A subset of the nodes of a graph G is a dominating set if every other node

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A subset of the nodes of a graph G is a dominating set if every other node of G is adjacent to some node in the subset. Let

DOMINATING-SET = {〈G, k〉| G has a dominating set with k nodes}.

Show that it is NP-complete by giving a reduction from VERTEX-COVER.

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Introduction to the theory of computation

ISBN: 978-0470530658

3rd edition

Authors: Michael Sipser

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Question Posted: Sep 02, 2020 05:00 AM

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A subset of the nodes of a graph G is a dominating set if every other node

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To show that DOMINATINGSET is NPcomplete we need to show that it is in NP and that it is NPhard To show that DOMINATINGSET is in NP we need to show th...View the full answer

Introduction to the theory of computation

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