Extremal Matching Energy of Random Polyomino Chains

نویسندگان

Tingzeng Wu

Huazhong Lü

Xuexin Zhang

چکیده

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.

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