✦ LIBER ✦

On an extension of the Grinberg theorem

✍ Scribed by Y Shimamoto

Book ID: 107884080
Publisher: Elsevier Science
Year: 1978
Tongue: English
Weight: 701 KB
Volume: 24
Category: Article
ISSN: 0095-8956
DOI: 10.1016/0095-8956(78)90018-7

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Let G = (V (G), E(G)) be a simple graph of maximum degree ∆ ≤ D such that the graph induced by vertices of degree D is either a null graph or is empty. We give an upper bound on the number of colours needed to colour a subset S of V (G) ∪ E(G) such that no adjacent or incident elements of S receive