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» Conditional colorings of graphs
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ESA
2006
Springer
137views Algorithms» more  ESA 2006»
14 years 5 days ago
Deciding Relaxed Two-Colorability - A Hardness Jump
A coloring is proper if each color class induces connected components of order one (where the order of a graph is its number of vertices). Here we study relaxations of proper two-c...
Robert Berke, Tibor Szabó
CC
2006
Springer
133views System Software» more  CC 2006»
13 years 8 months ago
The complexity of chromatic strength and chromatic edge strength
The sum of a coloring is the sum of the colors assigned to the vertices (assuming that the colors are positive integers). The sum (G) of graph G is the smallest sum that can be ach...
Dániel Marx
AI
2008
Springer
13 years 8 months ago
Conditional independence and chain event graphs
Graphs provide an excellent framework for interrogating symmetric models of measurement random variables and discovering their implied conditional independence structure. However,...
Jim Q. Smith, Paul E. Anderson
PPAM
2007
Springer
14 years 2 months ago
Parallel Simulated Annealing Algorithm for Graph Coloring Problem
Abstract. The paper describes an application of Parallel Simulated Annealing (PSA) for solving one of the most studied NP-hard optimization problems: Graph Coloring Problem (GCP). ...
Szymon Lukasik, Zbigniew Kokosinski, Grzegorz Swie...
ICALP
2011
Springer
12 years 12 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli