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A family of cubical graphs

Published online by Cambridge University Press:  24 October 2008

W. T. Tutte
W. T. Tutte
Affiliation:
Trinity CollegeCambridge
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Extract

We begin with some definitions.

A cubical graph is a simplicial 1-complex in which each 0-simplex is incident with just three 1-simplexes.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 43 , Issue 4 , October 1947 , pp. 459 - 474
Copyright
Copyright © Cambridge Philosophical Society 1947

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References

* König, Dénes, Theorie der Endlichen und Unendlichen Graphen (Leipzig, 1936), p. 197; Figs. 92a and 92b.Google Scholar

* Dénes König, p. 194, Fig. 91.Google Scholar

† Dénes König, p. 202.Google Scholar

‡ Franklin, P., J. Math. Phys. 14 (1935), 228–31.Google Scholar

½ Ball, W. W. Rouse, Mathematical Recreations (11th ed., New York, 1939), p. 235.Google Scholar

* I.e. consisting of just ½m−½ 1-simplexes of N.Google Scholar