Results 141 to 150 of about 468 (159)
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2003
There are many fields which are similar in spirit and related in the methods used and results obtained to the combinatorial theory of polytopes. The present chapter is devoted to one such field: to questions dealing with arrangements of (or partitions by) hyperplanes.
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There are many fields which are similar in spirit and related in the methods used and results obtained to the combinatorial theory of polytopes. The present chapter is devoted to one such field: to questions dealing with arrangements of (or partitions by) hyperplanes.
openaire +1 more source
On the zone of a surface in a hyperplane arrangement
2005Let H be a collection of n hyperplanes in ℝ d , let A denote the arrangement of H, and let σ be a (d - 1)-dimensional algebraic surface of low degree, or the boundary of a convex body in ℝd. The zone of σ in A is the collection of cells of A crossed by σ. We show that the total number of faces bounding the cells of the zone of σ is O(nd−1 log n).
Boris Aronov, Micha Sharir
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k-Lefschetz properties, sectional matrices and hyperplane arrangements
Journal of Algebra, 2022Michele Torielli, Elisa Palezzato
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Euclidean matchings and minimality of hyperplane arrangements
Discrete Mathematics, 2021Giovanni Paolini, Davide Lofano
exaly
The Facial Weak Order on Hyperplane Arrangements
Discrete and Computational Geometry, 2021Thomas Mcconville +2 more
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Congruence Normality of Simplicial Hyperplane Arrangements via Oriented Matroids
Annals of Combinatorics, 2021Jean-Philippe Labbé +2 more
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On the enumeration of a certain type of hyperplane arrangements
Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2021CHUDAMANI Pranesachar Anil Kumar
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