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» The b-chromatic Number of a Graph
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DM
2008
69views more  DM 2008»
15 years 6 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»
15 years 6 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»
15 years 5 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»
15 years 21 days 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»
15 years 5 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