Fast parallel edge colouring of graphs
β Scribed by G. Sajith; S. Saxena
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 241 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0743-7315
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β¦ Synopsis
The following EREW PRAM algorithms for edge-colouring a general graph are presented:
- an algorithm that finds a Γ°D ΓΎ dΓ-edge-colouring, 1pdoD; in Oððlog d ΓΎ Γ°D=dΓ 4 Γ log 2 nΓ time, using n ΓΎ m processors; 2. an algorithm that finds a D 1ΓΎe -edge-colouring, 0oeo1; in OΓ°log D log Γ nΓ time, using nD 1ΓΎe processors.
π SIMILAR VOLUMES
In this note we summarize some of the progress made recently by the author, A.G. Chetwynd and P.D. Johnson about edge-eolourings of graphs with relatively large maximum degree. In this note, multigraphs will have no loops. For a multigraph G, the least number of colours needed to colour the edges o
We describe a simple characterization of graphs which are simultaneouly split and mdiffcrcncc graphs. In the sequel, WE present a method for optimally edge colouring a complete graph M ith an c\en number > 6 of vertices, leading to a simple construction for exhibiting a perfect matching of it. in wh