Combinatorial 2-truncated cubes and applications

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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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Buchstaber, V. M., & Volodin, V. D. (2012). Combinatorial 2-truncated cubes and applications. In Associahedra, Tamari Lattices and Related Structures: Tamari Memorial Festschrift (pp. 161–186). Springer Basel. https://doi.org/10.1007/978-3-0348-0405-9_9

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