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ARSCOM
2006
96views more  ARSCOM 2006»
13 years 5 months ago
The Weighted Integrity Problem is Polynomial for Interval Graphs
Sibabrata Ray, Rajgopal Kannan, Danyang Zhang, Hon...
FAW
2009
Springer
134views Algorithms» more  FAW 2009»
13 years 12 months ago
Pathwidth is NP-Hard for Weighted Trees
The pathwidth of a graph G is the minimum clique number of H minus one, over all interval supergraphs H of G. We prove in this paper that the PATHWIDTH problem is NP-hard for parti...
Rodica Mihai, Ioan Todinca
ORL
2008
99views more  ORL 2008»
13 years 5 months ago
Some tractable instances of interval data minmax regret problems
This paper focuses on tractable instances of interval data minmax regret graph problems. More precisely, we provide polynomial and pseudopolynomial algorithms for sets of particul...
Bruno Escoffier, Jérôme Monnot, Olivi...
ICALP
2011
Springer
12 years 8 months ago
Clique Clustering Yields a PTAS for max-Coloring Interval Graphs
We are given an interval graph G = (V, E) where each interval I ∈ V has a weight wI ∈ R+. The goal is to color the intervals V with an arbitrary number of color classes C1, C2...
Tim Nonner
CORR
2011
Springer
143views Education» more  CORR 2011»
12 years 9 months ago
Polynomial kernels for Proper Interval Completion and related problems
Given a graph G = (V, E) and a positive integer k, the Proper Interval Completion problem asks whether there exists a set F of at most k pairs of (V × V ) \ E such that the graph...
Stéphane Bessy, Anthony Perez