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DAM
2011
14 years 4 months ago
Minimum sum set coloring of trees and line graphs of trees
In this paper, we study the Minimum Sum Set Coloring (MSSC) problem which consists in assigning a set of x(v) positive integers to each vertex v of a graph so that the intersectio...
Flavia Bonomo, Guillermo Durán, Javier Mare...
DAC
1999
ACM
15 years 10 months ago
Graph Coloring Algorithms for Fast Evaluation of Curtis Decompositions
Finding the minimum column multiplicity for a bound set of variables is an important problem in Curtis decomposition. To investigate this problem, we compared two graphcoloring pr...
Marek A. Perkowski, Rahul Malvi, Stan Grygiel, Mic...
ICALP
2007
Springer
15 years 1 months ago
Distributed Computing with Advice: Information Sensitivity of Graph Coloring
Abstract. We study the problem of the amount of information (advice) about a graph that must be given to its nodes in order to achieve fast distributed computations. The required s...
Pierre Fraigniaud, Cyril Gavoille, David Ilcinkas,...
FOCS
2002
IEEE
15 years 2 months ago
A Lower Bound for Testing 3-Colorability in Bounded-Degree Graphs
We consider the problem of testing 3-colorability in the bounded-degree model. We show that, for small enough ε, every tester for 3colorability must have query complexity Ω(n)....
Andrej Bogdanov, Kenji Obata, Luca Trevisan
CAAN
2006
Springer
15 years 1 months ago
Scheduling of a Smart Antenna: Capacitated Coloring of Unit Circular-Arc Graphs
We consider scheduling problems that are motivated by an optimization of the transmission schedule of a smart antenna. In these problems we are given a set of messages and a confl...
Guy Even, Shimon Shahar