Extremal Graphs for a Bound on the Roman Domination Number
A Roman dominating function on a graph G = (V, E) is a function f:V (G) → {0, 1, 2} such that every vertex u for which 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 w(f) = Σu∈V(G)f(u). The minimum weight of a Roman dominating func...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Sciendo
2020-08-01
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Series: | Discussiones Mathematicae Graph Theory |
Subjects: | |
Online Access: | https://doi.org/10.7151/dmgt.2142 |