Date of Award


Document Type


Degree Name

Master of Science (MS)


Mathematical Sciences

Committee Chair/Advisor

Wayne Goddard

Committee Member

Beth Novick

Committee Member

Svetlana Poznanovik


We consider how the domination number of an undirected graph changes on the removal of a maximal matching. It is straightforward that there are graphs where no matching removal increases the domination number, and where some matching removal doubles the domination number. We show that in a nontrivial tree there is always a matching removal that increases the domination number; and if a graph has domination number at least $2$ there is always a maximal matching removal that does not double the domination number. We show that these results are sharp and discuss related questions.

Author ORCID Identifier



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