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SIAMCOMP
2010
172views more  SIAMCOMP 2010»
14 years 4 months ago
More Algorithms for All-Pairs Shortest Paths in Weighted Graphs
In the first part of the paper, we reexamine the all-pairs shortest paths (APSP) problem and present a new algorithm with running time O(n3 log3 log n/ log2 n), which improves all...
Timothy M. Chan
CPM
2008
Springer
149views Combinatorics» more  CPM 2008»
14 years 11 months ago
On Compact Representations of All-Pairs-Shortest-Path-Distance Matrices
Let G be an unweighted and undirected graph of n nodes, and let D be the n
Igor Nitto, Rossano Venturini
STACS
2010
Springer
15 years 4 months ago
Two-phase Algorithms for the Parametric Shortest Path Problem
Abstract. A parametric weighted graph is a graph whose edges are labeled with continuous real functions of a single common variable. For any instantiation of the variable, one obta...
Sourav Chakraborty, Eldar Fischer, Oded Lachish, R...
ESA
2004
Springer
95views Algorithms» more  ESA 2004»
15 years 3 months ago
On Dynamic Shortest Paths Problems
We obtain the following results related to dynamic versions of the shortest-paths problem: (i) Reductions that show that the incremental and decremental singlesource shortest-paths...
Liam Roditty, Uri Zwick
CORR
2012
Springer
195views Education» more  CORR 2012»
13 years 5 months ago
Multiple-Source Shortest Paths in Embedded Graphs
Let G be a directed graph with n vertices and non-negative weights in its directed edges, embedded on a surface of genus g, and let f be an arbitrary face of G. We describe an alg...
Sergio Cabello, Erin W. Chambers, Jeff Erickson