An improved exact algorithm for maximum induced matching

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Abstract

This paper studies exact algorithms for the Maximum Induced Matching problem, in which an n-vertex graph is given and we are asked to find a set of maximum number of edges in the graph such that no pair of edges in the set have a common endpoint or are adjacent by another edge. This problem has applications in many different areas. We will give several structural properties of the problem and present an O ∗ (1.4391n)-time algorithm, which improves previous exact algorithms for this problem.

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Xiao, M., & Tan, H. (2015). An improved exact algorithm for maximum induced matching. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9076, pp. 272–283). Springer Verlag. https://doi.org/10.1007/978-3-319-17142-5_24

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