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» Conditional colorings of graphs
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STOC
2007
ACM
110views Algorithms» more  STOC 2007»
14 years 8 months ago
Randomly coloring planar graphs with fewer colors than the maximum degree
Thomas P. Hayes, Juan Carlos Vera, Eric Vigoda
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 3 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 8 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
SPAA
2003
ACM
14 years 1 months ago
Short length menger's theorem and reliable optical routing
In the minimum path coloring problem, we are given a graph and a set of pairs of vertices of the graph and we are asked to connect the pairs by colored paths in such a way that pa...
Amitabha Bagchi, Amitabh Chaudhary, Petr Kolman