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OverviewGeneralized permutahedra are polytopes that arise in combinatorics, algebraic geometry, representation theory, topology, and optimization. They possess a rich combinatorial structure. Out of this structure we build a Hopf monoid in the category of species. Species provide a unifying framework for organizing families of combinatorial objects. Many species carry a Hopf monoid structure and are related to generalized permutahedra by means of morphisms of Hopf monoids. This includes the species of graphs, matroids, posets, set partitions, linear graphs, hypergraphs, simplicial complexes, and building sets, among others. We employ this algebraic structure to define and study polynomial invariants of the various combinatorial structures. Full Product DetailsAuthor: Marcelo Aguiar , Federico ArdilaPublisher: American Mathematical Society Imprint: American Mathematical Society ISBN: 9781470467081ISBN 10: 1470467089 Pages: 119 Publication Date: 30 September 2023 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsReviewsAuthor InformationMarcelo Aguiar, Cornell University, Ithaca, New York. Federico Ardila, San Francisco State University, California, and Universidad de Los Andes, Bogota, Colombia. Tab Content 6Author Website:Countries AvailableAll regions |
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