Computing the Girth of a Planar Graph in Linear Time

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Computing the Girth of a Planar Graph in Linear Time

The girth of a graph is the minimum weight of all simple cycles of the graph. We study the problem of determining the girth of an n-node unweighted undirected planar graph. The first nontrivial algorithm for the problem, given by Djidjev, runs in O(n5/4 logn) time. Chalermsook, Fakcharoenphol, and Nanongkai reduced the running time to O(n log n). Weimann and Yuster further reduced the running t...

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ژورنال

عنوان ژورنال: SIAM Journal on Computing

سال: 2013

ISSN: 0097-5397,1095-7111

DOI: 10.1137/110832033