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WG
2010
Springer
14 years 8 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
14 years 11 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
14 years 8 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»
14 years 11 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»
14 years 10 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...