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FOCS
1994
IEEE
13 years 8 months ago
Finding the k Shortest Paths
We describe algorithms for finding the k shortest paths connecting a given pair of vertices in a digraph (allowing cycles). Our algorithms output an implicit representation of the...
David Eppstein
COMGEO
2006
ACM
13 years 4 months ago
Computing homotopic shortest paths efficiently
Geometric shortest paths are a major topic in computational geometry; see the survey paper by Mitchell [12]. A shortest path between two points in a simple polygon can be found in...
Alon Efrat, Stephen G. Kobourov, Anna Lubiw
FOCS
1992
IEEE
13 years 8 months ago
Witnesses for Boolean Matrix Multiplication and for Shortest Paths
Abstract Summary of results The subcubic (O(n ) for < 3) algorithms to multiply Boolean matrices do not provide the witnesses; namely, they compute C = AB but if Cij = 1 they d...
Noga Alon, Zvi Galil, Oded Margalit, Moni Naor