Ontology type: schema:Chapter Open Access: True
2011
AUTHORS ABSTRACTThe 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 non-trivial algorithm for the problem, given by Djidjev, runs in O(n5/4logn) time. Chalermsook, Fakcharoenphol, and Nanongkai reduced the running time to O(nlog2n). Weimann and Yuster further reduced the running time to O(nlogn). In this paper, we solve the problem in O(n) time. More... »
PAGES225-236
Computing and Combinatorics
ISBN
978-3-642-22684-7
978-3-642-22685-4
http://scigraph.springernature.com/pub.10.1007/978-3-642-22685-4_20
DOIhttp://dx.doi.org/10.1007/978-3-642-22685-4_20
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