On Roman balanced domination of graphs
Let $ G $ be a graph with vertex set $ V $. A function $ f $ : $ V\to \{-1, 0, 2\} $ is called a Roman balanced dominating function (RBDF) of $ G $ if $ \sum_{u\in N_G[v]}f(u) = 0 $ for each vertex $ v\in V $. The maximum (resp. minimum) Roman balanced domination number $ \gamma^{M}_{Rb}(G) $ (resp....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241707 |
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