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Minkowsky's conjecture on the critical determinant

✍ Scribed by N. M. Glazunov; A. V. Malyshev


Publisher
Springer US
Year
1986
Tongue
English
Weight
637 KB
Volume
21
Category
Article
ISSN
1573-8337

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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