Integral point sets over \(\mathbb Z_n^m\)

DOI10.1016/j.dam.2007.10.019zbMath1173.05316OpenAlexW2102969577MaRDI QIDQ1026112

Sascha Kurz, Axel Kohnert

Publication date: 24 June 2009

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2007.10.019

zbMATH Keywords

finite ringsexhaustive searchorderly generationintegral distances

Mathematics Subject Classification ID

Graph theory (including graph drawing) in computer science (68R10) Distance in graphs (05C12) Graph algorithms (graph-theoretic aspects) (05C85)

Related Items (2)

Maximal integral point sets over ℤ² ⋮ Integral point sets in higher dimensional affine spaces over finite fields

Uses Software

• Cliquer
• Algorithm 457

Cites Work

• There are integral heptagons, no three points on a line, no four on a circle
• Constructing two-weight codes with prescribed groups of automorphisms
• Large caps
• Note on integral distances
• A fast algorithm for the maximum clique problem
• An upper bound for the minimum diameter of integral point sets
• Antwort auf eine Frage von P. Erdős nach fünf Punkten mit ganzzahligen Abständen. (Answer to a question of P. Erdős for five points with integer distances)
• On the minimum diameter of plane integral point sets
• Research Problems in Discrete Geometry
• Integral point sets over finite fields
• The Geometry of Two-Weight Codes
• n-clusters for 1 < n < 7
• Every one a Winner or how to Avoid Isomorphism Search when Cataloguing Combinatorial Configurations
• Bounds on affine caps
• Bounds for the minimum diameter of integral point sets
• Algorithm 457: finding all cliques of an undirected graph
• Integral distances
• Integral distances
• Unsolved problems in number theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Integral point sets over \(\mathbb Z_n^m\)