JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (12): 140-150.doi: 10.6040/j.issn.1671-9352.0.2022.434

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Domination entropy based on graph operations

Ying JI1,2(),Bo DENG1,2,Haixing ZHAO1,2,3,*(),Yanlong TANG2,3   

  1. 1. College of Mathematics and Statistics, Qinghai Normal University, Xining 810008, Qinghai, China
    2. State Key Laboratory of Tibetan Intelligent Information Processing and Application, Xining 810008, Qinghai, China
    3. College of Computer, Qinghai Normal University, Xining 810008, Qinghai, China
  • Received:2022-08-19 Online:2023-12-20 Published:2023-12-19
  • Contact: Haixing ZHAO E-mail:jiying197@163.com;h.x.zhao@163.com

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Abstract:

Graph invariants are widely used to construct entropy-based metrics to characterize the structure of complex networks. In particular, graph entropy based on dominating sets is often applied to characterize the amount of information in communication systems and the stability of computer networks. Graph entropy calculations are studied based on dominating sets under the four operations of graphs. That is the operations of the disjoint union, joining, corona product, and Cartesian product using the complete graph, star graph, comb graph, and friendship graph.

Key words: graph entropy, graph operation, domination polynomial, domination entropy

CLC Number: 

  • O157.5

Fig.1

Comb graph En"

Fig.2

Friendship graph F2, F3 and F4"

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