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» On the Strong Chromatic Number
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JCO
2007
130views more  JCO 2007»
15 years 6 months ago
On edge orienting methods for graph coloring
We consider the problem of orienting the edges of a graph so that the length of a longest path in the resulting digraph is minimum. As shown by Gallai, Roy and Vitaver, this edge ...
Bernard Gendron, Alain Hertz, Patrick St-Louis
DM
1998
82views more  DM 1998»
15 years 5 months ago
Signed analogs of bipartite graphs
We characterize the edge-signed graphs in which every 'significant' positive closed walk (or combination of walks) has even length, under seven different criteria for si...
Thomas Zaslavsky
ALGORITHMICA
2010
137views more  ALGORITHMICA 2010»
15 years 4 months ago
Deciding k-Colorability of P5-Free Graphs in Polynomial Time
The problem of computing the chromatic number of a P5-free graph (a graph which contains no path on 5 vertices as an induced subgraph) is known to be NP-hard. However, we show tha...
Chính T. Hoàng, Marcin Kaminski, Vad...
JGT
2010
103views more  JGT 2010»
15 years 4 months ago
Proof of a conjecture on fractional Ramsey numbers
: Jacobson, Levin, and Scheinerman introduced the fractional Ramsey function rf (a1,a2, ...,ak) as an extension of the classical definition for Ramsey numbers. They determined an e...
Jason Brown, Richard Hoshino
IMAGING
2001
15 years 7 months ago
Spherical Sampling and Color Transformations
In this paper, we present a spherical sampling technique that can be employed to find optimal sensors for trichromatic color applications. The advantage over other optimization te...
Graham D. Finlayson, Sabine Süsstrunk