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Isomorphism Problems for Hypergraphs

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Combinatorics

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 16))

Abstract

A hypergraph H = (X, E) = (E1,E2,…,Em) = (Ei: i ∈ M) is a family E of subsets Ei of a set X = {xj: j ∈ N} of vertices. The sets Ei are called edges.

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References

  1. Berge, C.. Graphs and hypergraphs, North Holland Publ. Coy., Amsterdam, 1973.

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  2. Berge, C. & R. Rado, On isomorphic hypergraphs, and some extensions of Whitney’s theorem to families of sets, J. Combinatorial Theory B, 13 (1972) 226–241.

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  3. Dauber, E., in: Harary, F., Graph theory, Addison-Wesley, Reading, Mass., 1969, p. 172.

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  4. Lovász, L., A note on the line reconstruction problem, J. Combinatorial Theory B, 13 (1972) 309–310.

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  5. Lovász, L., Private communication.

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  6. Whitney, H., Congruent graphs and the connectivity of graphs, Amer. J. Math., 54 (1932) 160–168.

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M. Hall Jr. J. H. van Lint

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© 1975 Mathematical Centre, Amsterdam

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Berge, C. (1975). Isomorphism Problems for Hypergraphs. In: Hall, M., van Lint, J.H. (eds) Combinatorics. NATO Advanced Study Institutes Series, vol 16. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1826-5_10

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  • DOI: https://doi.org/10.1007/978-94-010-1826-5_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-1828-9

  • Online ISBN: 978-94-010-1826-5

  • eBook Packages: Springer Book Archive

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