On Helly numbers of exponential lattices

DOI10.1016/j.ejc.2023.103884arXiv2301.04683MaRDI QIDQ6189691

Gergely Ambrus, Nóra Frankl, Attila Jung, Márton Naszódi, Martin Balko

Publication date: 5 February 2024

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.04683

zbMATH Keywords

Helly numberexponential lattices

Mathematics Subject Classification ID

Helly-type theorems and geometric transversal theory (52A35)

Cites Work

• Unnamed Item
• Unnamed Item
• On \(\pi\)-surfaces of four-dimensional parallelohedra
• Helly numbers of algebraic subsets of \(\mathbb{R}^{d}\) and an extension of Doignon's theorem
• Discrete quantitative Helly-type theorems with boxes
• Tight bounds on discrete quantitative Helly numbers
• Quantitative Tverberg theorems over lattices and other discrete sets
• Convexity in cristallographical lattices
• Maximal $S$-Free Convex Sets and the Helly Number
• Helly’s theorem: New variations and applications
• An observation on the structure of production sets with indivisibilities
• A Theorem Concerning the Integer Lattice
• One-sided Diophantine approximations

This page was built for publication: On Helly numbers of exponential lattices