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- W4362737182 abstract "A set S of vertices in G is a semitotal dominating set of G if it is a dominating set of G and every vertex in S is within distance 2 of another vertex of S. The semitotal domination number, $$gamma _{t2}(G)$$ , is the minimum cardinality of a semitotal dominating set of G. The semitotal domination multisubdivision number of a graph G, $$msd_{gamma _{t2}}(G)$$ , is the minimum positive integer k such that there exists an edge which must be subdivided k times to increase the semitotal domination number of G. In this paper, we show that $$msd_{gamma _{t2}}(G)le 3$$ for any graph G of order at least 3, we also determine the semitotal domination multisubdivision number for some classes of graphs and characterize trees T with $$msd_{gamma _{t2}}(T)=1$$ , 2 and 3, respectively." @default.
- W4362737182 created "2023-04-11" @default.
- W4362737182 creator A5058919260 @default.
- W4362737182 date "2023-04-10" @default.
- W4362737182 modified "2023-10-07" @default.
- W4362737182 title "Semitotal Domination Multisubdivision Number of a Graph" @default.
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- W4362737182 doi "https://doi.org/10.1007/s40995-023-01450-6" @default.
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