On the tree with diameter 4 and maximal energy

Suonan Renqian, Yunpeng Ge, Bofeng Huo, Shengjin Ji and Qiangqiang Diao

Applied Mathematics and Computation, 2015, vol. 268, issue C, 364-374

Abstract: The energy of a simple graph is defined as the sum of the absolute values of all the eigenvalues of its adjacency matrix. Jianping found the structure of trees which have maximal energy among all trees of diameter 4 whose centers are of degree t. This paper generalizes the result. We determine the structure of the general tree of diameter 4 and maximal energy.

Keywords: Graph energy; Tree; Diameter; Maximal energy (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:364-374

DOI: 10.1016/j.amc.2015.06.060

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