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ICALP
2005
Springer
15 years 3 months ago
Online Interval Coloring and Variants
We study interval coloring problems and present new upper and lower bounds for several variants. We are interested in four problems, online coloring of intervals with and without b...
Leah Epstein, Meital Levy
DAM
2007
105views more  DAM 2007»
14 years 10 months ago
Recognizing and representing proper interval graphs in parallel using merging and sorting
We present a parallel algorithm for recognizing and representing a proper interval graph in O(log2 n) time with O(m + n) processors on the CREW PRAM, where m and n are the number ...
Jørgen Bang-Jensen, Jing Huang, Louis Ibarr...
85
Voted
ALGORITHMICA
2007
80views more  ALGORITHMICA 2007»
14 years 10 months ago
Tree Spanners for Bipartite Graphs and Probe Interval Graphs
A tree t-spanner T in a graph G is a spanning tree of G such that the distance between every pair of vertices in T is at most t times their distance in G. The tree t-spanner proble...
Andreas Brandstädt, Feodor F. Dragan, Ho&agra...
92
Voted
ESA
2005
Springer
162views Algorithms» more  ESA 2005»
15 years 3 months ago
Minimal Interval Completions
We study the problem of adding edges to an arbitrary graph so that the resulting graph is an interval graph. Our objective is to add an inclusion minimal set of edges, which means ...
Pinar Heggernes, Karol Suchan, Ioan Todinca, Yngve...
110
Voted
CORR
2011
Springer
143views Education» more  CORR 2011»
14 years 1 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