Pseudograph associahedra

Details Pseudograph associahedra Pseudograph associahedra

2010-05-14

arxiv.org/abs/1005.2551v1

Journal of Combinatorial Theory, Series A 118 (2011) 2035-2055

Mathematics

Combinatorics

25 pages, 22 figures

Scientific paper

Given a simple graph G, the graph associahedron KG is a simple polytope whose face poset is based on the connected subgraphs of G. This paper defines and constructs graph associahedra in a general context, for pseudographs with loops and multiple edges, which are also allowed to be disconnected. We then consider deformations of pseudograph associahedra as their underlying graphs are altered by edge contractions and edge deletions.

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