Total domination multisubdivision number of a graph

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Total domination multisubdivision number of a graph

The domination multisubdivision number of a nonempty graph G was defined in [3] as the minimum positive integer k such that there exists an edge which must be subdivided k times to increase the domination number of G. Similarly we define the total domination multisubdivision number msdγt(G) of a graph G and we show that for any connected graph G of order at least two, msdγt(G) ≤ 3. We show that...

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ژورنال

عنوان ژورنال: Discussiones Mathematicae Graph Theory

سال: 2015

ISSN: 1234-3099,2083-5892

DOI: 10.7151/dmgt.1798