Domination in bipartite graphs

Harant, Jochen GND; Rautenbach, Dieter GND

We prove that the domination number of a graph of order n and minimum degree at least 2 that does not contain cycles of lengths 4, 5, 7, 10 or 13 is at most 3 8n. Furthermore, we derive upper bounds on the domination number of bipartite graphs of given minimum degree


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