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» Local algorithms in (weakly) coloured graphs
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SIROCCO
2007
13 years 7 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...
JSAT
2008
122views more  JSAT 2008»
13 years 5 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
IPL
2000
105views more  IPL 2000»
13 years 5 months ago
Coverings that preserve sense of direction
Sense of direction is a property of labelled networks (i.e., arc-coloured graphs) that allows one to assign coherently local identifiers to other processors on the basis of the ro...
Paolo Boldi, Sebastiano Vigna
APPROX
2004
Springer
179views Algorithms» more  APPROX 2004»
13 years 11 months ago
Maximum Weight Independent Sets and Matchings in Sparse Random Graphs. Exact Results Using the Local Weak Convergence Method
ABSTRACT: Let G(n, c/n) and Gr(n) be an n-node sparse random graph and a sparse random rregular graph, respectively, and let I(n, r) and I(n, c) be the sizes of the largest indepen...
David Gamarnik, Tomasz Nowicki, Grzegorz Swirszcz
PODC
2011
ACM
12 years 8 months ago
Locally checkable proofs
This work studies decision problems from the perspective of nondeterministic distributed algorithms. For a yes-instance there must exist a proof that can be verified with a distri...
Mika Göös, Jukka Suomela