Enumeration of permanental sums of lattice graphs

Wei Li, Zhongmei Qin and Yao Wang

Applied Mathematics and Computation, 2020, vol. 370, issue C

Abstract: The permanental sum PS(G) is the coefficients sum of the permanental polynomial of a graph G. In this work, we exhibit the explicit expressions of the permanental sums of quadrilateral linear chains on the plane and quadrilateral linear rings on the cylinder by establishing orientation graphs, respectively. Meanwhile, we show that the permanental sum of the hexagonal linear chain with n hexagons is (n+1)2, which determines the value of permanental sum of the extremal hexagonal chain in [9].

Keywords: Permanental sum; Quadrilateral linear chain; Hexagonal linear chain; Quadrilateral linear ring (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:370:y:2020:i:c:s0096300319309063

DOI: 10.1016/j.amc.2019.124914

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