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» Frugal Colouring of Graphs
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EJC
2008
13 years 9 months ago
Dyck paths with coloured ascents
We introduce a notion of Dyck paths with coloured ascents. For several ways of colouring, when the set of colours is itself some class of lattice paths, we establish bijections be...
Andrei Asinowski, Toufik Mansour
CPC
2007
95views more  CPC 2007»
13 years 9 months ago
Colouring Random Regular Graphs
In a previous paper we showed that a random 4-regular graph asymptotically almost surely (a.a.s.) has chromatic number 3. Here we extend the method to show that a random 6-regular...
Lingsheng Shi, Nicholas C. Wormald
JCT
2006
73views more  JCT 2006»
13 years 9 months ago
Colouring lines in projective space
Let V be a vector space of dimension v over a field of order q. The q-Kneser graph has the kdimensional subspaces of V as its vertices, where two subspaces and are adjacent if and...
Ameera Chowdhury, Chris D. Godsil, Gordon F. Royle
JSAT
2008
122views more  JSAT 2008»
13 years 9 months ago
SAT Algorithms for Colouring Some Special Classes of Graphs: Some Theoretical and Experimental Results
The local search algorithm GSAT is based on the notion of Satisfiability. It has been used successfully for colouring graphs, solving instances of the 3SAT problem, planning block...
Sriyankar Acharyya
SIROCCO
2007
13 years 10 months ago
Local Edge Colouring of Yao-Like Subgraphs of Unit Disk Graphs
The focus of the present paper is on providing a local deterministic algorithm for colouring the edges of Yao-like subgraphs of Unit Disc Graphs. These are geometric graphs such t...
Jurek Czyzowicz, Stefan Dobrev, Evangelos Kranakis...