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Remarks on a conjecture of Nakai

✍ Scribed by Yasunori Ishibashi


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
810 KB
Volume
95
Category
Article
ISSN
0021-8693

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The vertex-critical graph conjecture (critical graph conjecture respectively) states that every vertex-critical (critical) graph has an odd number of vertices. In this note we prove that if G is a critical graph of even order, then G has at least three vertices of less-than-maximum valency. In addit