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A Short Proof of the Factor Theorem for Finite Graphs

Published online by Cambridge University Press:  20 November 2018

W. T. Tutte*
Affiliation:
University of Toronto
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We define a graph as a set V of objects called vertices together with a set E of objects called edges, the two sets having no common element. With each edge there are associated just two vertices, called its ends. We say that an edge joins its ends. Two vertices may be joined by more than one edge.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1954

References

1. Belck, H. B., Reguläre Faktoren von Graphen, J. Reine Angew. Math., 188 (1950), 228–252.Google Scholar
2. König., D. Theorie der endlichen und unendlichen Graphen (Leipzig, 1936).Google Scholar
3. Maunsell, F. G., A note on Tutte's paper “The factorization of linear graphs, ”1 J. London Math. Soc, 27 (1952), 127–128.Google Scholar
4. Tutte, W. T., The factorization of linear graphs, J. London Math. Soc, 22 (1947), 107–111.Google Scholar
5. Tutte, W. T., The factors of graphs, Can. J. Math., 4 (1952), 314–328.CrossRefGoogle Scholar
6. Whitney, Hassler, Non-separable and planar graphs, Trans. Amer. Math. Soc, 34 (1932), 339–362.CrossRefGoogle Scholar
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