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Open AccessArticle

Extremal Matching Energy of Random Polyomino Chains

1
School of Mathematics and Statistics, Qinghai Nationalities University, Xining 810007, Qinghai, China
2
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 610054, Sichuan, China
*
Author to whom correspondence should be addressed.
Entropy 2017, 19(12), 684; https://doi.org/10.3390/e19120684
Received: 21 October 2017 / Revised: 9 December 2017 / Accepted: 11 December 2017 / Published: 14 December 2017
Polyomino graphs is one of the research objectives in statistical physics and in modeling problems of surface chemistry. A random polyomino chain is a subgraph of a polyomino graph. The matching energy is defined as the sum of the absolute values of the zeros of the matching polynomial of a graph. In this paper, we characterize the graphs with the extremal matching energy among all random polyomino chains of a polyomino graph by the probability method. View Full-Text
Keywords: polyomino graph; random polyomino chain; matching energy polyomino graph; random polyomino chain; matching energy
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Wu, T.; Lü, H.; Zhang, X. Extremal Matching Energy of Random Polyomino Chains. Entropy 2017, 19, 684.

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