吉首大学学报(自然科学版) ›› 2025, Vol. 46 ›› Issue (6): 1-6.DOI: 10.13438/j.cnki.jdzk.2025.06.001

• 数学 •    下一篇

循环图的Sombor能量上界

周后卿,任勇   

  1. (湖南信息学院通识教育学院,湖南 长沙 410151)
  • 出版日期:2025-11-25 发布日期:2025-12-17
  • 作者简介:周后卿(1963—),男,湖南新邵人,湖南信息学院通识教育学院教授,硕士,主要从事图论及其应用研究.

Upper Bounds of Sombor Energy of Circulant Graphs

 ZHOU Houqing,REN Yong   

  1. (School of General Education,Hunan University of Information Technology,Changsha 410151,China)
  • Online:2025-11-25 Published:2025-12-17

摘要:图的Sombor能量是图的Sombor矩阵的特征值的绝对值之和.利用矩阵理论和不等式性质,以及图的Sombor能量与图的能量的关系,获得了循环图的Sombor能量上界的几个新结果.

关键词: 循环图, Sombor能量, 上界

Abstract: The Sombor energy of a graph is the sum of the absolute values of the eigenvalues of the Sombor matrix of the graph.By applying matrix theory and inequality properties,as well as the relationship between the Sombor energy of a graph and the energy of the graph,several new upper bounds of the Sombor energy of circulant graphs are obtained.

Key words: circulant graph, Sombor energy, upper bound

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