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WG
2010
Springer
13 years 2 months ago
From Path Graphs to Directed Path Graphs
We present a linear time algorithm to greedily orient the edges of a path graph model to obtain a directed path graph model (when possible). Moreover we extend this algorithm to fi...
Steven Chaplick, Marisa Gutierrez, Benjamin L&eacu...
FSTTCS
2008
Springer
13 years 6 months ago
STCON in Directed Unique-Path Graphs
ABSTRACT. We study the problem of space-efficient polynomial-time algorithms for directed stconnectivity (STCON). Given a directed graph G, and a pair of vertices s, t, the STCON ...
Sampath Kannan, Sanjeev Khanna, Sudeepa Roy
FOCS
2010
IEEE
13 years 2 months ago
Replacement Paths via Fast Matrix Multiplication
Let G be a directed edge-weighted graph and let P be a shortest path from s to t in G. The replacement paths problem asks to compute, for every edge e on P, the shortest s-to-t pat...
Oren Weimann, Raphael Yuster
SODA
2007
ACM
131views Algorithms» more  SODA 2007»
13 years 6 months ago
On the K-simple shortest paths problem in weighted directed graphs
We obtain the first approximation algorithm for finding the k-simple shortest paths connecting a pair of vertices in a weighted directed graph. Our algorithm is deterministic an...
Liam Roditty
CORR
2008
Springer
71views Education» more  CORR 2008»
13 years 5 months ago
Asteroids in rooted and directed path graphs
An asteroidal triple is a stable set of three vertices such that each pair is connected by a path avoiding the neighborhood of the third vertex. Asteroidal triples play a central ...
Kathie Cameron, Chính T. Hoàng, Benj...