Convex Polytopes from Nested Posets
Combinatorics
2015-06-16 v1 Algebraic Topology
Quantum Algebra
Abstract
Motivated by the graph associahedron KG, a polytope whose face poset is based on connected subgraphs of G, we consider the notion of associativity and tubes on posets. This leads to a new family of simple convex polytopes obtained by iterated truncations. These generalize graph associahedra and nestohedra, even encompassing notions of nestings on CW-complexes. However, these poset associahedra fall in a different category altogether than generalized permutohedra.
Keywords
Cite
@article{arxiv.1306.4208,
title = {Convex Polytopes from Nested Posets},
author = {Satyan L. Devadoss and Stefan Forcey and Stephen Reisdorf and Patrick Showers},
journal= {arXiv preprint arXiv:1306.4208},
year = {2015}
}
Comments
18 pages, 15 figures