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A generalization of the Königsberg bridges problem

Published online by Cambridge University Press:  24 October 2008

C. Domb
C. Domb
Affiliation:
Wheatstone Physics Laboratory, King's College, London
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Abstract

A multi-edge graph is said to be a restricted Euler graph when it can be decomposed into cycles of length greater than 2. Necessary and sufficient conditions are obtained in relation to vertex structure for a graph to be restricted Euler.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 82 , Issue 1 , July 1977 , pp. 1 - 4
Copyright
Copyright © Cambridge Philosophical Society 1977

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References

REFERENCES

(1)Domb, C.Finite cluster partition functions for the D-vector model. J. Phya. A, 9 (1976), 983–998.Google Scholar
(2) See e.g. Busacker, R. G. and Saaty, T. L.Finite Graphe and Networks, ch. 3 (McGraw-Hill, 1965).Google Scholar
(3)Sykes, M. F., Essam, J. W., Heap, B. R. and Hiley, B. J.Lattice constant systems and graph theory. J. Math. Phys. 7 (1966), 1557–1572.CrossRefGoogle Scholar