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On the connection between chromatic number, maximal clique and minimal degree of a graph

Andrásfai, B. and Erdős, Pál and T. Sós, Vera (1974) On the connection between chromatic number, maximal clique and minimal degree of a graph. DISCRETE MATHEMATICS, 8 (3). pp. 205-218. ISSN 0012-365X

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Abstract

Let Gn be a graph of n vertices, having chromatic number r which contains no complete graph of r vertices. Then Gn contains a vertex of degree not exceeding n(3r-7)/(3r-4). The result is essentially best possible. © 1974.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Q Science / természettudomány > QA Mathematics / matematika > QA166-QA166.245 Graphs theory / gráfelmélet
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 25 Jun 2020 16:55
Last Modified: 31 Mar 2023 06:57
URI: http://real.mtak.hu/id/eprint/110445

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