoples R ChinaNorthwestern Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China