{ "id": "2011.08169", "version": "v1", "published": "2020-11-16T18:48:51.000Z", "updated": "2020-11-16T18:48:51.000Z", "title": "Colorful Graph Associahedra", "authors": [ "Satyan L. Devadoss", "Mia Smith" ], "comment": "22 pages, 20 figures", "categories": [ "math.CO" ], "abstract": "Given a graph G, the graph associahedron is a simple convex polytope whose face poset is based on the connected subgraphs of G. With the additional assignment of a color palette, we define the colorful graph associahedron, show it to be a collection of simple abstract polytopes, and explore its properties.", "revisions": [ { "version": "v1", "updated": "2020-11-16T18:48:51.000Z" } ], "analyses": { "subjects": [ "52B11", "06A07", "05B30" ], "keywords": [ "colorful graph associahedron", "simple convex polytope", "simple abstract polytopes", "face poset", "additional assignment" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable" } } }