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COCOON
2007
Springer
15 years 3 months ago
Connected Coloring Completion for General Graphs: Algorithms and Complexity
An r-component connected coloring of a graph is a coloring of the vertices so that each color class induces a subgraph having at most r connected components. The concept has been w...
Benny Chor, Michael R. Fellows, Mark A. Ragan, Igo...
DM
1999
83views more  DM 1999»
14 years 9 months ago
A characterization of uniquely vertex colorable graphs using minimal defining sets
A defining set (of vertex coloring) of a graph G is a set of vertices S with an assignment of colors to its elements which has a unique completion to a proper coloring of G. We de...
Hossein Hajiabolhassan, Mojtaba L. Mehrabadi, Ruzb...
DAM
2011
14 years 4 months ago
Minimum sum set coloring of trees and line graphs of trees
In this paper, we study the Minimum Sum Set Coloring (MSSC) problem which consists in assigning a set of x(v) positive integers to each vertex v of a graph so that the intersectio...
Flavia Bonomo, Guillermo Durán, Javier Mare...
SODA
2000
ACM
121views Algorithms» more  SODA 2000»
14 years 10 months ago
Coloring powers of planar graphs
We give nontrivial bounds for the inductiveness or degeneracy of power graphs Gk of a planar graph G. This implies bounds for the chromatic number as well, since the inductiveness ...
Geir Agnarsson, Magnús M. Halldórsso...
JGT
2006
92views more  JGT 2006»
14 years 9 months ago
Characterization of edge-colored complete graphs with properly colored Hamilton paths
An edge-colored graph H is properly colored if no two adjacent edges of H have the same color. In 1997, J. Bang-Jensen and G. Gutin conjectured that an edgecolored complete graph ...
Jinfeng Feng, Hans-Erik Giesen, Yubao Guo, Gregory...