Pith. sign in

REVIEW 2 cited by

Coxeter Complexes and Graph-Associahedra

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv math/0407229 v2 pith:ERZIMEU5 submitted 2004-07-13 math.QA math.AGmath.CO

Michael Carr , Satyan L. Devadoss This is my paper · ORCID
classification math.QAmath.AGmath.CO
keywords coxetercomplexgivengraph-associahedranaturalassociahedronassociatedblow-ups
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

Given a graph G, we construct a simple, convex polytope whose face poset is based on the connected subgraphs of G. This provides a natural generalization of the Stasheff associahedron and the Bott-Taubes cyclohedron. Moreover, we show that for any simplicial Coxeter system, the minimal blow-ups of its associated Coxeter complex has a tiling by graph-associahedra. The geometric and combinatorial properties of the complex as well as of the polyhedra are given. These spaces are natural generalizations of the Deligne-Knudsen-Mumford compactification of the real moduli space of curves.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A Boolean-Lattice Perspective for All-Loop Two-Site Cosmological Wavefunction

    hep-th 2026-05 unverdicted novelty 5.0 of 10

    The all-loop two-site cosmological wavefunction coefficient admits an equivalent maximal-chain expansion on the Boolean lattice that unifies the shifted-tree decomposition and the tubing construction via finite-differ...

  2. The algebraic structure of Dyson--Schwinger equations with multiple insertion places

    math.CO 2025-01 conditional novelty 5.0 of 10

    Provides tubing-expansion solutions to Dyson-Schwinger equations with multiple insertion places, and proves one conjecture of Nabergall while disproving another.

Pith tools