Alex Postnikov

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The aim of the paper is to calculate face numbers of simple generalized permutohedra, and study their f-, hand γ-vectors. These polytopes include permutohedra, associahedra, graph-associahedra, simple graphic zonotopes, nestohedra, and other interesting polytopes. We give several explicit formulas for h-vectors and γ-vectors involving descent statistics.(More)
Adinkras are graphical tools created to study representations of supersymmetry algebras. Besides having inherent interest for physicists, the study of adinkras has already shown nontrivial connections with coding theory and Clifford algebras. Furthermore , adinkras offer many easy-to-state and accessible mathematical problems of algebraic, combinatorial,(More)
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