Generalizations of the Permutohedron

L. Santocanale and F. Wehrung
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L. Santocanale: Aix-Marseille Université, Laboratoire d’Informatique Fondamentale
F. Wehrung: Department of Mathematics, University of Caen

Chapter Chapter 8 in Lattice Theory: Special Topics and Applications, 2016, pp 287-397 from Springer

Abstract: Abstract We can find in the literature many proposals for generalizations of permutohedra. Among those, let us mention the permutohedron on a poset (Pouzet et al. [356]), multinomial lattices (also called lattices of multipermutations, see Bennett and Birkhoff [55], Flath [154], Santocanale [393]), lattices of generalized permutations (Gross [210], Krob et al. [288], Boulier et al. [82]).

Keywords: Closure Operator; Closure Space; Subdirect Product; Clopen Subset; Block Graph (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-44236-5_8

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