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ESA
2005
Springer
95views Algorithms» more  ESA 2005»
14 years 4 months ago
Finding Shortest Non-separating and Non-contractible Cycles for Topologically Embedded Graphs
We present an algorithm for finding shortest surface non-separating cycles in graphs embedded on surfaces in O(g3/2 V 3/2 log V + g5/2 V 1/2 ) time, where V is the number of vert...
Sergio Cabello, Bojan Mohar
COMPGEOM
2010
ACM
14 years 4 months ago
Finding shortest non-trivial cycles in directed graphs on surfaces
Let D be a weighted directed graph cellularly embedded in a surface of genus g, orientable or not, possibly with boundary. We describe algorithms to compute a shortest non-contrac...
Sergio Cabello, Éric Colin de Verdiè...