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A New Proof of a Theorem of Dirac

Published online by Cambridge University Press:  20 November 2018

William G. Brown
William G. Brown*
Affiliation:
University of British Columbia
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In [1] Dirac has determined the structure of all 3-connected graphs which do not contain two independent (i.e., disjoint) circuits. We shall here provide a short proof of this theorem by applying Tutte' s theory of 3-connected graphs [2].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 8 , Issue 4 , June 1965 , pp. 459 - 463
Copyright
Copyright © Canadian Mathematical Society 1965

References

1. Dirac, G. A., Some results concerning the structure of graphs, Canad. Math. Bull. 6 (1963) 183-210.Google Scholar
2. Tutte, W. T., A theory of 3-connected graphs, Proc. Koninkl. Akad. Wetenschappen A 64 (1961) 441-455.Google Scholar