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Associahedra, Tamari Lattices and Related Structures pp 161–186Cite as

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Combinatorial 2-truncated Cubes and Applications

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Part of the book series: Progress in Mathematics ((PM,volume 299))

Abstract

We study a class of simple polytopes, called 2-truncated cubes. These polytopes have remarkable properties and, in particular, satisfy Gal’s conjecture. Well-known polytopes (flag nestohedra, graph-associahedra and graph-cubeahedra) are 2-truncated cubes.

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Authors and Affiliations

  1. Steklov Mathematics Institute, Russian Academy of Sciences, Moscow, Russia

    Victor M. Buchstaber & Vadim D. Volodin

Authors
  1. Victor M. Buchstaber
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  2. Vadim D. Volodin
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Corresponding author

Correspondence to Victor M. Buchstaber .

Editor information

Editors and Affiliations

  1. for Dynamics and Self-Organization, Max-Planck-Institute, Bunsenstrasse 10, Göttingen, 37073, Germany

    Folkert Müller-Hoissen

  2. , Département d'Informatique, LE2I, Université de Bourgogne, B.P. 47870, Dijon Cedex, 21078, France

    Jean Marcel Pallo

  3. , Department of Mathematics, University of North Carolina at Chapel H, CB #3250, Phillips Hall, Chapel Hill, 27599, North Carolina, USA

    Jim Stasheff

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Buchstaber, V.M., Volodin, V.D. (2012). Combinatorial 2-truncated Cubes and Applications. In: Müller-Hoissen, F., Pallo, J., Stasheff, J. (eds) Associahedra, Tamari Lattices and Related Structures. Progress in Mathematics, vol 299. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0405-9_9

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