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» Coloring Geographical Threshold Graphs
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DM
2008
116views more  DM 2008»
13 years 4 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 3 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 4 days 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 5 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»
13 years 11 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