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Maximization coloring problems on graphs with few

✍ Scribed by Campos, Victor; Linhares-Sales, Cláudia; Sampaio, Rudini; Maia, Ana Karolinna


Book ID
122305271
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
433 KB
Volume
164
Category
Article
ISSN
0166-218X

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Coloring graphs with locally few colors
✍ P Erdös; Z Füredi; A Hajnal; P Komjáth; V Rödl; Á Seress 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 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