On the sum of distances along a circle

DOI10.1016/j.disc.2007.04.025zbMath1159.05314OpenAlexW2060647778MaRDI QIDQ952671

Ming-Hui Jiang

Publication date: 12 November 2008

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

Full work available at URL: https://doi.org/10.1016/j.disc.2007.04.025

zbMATH Keywords

combinatorial geometrycomputational geometrycomputational music theoryarc distance

Mathematics Subject Classification ID

Paths and cycles (05C38) Distance in graphs (05C12)

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On the angle sum of lines ⋮ The Stolarsky principle and energy optimization on the sphere ⋮ Distributions of points on non-extensible closed curves in \(\mathbb{R}^3\) realizing maximum energies ⋮ Derivative-free mixed binary necklace optimization for cyclic-symmetry optimal design problems ⋮ NECKLACE SWAP PROBLEM FOR RHYTHMIC SIMILARITY MEASURES ⋮ Spherical distribution of 5 points with maximal distance sum ⋮ Computational geometric aspects of rhythm, melody, and voice-leading

Cites Work

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• Unsolved problems in geometry
• On extremal point disributions in the Euclidean plane
• On the sum of squared distances in the Euclidean plane
• Research Problems in Discrete Geometry
• On the sum of distances determined by a pointset
• Über eine Punktverteilung auf der Kugel
• On the Maximum of the Sum of Squared Distances Under a Diameter Constraint
• The Geometry of Musical Rhythm
• A note on the sum of distances under a diameter constraint

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