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A Property of 4-Chromatic Graphs and some Remarks on Critical Graphs

✍ Scribed by Dirac, G. A. (author)

Book ID: 120099279
Publisher: Oxford University Press
Year: 1952
Tongue: English
Weight: 265 KB
Volume: s1-27
Category: Article
ISSN: 0024-6107
DOI: 10.1112/jlms/s1-27.1.85

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## Abstract We prove that if __K__ is an undirected, simple, connected graph of even order which is of class one, regular of degree __p__ ≥ 2 and such that the subgraph induced by any three vertices is either connected or null, then any graph __G__ obtained from __K__ by splitting any vertex is __p