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MICS
2010
124views more  MICS 2010»
13 years 2 months ago
An Optimal Algorithm for the k-Fixed-Endpoint Path Cover on Proper Interval Graphs
In this paper we consider the k-fixed-endpoint path cover problem on proper interval graphs, which is a generalization of the path cover problem. Given a graph G and a set T of k v...
George B. Mertzios, Walter Unger
STOC
2007
ACM
134views Algorithms» more  STOC 2007»
14 years 8 months ago
Hardness of routing with congestion in directed graphs
Given as input a directed graph on N vertices and a set of source-destination pairs, we study the problem of routing the maximum possible number of source-destination pairs on pat...
Julia Chuzhoy, Venkatesan Guruswami, Sanjeev Khann...
AAIM
2007
Springer
123views Algorithms» more  AAIM 2007»
13 years 11 months ago
Efficient Algorithms for k -Disjoint Paths Problems on DAGs
Given an acyclic directed graph and two distinct nodes s and t, we consider the problem of finding k disjoint paths from s to t satisfying some objective. We consider four objectiv...
Rudolf Fleischer, Qi Ge, Jian Li, Hong Zhu
ICALP
2010
Springer
13 years 11 months ago
Testing 2-Vertex Connectivity and Computing Pairs of Vertex-Disjoint s-t Paths in Digraphs
We present an O(m + n)-time algorithm that tests if a given directed graph is 2-vertex connected, where m is the number of arcs and n is the number of vertices. Based on this resul...
Loukas Georgiadis
MST
2010
106views more  MST 2010»
13 years 6 months ago
Constrained-Path Labellings on Graphs of Bounded Clique-Width
Given a graph G we consider the problem of preprocessing it so that given two vertices x,y and a set X of vertices, we can efficiently report the shortest path (or just its length...
Bruno Courcelle, Andrew Twigg