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

Author

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  • Shaowei Sun
  • Ziyan Wan
  • Shaofang Hong

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.

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  • Shaowei Sun & Ziyan Wan & Shaofang Hong, 2021. "On the Change of Distance Energy of Complete Bipartite Graph due to Edge Deletion," Journal of Mathematics, Hindawi, vol. 2021, pages 1-3, January.
    • Handle: RePEc:hin:jjmath:6678248
    DOI: 10.1155/2021/6678248
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