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arXiv · 1409.2039

Matching Energy of Unicyclic and Bicyclic Graphs with a Given Diameter

Lin Chen·Jinfeng Liu·Yongtang Shi
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Abstract

Gutman and Wagner proposed the concept of matching energy (ME) and pointed out that the chemical applications of ME go back to the 1970s. Let $G$ be a simple graph of order $n$ and $μ_1,μ_2,\ldots,μ_n$ be the roots of its matching polynomial. The matching energy of $G$ is defined to be the sum of the absolute values of $μ_{i}\ (i=1,2,\ldots,n)$. In this paper, we characterize the graphs with minimal matching energy among all unicyclic and bicyclic graphs with a given diameter $d$.

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Lin Chen, Jinfeng Liu, Yongtang Shi. 2014-09-06. Matching Energy of Unicyclic and Bicyclic Graphs with a Given Diameter. https://arxiv.org/abs/1409.2039

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