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Abstract

Directed and undirected graphs. A graph G= [X, U,f] is a combination of two sets of elementary figures, the set X of nodes x and the set U of edges u, and a function f defined on U, the incidence function. This assigns to each directed edge uU exactly one ordered pair of nodes xixkX and to an undirected edge one unordered pair (Fig.).

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Authors

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W. Gellert S. Gottwald M. Hellwich H. Kästner H. Küstner

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© 1975 VEB Bibliographisches Institut Leipzig

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Gellert, W., Gottwald, S., Hellwich, M., Kästner, H., Küstner, H. (1975). Graph theory. In: Gellert, W., Gottwald, S., Hellwich, M., Kästner, H., Küstner, H. (eds) The VNR Concise Encyclopedia of Mathematics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-6982-0_37

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  • DOI: https://doi.org/10.1007/978-94-011-6982-0_37

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-011-6984-4

  • Online ISBN: 978-94-011-6982-0

  • eBook Packages: Springer Book Archive

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