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Matchings in Countable Graphs

Published online by Cambridge University Press:  20 November 2018

K. Steffens
K. Steffens*
Affiliation:
Technische Universität Hannover, Hannover, West Germany
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Abstract

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Tutte [9] has given necessary and sufficient conditions for a finite graph to have a perfect matching. Different proofs are given by Brualdi [1] and Gallai [2; 3]. The shortest proof of Tutte's theorem is due to Lovasz [5]. In another paper [10] Tutte extended his conditions for a perfect matching to locally finite graphs. In [4] Kaluza gave a condition on arbitrary graphs which is entirely different from Tutte's.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 1 , 01 February 1977 , pp. 165 - 168
Copyright
Copyright © Canadian Mathematical Society 1977

References

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