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《山东大学学报(理学版)》 ›› 2022, Vol. 57 ›› Issue (6): 44-53.doi: 10.6040/j.issn.1671-9352.0.2021.718

• • 上一篇    

关于图运算的基于度的图熵

吴传书1,3,赵海兴2,3,邓波1,3*   

  1. 1.青海师范大学数学与统计学院, 青海 西宁 810008;2.青海师范大学计算机学院, 青海 西宁 810008;3.藏语智能信息处理及应用国家重点实验室, 青海 西宁 810008
  • 发布日期:2022-06-10
  • 作者简介:吴传书(1997— ),男,硕士研究生,研究方向为图论及其应用. E-mail:wuchuanshu2021@163.com *通信作者简介:邓波(1983— ),男,博士,教授,研究方向为图论及其应用. E-mail:dengbo450@163.com
  • 基金资助:
    高等学校学科创新引智计划资助(D20035);青海省藏文信息处理与机器翻译重点实验室(2020-ZJ-Y05)

Degree-based graph entropy on graph operations

WU Chuan-shu1,3, ZHAO Hai-xing2,3, DENG Bo1,3*   

  1. 1. College of Mathematics and Statistics, Qinghai Normal University, Xining 810008, Qinghai, China;
    2. College of Computer, Qinghai Normal University, Xining 810008, Qinghai, China;
    3. The State Key Laboratory of Tibetan Intelligent Information Processing and Application, Xining 810008, Qinghai, China
  • Published:2022-06-10

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摘要： 研究在对称差、笛卡尔积、张量积、冠积运算下的基于度的图熵计算,以及运用这些结果来计算纳米结构和超立方体分子图的基于度的图熵。

关键词: 图运算, 图熵, 香农熵, 顶点度, 分子图

Abstract: Graph invariants are widely used to construct entropy-based metrics to describe the structures of complex networks. In particular, graph entropy based on vertex degrees is often used to measure graph structure information after graph operations.The degree-based graph entropy calculation on some graph operations containing the symmetric difference, Cartesian product, tensor product, Corona product of graphs are presented. These results are applied to calculate the degree-based graph entropy of molecular graphs such as nano-structure and hypercubes.

Key words: graph operation, graph entropy, Shannon entropy, vertex degree, molecular graph

中图分类号: 

  • O157.5
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