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JGT
2008
103views more  JGT 2008»
13 years 10 months ago
Game coloring the Cartesian product of graphs
: This article proves the following result: Let G and G be graphs of orders n and n , respectively. Let G be obtained from G by adding to each vertex a set of n degree 1 neighbors....
Xuding Zhu
TIT
2010
138views Education» more  TIT 2010»
13 years 4 months ago
Functional compression through graph coloring
Motivated by applications to sensor networks and privacy preserving databases, we consider the problem of functional compression. The objective is to separately compress possibly c...
Vishal Doshi, Devavrat Shah, Muriel Médard,...
DM
2008
112views more  DM 2008»
13 years 10 months ago
Coloring the Cartesian sum of graphs
For graphs G and H, let G H denote their Cartesian sum. This paper investigates the chromatic number and the circular chromatic number for GH. It is proved that (G H) max{ c(G)...
Daphne Der-Fen Liu, Xuding Zhu
ISAAC
2005
Springer
127views Algorithms» more  ISAAC 2005»
14 years 3 months ago
On Complexity and Approximability of the Labeled Maximum/Perfect Matching Problems
In this paper, we deal with both the complexity and the approximability of the labeled perfect matching problem in bipartite graphs. Given a simple graph G = (V, E) with n vertices...
Jérôme Monnot
GC
2010
Springer
13 years 8 months ago
The b-Chromatic Number of Cubic Graphs
The b-chromatic number of a graph G is the largest integer k such that G admits a proper k-coloring in which every color class contains at least one vertex adjacent to some vertex...
Marko Jakovac, Sandi Klavzar