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» Orthogonal Colorings of Graphs
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JCT
2010
111views more  JCT 2010»
14 years 10 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...
166
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DAM
2011
14 years 6 months ago
On the b-coloring of P4-tidy graphs
A b-coloring of a graph is a coloring such that every color class admits a vertex adjacent to at least one vertex receiving each of the colors not assigned to it. The b-chromatic ...
Clara Inés Betancur Velasquez, Flavia Bonom...
106
Voted
MST
2010
98views more  MST 2010»
14 years 10 months ago
Why Almost All k-Colorable Graphs Are Easy to Color
Coloring a k-colorable graph using k colors (k ≥ 3) is a notoriously hard problem. Considering average case analysis allows for better results. In this work we consider the unif...
Amin Coja-Oghlan, Michael Krivelevich, Dan Vilench...
GD
1998
Springer
15 years 3 months ago
Refinement of Orthogonal Graph Drawings
Current orthogonal graph drawing algorithms produce drawings which are generally good. However, many times the quality of orthogonal drawings can be significantly improved with a ...
Janet M. Six, Konstantinos G. Kakoulis, Ioannis G....
127
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ALGORITHMICA
2002
159views more  ALGORITHMICA 2002»
14 years 11 months ago
Algorithmic Aspects of Acyclic Edge Colorings
A proper coloring of the edges of a graph G is called acyclic if there is no 2-colored cycle in G. The acyclic edge chromatic number of G, denoted by a (G), is the least number of...
Noga Alon, Ayal Zaks