Article ID Journal Published Year Pages File Type
4653129 Electronic Notes in Discrete Mathematics 2006 6 Pages PDF
Abstract

An induced matching M of a graph G is a set of pairwise non-adjacent edges such that their end-vertices induce a 1-regular subgraph. An induced matching M is maximal if no other induced matching contains M. The Minimum Induced Matching problem asks for a minimum maximal induced matching in a given graph. The problem is known to be NP-complete. Here we show that, if G is a tree then this problem can be solved in linear time.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics