Operations Research Transactions ›› 2025, Vol. 29 ›› Issue (1): 98-104.doi: 10.15960/j.cnki.issn.1007-6093.2025.01.008

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On the upper bounds of inverse signed total domination number

Huahui SHANG1,*(), Lianying MIAO2   

  1. 1. Department ofBasic Courses, Yongcheng Vocational College, Shangqiu 476600, Henan, China
    2. School of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China
  • Received:2022-11-16 Online:2025-03-15 Published:2025-03-08
  • Contact: Huahui SHANG E-mail:shanghuahui@126.com

Abstract:

The upper bounds of the inverse signed total domination number are studied. By sets analysis and optimizing, relations between degree, odd set and size are established. Furthermore, five upper bounds of inverse signed total domination number of graphs are obtained, and the graphs satisfying these bounds are given respectively.

Key words: the inverse signed total domination, the inverse signed total domination number, upper bound

CLC Number: