An extension of a theorem of Yao and Yao

DOI10.1007/s00454-014-9568-7zbMath1298.52021arXiv1112.5737OpenAlexW1984506943MaRDI QIDQ2250045

Pablo Soberón, Edgardo Roldán-Pensado

Publication date: 4 July 2014

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

Full work available at URL: https://arxiv.org/abs/1112.5737

zbMATH Keywords

convex partitionmeasure equipartitionYao-Yao theorem

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)

Related Items (1)

A survey of mass partitions

Cites Work

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• On the Yao-Yao partition theorem
• The dimension of almost spherical sections of convex bodies
• Crossing patterns of semi-algebraic sets
• Borsuk-Ulam type theorems for manifolds
• Space Crossing Numbers
• BALANCED CONVEX PARTITIONS OF MEASURES IN ℝ ^d
• Borsuk's theorem through complementary pivoting
• Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler

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