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SIAMCOMP
2010
172views more  SIAMCOMP 2010»
13 years 2 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»
13 years 9 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
14 years 2 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»
14 years 22 days 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»
12 years 3 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