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COMPGEOM
2010
ACM
14 years 1 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...
ICRA
2010
IEEE
126views Robotics» more  ICRA 2010»
13 years 7 months ago
Planning short paths with clearance using explicit corridors
— A central problem of applications dealing with virtual environments is planning a collision-free path for a character. Since environments and their characters are growing more ...
Roland Geraerts
ALGORITHMICA
2011
13 years 3 months ago
All-Pairs Bottleneck Paths in Vertex Weighted Graphs
Let G = (V, E, w) be a directed graph, where w : V → R is an arbitrary weight function defined on its vertices. The bottleneck weight, or the capacity, of a path is the smalles...
Asaf Shapira, Raphael Yuster, Uri Zwick
WADS
2007
Springer
104views Algorithms» more  WADS 2007»
14 years 2 months ago
Faster Approximation of Distances in Graphs
Let G = (V, E) be an weighted undirected graph on n vertices and m edges, and let dG be its shortest path metric. We present two simple deterministic algorithms for approximating ...
Piotr Berman, Shiva Prasad Kasiviswanathan
COMPGEOM
2010
ACM
14 years 1 months ago
Output-sensitive algorithm for the edge-width of an embedded graph
Let G be an unweighted graph of complexity n cellularly embedded in a surface (orientable or not) of genus g. We describe improved algorithms to compute (the length of) a shortest...
Sergio Cabello, Éric Colin de Verdiè...