Some Results on the Strong Roman Domination Number of Graphs

Let G=(V,E) be a finite and simple graph of order n and maximum‎ ‎degree Δ(G)‎. ‎A strong Roman dominating function on a‎ ‎graph  G  is a function  f‎:V (G)→{0‎, ‎1,… ,‎[Δ(G)/2 ]‎+ ‎1}  satisfying the condition that every‎ ‎vertex v for which  f(v)=0  is adjacent to at least one vertex  u ‎for which...

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Bibliographic Details
Main Authors: Akram Mahmoodi, Sakineh Nazari-Moghaddam, Afshin Behmaram
Format: Article
Language:English
Published: University of Kashan 2020-09-01
Series:Mathematics Interdisciplinary Research
Subjects:
Online Access:https://mir.kashanu.ac.ir/article_110816_2ff1aa058881fe3c1ad101ed2efb2b99.pdf