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Spanning triangulations in graphs

✍ Scribed by Daniela Kühn; Deryk Osthus

Publisher: John Wiley and Sons
Year: 2005
Tongue: English
Weight: 467 KB
Volume: 49
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.20076

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✦ Synopsis

Abstract

We prove that every graph of sufficiently large order n and minimum degree at least 2__n__/3 contains a triangulation as a spanning subgraph. This is best possible: for all integers n, there are graphs of order n and minimum degree ⌈2__n__/3⌉ − 1 without a spanning triangulation. © 2005 Wiley Periodicals, Inc. J Graph Theory

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