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» Coloring Subgraphs of the Rado Graph
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ENDM
2007
88views more  ENDM 2007»
13 years 7 months ago
Graph coloring with no large monochromatic components
For a graph G and an integer t we let mcct(G) be the smallest m such that there exists a coloring of the vertices of G by t colors with no monochromatic connected subgraph having ...
Nathan Linial, Jirí Matousek, Or Sheffet, G...
JCO
2010
101views more  JCO 2010»
13 years 5 months ago
Separator-based data reduction for signed graph balancing
Abstract Polynomial-time data reduction is a classical approach to hard graph problems. Typically, particular small subgraphs are replaced by smaller gadgets. We generalize this ap...
Falk Hüffner, Nadja Betzler, Rolf Niedermeier
ENDM
2002
107views more  ENDM 2002»
13 years 7 months ago
Edge-Colorings of Complete Graphs that Avoid Polychromatic Trees
Given a positive integer n and a family F of graphs, let R(n, F) denote the maximum number of colors in an edge-coloring of Kn such that no subgraph of Kn belonging to F has disti...
Tao Jiang, Douglas B. West
FSTTCS
2007
Springer
14 years 1 months ago
"Rent-or-Buy" Scheduling and Cost Coloring Problems
We study several cost coloring problems, where we are given a graph and a cost function on the independent sets and are to find a coloring that minimizes the function costs of the...
Takuro Fukunaga, Magnús M. Halldórss...
ESA
2006
Springer
134views Algorithms» more  ESA 2006»
13 years 11 months ago
Graph Coloring with Rejection
We consider the following vertex coloring problem. We are given an undirected graph G = (V, E), where each vertex v is associated with a penalty rejection cost rv. We need to choos...
Leah Epstein, Asaf Levin, Gerhard J. Woeginger