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Coverings of Bipartite Graphs

Published online by Cambridge University Press:  20 November 2018

A. L. Dulmage  and
N. S. Mendelsohn
A. L. Dulmage
Affiliation:
University of Manitoba
N. S. Mendelsohn
Affiliation:
University of Manitoba
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For the purpose of analysing bipartite graphs (hereinafter called simply graphs) the concept of an exterior covering is introduced. In terms of this concept it is possible in a natural way to decompose any graph into two parts, an inadmissible part and a core. It is also possible to decompose the core into irreducible parts and thus obtain a canonical reduction of the graph. The concept of irreducibility is very easily and naturally expressed in terms of exterior coverings. The role of the inadmissible edges of a graph is to obstruct certain natural coverings of the graph.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 10 , 1958 , pp. 517 - 534
Copyright
Copyright © Canadian Mathematical Society 1958

References

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