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CORR
2006
Springer
144views Education» more  CORR 2006»
13 years 5 months ago
The minimum linear arrangement problem on proper interval graphs
We present a linear time algorithm for the minimum linear arrangement problem on proper interval graphs. The obtained ordering is a 4-approximation for general interval graphs. 1 ...
Ilya Safro
BIRTHDAY
2010
Springer
13 years 6 months ago
Fixed-Point Definability and Polynomial Time on Chordal Graphs and Line Graphs
The question of whether there is a logic that captures polynomial time was formulated by Yuri Gurevich in 1988. It is still wide open and regarded as one of the main open problems...
Martin Grohe
DM
2008
111views more  DM 2008»
13 years 5 months ago
Planarity of iterated line graphs
The line index of a graph G is the smallest k such that the kth iterated line graph of G is nonplanar. We show that the line index of a graph is either in nite or it is at most 4....
Mohammad Ghebleh, Mahdad Khatirinejad
NETWORKS
2011
13 years 9 days ago
Line planning, path constrained network flow and inapproximability
Abstract. We consider a basic subproblem which arises in line planning, and is of particular importance in the context of a high system load or robustness: How much can be routed m...
Christina Büsing, Sebastian Stiller
STOC
2006
ACM
112views Algorithms» more  STOC 2006»
14 years 5 months ago
A quasi-PTAS for unsplittable flow on line graphs
We study the Unsplittable Flow Problem (UFP) on a line graph, focusing on the long-standing open question of whether the problem is APX-hard. We describe a deterministic quasi-pol...
Nikhil Bansal, Amit Chakrabarti, Amir Epstein, Bar...