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Restricted coloring problems on graphs with few

✍ Scribed by V. Campos; C. Linhares Sales; K. Maia; N. Martins; R. Sampaio


Book ID
108120801
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
169 KB
Volume
37
Category
Article
ISSN
1571-0653

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Coloring graphs with locally few colors
✍ P ErdΓΆs; Z FΓΌredi; A Hajnal; P KomjΓ‘th; V RΓΆdl; Á Seress πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 832 KB

Let G be a graph, m > r t> 1 integers. Suppose that it has a good-coloring with m colors which uses at most r colors in the neighborhood of every vertex. We investigate these so-called local r-colorings. One of our results (Theorem 2.4) states: The chromatic number of G, Chr(G) ~< r2" log21og2 m (an