On restricted domination in graphs |
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| Authors: | Vladimir Samodivkin |
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| Institution: | (1) Department of Mathematics, University of Architecture, Civil Engineering and Geodesy, 1 Hr. Smirnenski Blv., BG-1046 Sofia, Bulgaria |
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| Abstract: | The k-restricted domination number of a graph G is the minimum number d
k
such that for any subset U of k vertices of G, there is a dominating set in G including U and having at most d
k
vertices. Some new upper bounds in terms of order and degrees for this number are found.
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| Keywords: | dominating set restricted domination number |
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