[HTML][HTML] Colorful associahedra and cyclohedra
… colorful associahedron, a colorful polytope variant covering the face-lattice of the ordinary
associahedron… on the colorful associahedron yields the ordinary associahedron. More formally…
associahedron… on the colorful associahedron yields the ordinary associahedron. More formally…
Y-systems and generalized associahedra
S Fomin, A Zelevinsky - Annals of Mathematics, 2003 - JSTOR
… of the Stasheff polytope (also known as associahedron) for an arbitrary root system (D. In
type A, this complex is the face complex of the ordinary associahedron, whereas in type B, our …
type A, this complex is the face complex of the ordinary associahedron, whereas in type B, our …
Colorful graph associahedra
SL Devadoss, M Smith - arXiv preprint arXiv:2011.08169, 2020 - arxiv.org
Given a graph G, the graph associahedron is a simple convex polytope whose face poset is …
of a color palette, we define the colorful graph associahedron, show it to be a collection of …
of a color palette, we define the colorful graph associahedron, show it to be a collection of …
Signed tree associahedra
V Pilaud - arXiv preprint arXiv:1309.5222, 2013 - arxiv.org
… The graph associahedra of certain special families of graphs happen to coincide with well-…
: classical associahedra are path associahedra, cyclohedra are cycle associahedra, and …
: classical associahedra are path associahedra, cyclohedra are cycle associahedra, and …
Coxeter complexes and graph-associahedra
M Carr, SL Devadoss - Topology and its Applications, 2006 - Elsevier
… associahedra, whose face poset is based on the connected subgraphs of Γ . This provides a
natural generalization of the Stasheff associahedron … by graph-associahedra. The geometric …
natural generalization of the Stasheff associahedron … by graph-associahedra. The geometric …
The polyhedral tree complex
M Dougherty - arXiv preprint arXiv:2201.11185, 2022 - arxiv.org
… and the convex polytopes known as associahedra and cyclohedra. Specifically, we describe
… a polyhedral cell complex for which the cells are products of associahedra and cyclohedra. …
… a polyhedral cell complex for which the cells are products of associahedra and cyclohedra. …
Topological Hochschild homology and cohomology of A∞ ring spectra
V Angeltveit - Geometry & Topology, 2008 - msp.org
… A/ directly in terms of associahedra and cyclohedra, following our paper [1]. In this way, the
maps making up the A1 structure on A play a direct role, instead of being hidden away in the …
maps making up the A1 structure on A play a direct role, instead of being hidden away in the …
The Combinatorics of Poset Associahedra
AI Sack - 2024 - escholarship.org
… In this dissertation, we study poset associahedra and the combinatorics … associahedra
and affine poset cyclohedra. Furthermore, we show that the f-vector of a poset associahedron …
and affine poset cyclohedra. Furthermore, we show that the f-vector of a poset associahedron …
Chromatic numbers for facet colouring of some generalized associahedra
D Baralic, JS Ivanovic, Z Petric - arXiv preprint arXiv:2311.05901, 2023 - arxiv.org
… The results obtained in the paper for associahedra, cyclohedra, astrohedra and
permutoassociahedra are the first ones that provide a class of simple polytopes admitting a …
permutoassociahedra are the first ones that provide a class of simple polytopes admitting a …
Root systems and generalized associahedra
… about the combinatorics of cyclohedra, and about their appearance in the study of configuration
spaces can be found in [17]. The geometry of associahedra and cyclohedra is related to …
spaces can be found in [17]. The geometry of associahedra and cyclohedra is related to …