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» Coloring Geographical Threshold Graphs
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DM
2008
116views more  DM 2008»
13 years 7 months ago
Breaking the rhythm on graphs
We study graph colorings avoiding periodic sequences with large number of blocks on paths. The main problem is to decide, for a given class of graphs F, if there are absolute const...
Noga Alon, Jaroslaw Grytczuk
JCT
2010
111views more  JCT 2010»
13 years 5 months ago
Anti-Ramsey properties of random graphs
We call a coloring of the edge set of a graph G a b-bounded coloring if no color is used more than b times. We say that a subset of the edges of G is rainbow if each edge is of a ...
Tom Bohman, Alan M. Frieze, Oleg Pikhurko, Cliffor...
IJAMCIGI
2010
94views more  IJAMCIGI 2010»
13 years 2 months ago
A Study of Tabu Search for Coloring Random 3-Colorable Graphs Around the Phase Transition
We present an experimental investigation of tabu search (TS) to solve the 3-coloring problem (3-COL). Computational results reveal that a basic TS algorithm is able to find proper ...
Jean-Philippe Hamiez, Jin-Kao Hao, Fred W. Glover
APPROX
2011
Springer
242views Algorithms» more  APPROX 2011»
12 years 7 months ago
New Tools for Graph Coloring
How to color 3 colorable graphs with few colors is a problem of longstanding interest. The best polynomial-time algorithm uses n0.2072 colors. There are no indications that colori...
Sanjeev Arora, Rong Ge
ESA
2007
Springer
113views Algorithms» more  ESA 2007»
14 years 1 months ago
Distance Coloring
Given a graph G = (V, E), a (d, k)-coloring is a function from the vertices V to colors {1, 2, . . . , k} such that any two vertices within distance d of each other are assigned di...
Alexa Sharp