On the Change of Distance Energy of Complete Bipartite Graph due to Edge Deletion

Shaowei Sun, Ziyan Wan and Shaofang Hong

Journal of Mathematics, 2021, vol. 2021, 1-3

Abstract: The distance energy of a graph is defined as the sum of absolute values of distance eigenvalues of the graph. The distance energy of a graph plays an important role in many fields. By constructing a new polynomial, we transform a problem on the sum of the absolute values of the roots of a quadratic polynomial into a problem on the largest root of a cubic polynomial. Hence, we give a new and shorter proof on the change of distance energy of a complete bipartite graph due to edge deletion, which was given by Varghese et al.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6678248

DOI: 10.1155/2021/6678248

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