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Part of the book series: Graduate Texts in Mathematics ((GTM,volume 54))

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Abstract

The spaces of a system were studied in Chapter II in Chapter III they were interpreted in the context of multigraphs and in Chapter IV in the context of networks. Once again we shall see how a single combinatorial notion transcends the peculiarities of the model which serves as the vehicle for its presentation. The Main Matching Theorem, to be presented and proved in the first section of this chapter, is the keystone for the rest of the chapter. Initially the vehicle for presentation is the bipartite graph. In the subsequent sections, the Main Matching Theorem will give information about many outwardly dissimilar yet nearly equivalent structures.

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© 1977 Springer-Verlag, New York Inc.

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Graver, J.E., Watkins, M.E. (1977). Matchings and Related Structures. In: Combinatorics with Emphasis on the Theory of Graphs. Graduate Texts in Mathematics, vol 54. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9914-1_5

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  • DOI: https://doi.org/10.1007/978-1-4612-9914-1_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-9916-5

  • Online ISBN: 978-1-4612-9914-1

  • eBook Packages: Springer Book Archive

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