Characterization of trees with Roman bondage number 1

Let $G=(V,E)$ be a simple undirected graph. A Roman dominating function on $G$ is a function $f: V\to \{0,1,2\}$ satisfying the condition that every vertex $u$ with $f(u)=0$ is adjacent to at least one vertex $v$ with $f(v)=2$. The weight of a Roman dominating function is the value $f(G)=\sum_{u\in...

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Bibliographic Details
Main Authors: Fu-Tao Hu, Xing Wei Wang, Ning Li
Format: Article
Language:English
Published: AIMS Press 2020-08-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020397/fulltext.html