Some sufficient conditions for a tree to have its weak Roman domination number be equal to its domination number plus 1
Let $ G = (V, E) $ be a simple graph with vertex set $ V $ and edge set $ E $, and let $ f $ be a function $ f:V\mapsto \{0, 1, 2\} $. A vertex $ u $ with $ f(u) = 0 $ is said to be undefended with respect to $ f $ if it is not adjacent to a vertex with positive weight. The function $ f $ is a weak...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
AIMS Press
2023-05-01
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Series: | AIMS Mathematics |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023904?viewType=HTML |