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Some remarks on a paper by Vizing on critical graphs

Published online by Cambridge University Press:  24 October 2008

Stanley Fiorini
Affiliation:
The Open University, Milton Keynes, Bucks, England

Abstract

In papers (7, 8), Vizing studied graphs which are critical with respect to edge colourings. In particular, he obtained bounds on the number of edges and on the circuit length of such graphs in terms of its maximum valency. The object of this paper is to improve these bounds by obtaining others which also take into account the order of the graph.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

REFERENCES

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