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Topology of Complexes of Edge Covering Partite Graphs and Hypergraphs

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Abstract

We describe the homotopy types of complexes of partite graphs and hypergraphs with a fixed set of vertices covered by their edges.

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References

  1. E. Babson, A. Björner, S. Linusson, E. Shareshian and V. Welker: The complexes of not i-connected graphs, Topology 38 (1999), 271–299.

    Article  MathSciNet  MATH  Google Scholar 

  2. A. Björner and V. Welker: The homology of "k-equal" manifolds and related partition lattices, Advances in Math. 110 (1995), 277–313.

    Article  MathSciNet  MATH  Google Scholar 

  3. C. Blackburn, K. Lund, S. Schlicker, P. Sigmon and A. Zupan: A missing prime configuration in the Hausdorff metric geometry, J. Geom 92 (2009), 28–59.

    Article  MathSciNet  MATH  Google Scholar 

  4. J. Jonsson: Simplicial Complexes of Graphs, Springer, Lecture Notes in Mathematics, Berlin–Heidelberg, 2008.

    Book  MATH  Google Scholar 

  5. J. Folkman: The homology group of a lattice, J. Math. Mech. 15 (1966), 631–636.

    MathSciNet  MATH  Google Scholar 

  6. A. Hatcher: Algebraic Topology, Cambridge Univ. Press, 2002.

    MATH  Google Scholar 

  7. K. Honigs: Missing edge coverings of bipartite graphs and the geometry of the Hausdorff metric, J. Geom 104 (2013), 107–125.

    Article  MathSciNet  MATH  Google Scholar 

  8. D. Kozlov: Combinatorial algebraic topology, Algorithms and Computation in Mathematics, 21. Springer, Berlin, 2008.

    Book  MATH  Google Scholar 

  9. V. Turchin: Homology of complexes of two-connected graphs, Russian Math. Surveys, 52 (1997), 426–427.

    Article  MathSciNet  MATH  Google Scholar 

  10. V. A. Vassiliev: Complexes of connected graphs, The Gelfand mathematical seminars 1990–1992 (L. Corvin, I. Gelfand, and J. Lepovsky, eds), Birkhäuser, Boston, 1993, 223–235.

    Google Scholar 

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Correspondence to Victor A. Vassiliev.

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Supported by RFBR grant 13-01-00383A

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Vassiliev, V.A. Topology of Complexes of Edge Covering Partite Graphs and Hypergraphs. Combinatorica 38, 1239–1249 (2018). https://doi.org/10.1007/s00493-017-3508-0

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  • DOI: https://doi.org/10.1007/s00493-017-3508-0

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