The mean chromatic number of a graph is defined. This is a measure of the expected performance of the greedy vertex-colouring algorithm when each ordering of the vertices is equally likely. In this note, we analyse the asymptotic behaviour of the mean chromatic number for the paths and even cycles,
Chromaticity of the complements of paths and cycles
โ Scribed by Qingyan Du
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 742 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0012-365X
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๐ SIMILAR VOLUMES
The square of a path (cycle) is the graph obtained by joining every pair of vertices of distance two in the path (cycle). Let \(G\) be a graph on \(n\) vertices with minimum degree \(\delta(G)\). Posa conjectured that if \(\delta(G) \geqslant \frac{2}{3} n\), then \(G\) contains the square of a hami
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