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84
Voted
SIAMCOMP
2010
93views more  SIAMCOMP 2010»
14 years 7 months ago
Tightening Nonsimple Paths and Cycles on Surfaces
We describe algorithms to compute the shortest path homotopic to a given path, or the shortest cycle freely homotopic to a given cycle, on an orientable combinatorial surface. Unli...
Éric Colin de Verdière, Jeff Erickso...
84
Voted
SIROCCO
2010
15 years 2 months ago
Multipath Spanners
Abstract. This paper concerns graph spanners that approximate multipaths between pair of vertices of an undirected graphs with n vertices. Classically, a spanner H of stretch s for...
Cyril Gavoille, Quentin Godfroy, Laurent Viennot
95
Voted
ICALP
2000
Springer
15 years 4 months ago
Computing the Girth of a Planar Graph
We give an O(n log n) algorithm for computing the girth (shortest cycle) of an undirected n-vertex planar graph. Our solution extends to any graph of bounded genus. This improves u...
Hristo Djidjev