Cliques in minimally globally rigid graphs

Fuente: arXiv
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Main Author: Portier, Julien
Format: Preprint
Published: 2026
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author Portier, Julien
author_facet Portier, Julien
contents We show that every minimally generically globally rigid graph in $\mathbb R^d$ which contains a subgraph isomorphic to $K_{d+2}$ is itself isomorphic to $K_{d+2}$, confirming a conjecture by Garamv{ö}lgyi, Jackson, and Jord{á}n. The proof is entirely generated by ChatGPT 5.5.
format Preprint
id arxiv_https___arxiv_org_abs_2604_27989
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Cliques in minimally globally rigid graphs
Portier, Julien
Combinatorics
We show that every minimally generically globally rigid graph in $\mathbb R^d$ which contains a subgraph isomorphic to $K_{d+2}$ is itself isomorphic to $K_{d+2}$, confirming a conjecture by Garamv{ö}lgyi, Jackson, and Jord{á}n. The proof is entirely generated by ChatGPT 5.5.
title Cliques in minimally globally rigid graphs
topic Combinatorics
url https://arxiv.org/abs/2604.27989