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» The b-chromatic Number of a Graph
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DM
2008
69views more  DM 2008»
13 years 10 months ago
Connectedness of the graph of vertex-colourings
For a positive integer k and a graph G, the k-colour graph of G, Ck(G), is the graph that has the proper k-vertex-colourings of G as its vertex set, and two k-colourings are joine...
Luis Cereceda, Jan van den Heuvel, Matthew Johnson
COMBINATORICS
2006
183views more  COMBINATORICS 2006»
13 years 10 months ago
On Oriented Arc-Coloring of Subcubic Graphs
A homomorphism from an oriented graph G to an oriented graph H is a mapping from the set of vertices of G to the set of vertices of H such that -----(u)(v) is an arc in H whenever...
Alexandre Pinlou
CORR
2007
Springer
69views Education» more  CORR 2007»
13 years 10 months ago
Lossless Representation of Graphs using Distributions
We consider complete graphs with edge weights and/or node weights taking values in some set. In the first part of this paper, we show that a large number of graphs are completely...
Mireille Boutin, Gregor Kemper
JSYML
2010
95views more  JSYML 2010»
13 years 4 months ago
Some natural decision problems in automatic graphs
For automatic and recursive graphs, we investigate the following problems: (A) existence of a Hamiltonian path and existence of an infinite path in a tree (B) existence of an Euler...
Dietrich Kuske, Markus Lohrey
DM
2000
82views more  DM 2000»
13 years 9 months ago
On special numberings of hypergraphs
Generalizing a result of Bodendiek and Burosch on graphs it is proved that every vertex-simple
Günter Schaar