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» The Distinguishing Chromatic Number
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APPROX
2008
Springer
119views Algorithms» more  APPROX 2008»
15 years 1 months ago
The Complexity of Distinguishing Markov Random Fields
Abstract. Markov random fields are often used to model high dimensional distributions in a number of applied areas. A number of recent papers have studied the problem of reconstruc...
Andrej Bogdanov, Elchanan Mossel, Salil P. Vadhan
CORR
2007
Springer
116views Education» more  CORR 2007»
14 years 11 months ago
Frugal Colouring of Graphs
A k-frugal colouring of a graph G is a proper colouring of the vertices of G such that no colour appears more than k times in the neighbourhood of a vertex. This type of colouring...
Omid Amini, Louis Esperet, Jan van den Heuvel
JCO
2007
130views more  JCO 2007»
14 years 11 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»
14 years 10 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»
14 years 9 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...