Optimal packings of congruent circles on a square flat torus

DOI10.1007/s00454-015-9742-6zbMath1348.52014arXiv1212.0649OpenAlexW1549941466WikidataQ114229317 ScholiaQ114229317MaRDI QIDQ5964218

Anton V. Nikitenko, Oleg R. Musin

Publication date: 29 February 2016

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0649

zbMATH Keywords

circle packingflat toruscontact graphgraph enumeration

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Combinatorial aspects of packing and covering (05B40) Circle packings and discrete conformal geometry (52C26)

Related Items

Unnamed Item ⋮ Packings of equal disks in a square torus ⋮ Optimal packings of 2,3, and 4 equal balls into a cubical flat 3-torus ⋮ The isostatic conjecture ⋮ Extremal problems of circle packings on a sphere and irreducible contact graphs ⋮ Towards a proof of the 24-cell conjecture ⋮ Optimal packings of two to four equal circles on any flat torus

Uses Software

• plantri
• Surftri

Cites Work

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