Edge-colouring of joins of regular graphs, I
β Scribed by Caterina De Simone; Anna Galluccio
- Publisher
- Springer US
- Year
- 2009
- Tongue
- English
- Weight
- 403 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1382-6905
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The following EREW PRAM algorithms for edge-colouring a general graph are presented: 1. 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
The chromatic index problem-ΓΏnding the minimum number of colours required for colouring the edges of a graph-is still unsolved for indi erence graphs, whose vertices can be linearly ordered so that the vertices contained in the same maximal clique are consecutive in this order. We present new positi
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