Equipartition of mass distributions by hyperplanes
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Publication:1911766
DOI10.1007/BF02717729zbMath0843.68120MaRDI QIDQ1911766
Publication date: 24 April 1996
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Related Items (31)
Equipartitions and Mahler volumes of symmetric convex bodies ⋮ Hyperplane equipartitions plus constraints ⋮ Measure partitions using hyperplanes with fixed directions ⋮ Topology and combinatorics of partitions of masses by hyperplanes ⋮ A survey of mass partitions ⋮ Mass partitions via equivariant sections of Stiefel bundles ⋮ Topology of the Grünbaum–Hadwiger–Ramos hyperplane mass partition problem ⋮ Obstacles for splitting multidimensional necklaces ⋮ Topology of the Grünbaum-Hadwiger-Ramos problem for mass assignments ⋮ Coupled embeddability ⋮ Measure equipartitions via finite Fourier analysis ⋮ Borsuk-Ulam theorems for products of spheres and Stiefel manifolds revisited ⋮ Using Brouwer’s Fixed Point Theorem ⋮ Fair Division and Generalizations of Sperner- and KKM-type Results ⋮ Few cuts meet many point sets ⋮ Ham-sandwich cuts and center transversals in subspaces ⋮ Measure partitions via Fourier analysis. II: Center transversality in the \({{L}^{2}}\)-norm for complex hyperplanes ⋮ Spaces of embeddings: Nonsingular bilinear maps, chirality, and their generalizations ⋮ Weak \(\varepsilon \)-nets have basis of size \(O(1/\varepsilon\log (1/\varepsilon))\) in any dimension ⋮ Equipartitions of measures in $\mathbb{R}^4$ ⋮ Uneven splitting of ham sandwiches ⋮ The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes ⋮ Simultaneous partitions of measures by \(k\)-fans ⋮ Conical equipartitions of mass distributions ⋮ Reprint of: Weak \(\varepsilon\)-nets have basis of size \(O(1/{\epsilon}\log (1/\epsilon))\) in any dimension ⋮ Computational topology of equivariant maps from spheres to complements of arrangements ⋮ Equipartitions of a mass in boxes ⋮ Ham-Sandwich Cuts and Center Transversals in Subspaces ⋮ More bisections by hyperplane arrangements ⋮ CUTTING A PART FROM MANY MEASURES ⋮ Splitting Necklaces, with Constraints
Cites Work
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- Range searching with efficient hierarchical cuttings
- Partitions of mass-distributions and of convex bodies by hyperplanes
- Non-partitionable point sets
- On the combinatorial antipodal-point lemmas
- Efficient partition trees
- On the complexity of the parity argument and other inefficient proofs of existence
- Algorithms for ham-sandwich cuts
- Simultane Vierteilung zweier Körper
- A generalization of Tucker's combinatorial lemma with topological applications
- Bisection of Circle Colorings
- An ideal-valued cohomological index theory with applications to Borsuk—Ulam and Bourgin—Yang theorems
- Partitioning Space for Range Queries
- Shorter Notes: A Proof of the Nonretractibility of a Cell Onto its Boundary
- Counting sequences
- Polygon Retrieval
- The Borsuk-Ulam Theorem and Bisection of Necklaces
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