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ICCI
1991
13 years 11 months ago
On the k-Coloring of Intervals
The problem of coloring a set of n intervals (from the real line) with a set of k colors is studied. In such a coloring, two intersecting intervals must receive distinct colors. O...
Martin C. Carlisle, Errol L. Lloyd
ICALP
2011
Springer
12 years 11 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
APPROX
2009
Springer
107views Algorithms» more  APPROX 2009»
14 years 2 months ago
Approximations for Aligned Coloring and Spillage Minimization in Interval and Chordal Graphs
We consider the problem of aligned coloring of interval and chordal graphs. These problems have substantial applications to register allocation in compilers and have recently been ...
Douglas E. Carroll, Adam Meyerson, Brian Tagiku
ISAAC
2005
Springer
120views Algorithms» more  ISAAC 2005»
14 years 1 months ago
Improved Algorithms for Largest Cardinality 2-Interval Pattern Problem
Abstract The 2-Interval Pattern problem is to find the largest constrained pattern in a set of 2-intervals. The constrained pattern is a subset of the given 2-intervals such that ...
Hao Yuan, Linji Yang, Erdong Chen
DIALM
2008
ACM
139views Algorithms» more  DIALM 2008»
13 years 9 months ago
Approximating maximum integral flows in wireless sensor networks via weighted-degree constrained k-flows
We consider the Maximum Integral Flow with Energy Constraints problem: given a directed graph G = (V, E) with edge-weights {w(e) : e E} and node battery capacities {b(v) : v V }...
Zeev Nutov