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ALGORITHMICA
2002
159views more  ALGORITHMICA 2002»
13 years 7 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
JGT
2010
89views more  JGT 2010»
13 years 6 months ago
Non-rainbow colorings of 3-, 4- and 5-connected plane graphs
We study vertex-colorings of plane graphs that do not contain a rainbow face, i.e., a face with vertices of mutually distinct colors. If G is a 3-connected plane graph with n vert...
Zdenek Dvorak, Daniel Král', Riste Skrekovs...
WALCOM
2010
IEEE
255views Algorithms» more  WALCOM 2010»
14 years 2 months ago
Harmonious Coloring on Subclasses of Colinear Graphs
Given a simple graph G, a harmonious coloring of G is a proper vertex coloring such that each pair of colors appears together on at most one edge. The harmonious chromatic number i...
Kyriaki Ioannidou, Stavros D. Nikolopoulos
IJCM
2002
83views more  IJCM 2002»
13 years 7 months ago
A Radio Coloring of a Hypercube
A radio coloring of a graph G is an assignment of nonnegative integers to its nodes so that each pair of adjacent nodes have color numbers that differ by at least two, and any pai...
Ophir Frieder, Frank Harary, Peng-Jun Wan
COCOON
2007
Springer
14 years 1 months ago
Colored Simultaneous Geometric Embeddings
We introduce the concept of colored simultaneous geometric embeddings as a generalization of simultaneous graph embeddings with and without mapping. We show that there exists a uni...
Ulrik Brandes, Cesim Erten, J. Joseph Fowler, Fabr...