An optimal algorithm for finding dominating cycles in circular-arc graphs

An optimal algorithm for finding dominating cycles in circular-arc graphs

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Article ID: iaor19921844
Country: Netherlands
Volume: 36
Issue: 1
Start Page Number: 25
End Page Number: 34
Publication Date: Mar 1992
Journal: Discrete Applied Mathematics
Authors: ,
Abstract:

A subset D of the vertices of a graph is a dominating cycle if (i) every vertex not in D is adjacent to a vertex in D, and (ii) the subgraph induced by D has a Hamiltonian cycle. In this paper the authors present an optimal ¦](nlogn) time algorithm for the problem of finding a minimum cardinality dominating cycle in a circular-arc graph.

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