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The theorems of König and Menger

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Part of the book series: Algorithms and Combinatorics ((AC,volume 6))

Abstract

Many of our graphs in the previous chapters had the property that their point set V(G) decomposed into two disjoint sets X 1 and X 2 and every edge connected one point of X 1 to one of X 2. Such graphs are called bipartite graphs with bipartition X 1, X 2. A simple bipartite graph with bipartition X 1, X 2 where |X 1| = k, |X 2| = ℓ is called a complete bipartite graph and is denoted by K k,ℓ if every point of X 1 is adjacent to every point of X 2. For example, K 3,3 is the second Kuratowski graph.

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© 1989 Springer-Verlag Berlin Heidelberg

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Recski, A. (1989). The theorems of König and Menger. In: Matroid Theory and its Applications in Electric Network Theory and in Statics. Algorithms and Combinatorics, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-22143-3_5

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  • DOI: https://doi.org/10.1007/978-3-662-22143-3_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-22145-7

  • Online ISBN: 978-3-662-22143-3

  • eBook Packages: Springer Book Archive

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