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» Colorful subgraphs in Kneser-like graphs
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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
GC
2007
Springer
13 years 7 months ago
Rainbows in the Hypercube
Let Qn be a hypercube of dimension n, that is, a graph whose vertices are binary n-tuples and two vertices are adjacent iff the corresponding n-tuples differ in exactly one posit...
Maria Axenovich, Heiko Harborth, Arnfried Kemnitz,...
WG
2007
Springer
14 years 1 months ago
The Complexity of Bottleneck Labeled Graph Problems
Abstract. We present hardness results, approximation heuristics, and exact algorithms for bottleneck labeled optimization problems arising in the context of graph theory. This long...
Refael Hassin, Jérôme Monnot, Danny S...
CORR
2010
Springer
93views Education» more  CORR 2010»
13 years 7 months ago
Injective colorings of graphs with low average degree
Let mad(G) denote the maximum average degree (over all subgraphs) of G and let i(G) denote the injective chromatic number of G. We prove that if 4 and mad(G) < 14 5 , then i(G...
Daniel W. Cranston, Seog-Jin Kim, Gexin Yu
DM
2010
78views more  DM 2010»
13 years 7 months ago
Injective colorings of sparse graphs
Let Mad(G) denote the maximum average degree (over all subgraphs) of G and let i(G) denote the injective chromatic number of G. We prove that if Mad(G) 5 2 , then i(G) + 1; sim...
Daniel W. Cranston, Seog-Jin Kim, Gexin Yu