Results 51 to 60 of about 344,627 (72)
On supersolvable and nearly supersolvable line arrangements [PDF]
Journal of Algebraic Combinatorics, 2018 v.2, major changes, main new result is Proposition 2.1International audienceWe introduce a new class of line arrangements in the projective plane, called nearly supersolvable, and show that any arrangement in this class is either free or nearly free ...
Gabriel Sticlaru, Alexandru DIMCA
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Supersolvable restrictions of reflection arrangements
Journal of Combinatorial Theory - Series A, 2014 16 pages; final version, to appear in Journal of Combinatorial Theory, Series ...
Gerhard Roehrle, Torsten Hoge
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Supersolvable resolutions of line arrangements
Hokkaido Mathematical Journal, 2023 9 pages, 1 ...
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On the geometry of real or complex supersolvable line arrangements
Journal of Combinatorial Theory - Series A, 2016 Given a rank 3 real arrangement $\mathcal A$ of $n$ lines in the projective plane, the Dirac-Motzkin conjecture (proved by Green and Tao in 2013) states that for $n$ sufficiently large, the number of simple intersection points of $\mathcal A$ is greater than or equal to $n/2$.
Stefan O Tohaneanu
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Lattice and order properties of the poset of regions in a hyperplane arrangement [PDF]
Algebra Universalis, 2003 We show that the poset of regions (with respect to a canonical base region)of a supersolvable hyperplane arrangement is a congruence normal lattice. Specifically,the poset of regions of a supersolvable arrangement of rank k is obtained via a sequenceof ...
Nathan Reading
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The Counting Polynomial of a Supersolvable Arrangement
Advances in Mathematics, 1995 Let \(A\) be an arrangement of hyperplanes in a real finite dimensional vector space \(V\). The components of the complement of the union of the hyperplanes are called the chambers of \(A\). The counting polynomial \(\sum_{i \geq 0} a_i t^i\) of \(A\) in a chamber \(C\) is defined by setting \(a_i\) equal to the number of chambers which are separated ...
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On complex supersolvable line arrangements
Journal of Algebra, 2020 v.9: Takuro Abe joins as a co-author, after proving that the conjectural upper bounds 3m-3 holds indeed.
Alexandru DIMCA, Takuro Abe
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On the Finite Group Which Is a Product of Two Subnormal Supersolvable Subgroups
Mathematics, 2022 Let G be a finite group that is a product of two subnormal ( normal) supersolvable subgroups. The following are interesting topics in the study of the structure of G: obtaining the conditions in addition to guarantee that G is supersolvable and giving ...
Yubo Lv, Yangming Li
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Supersolvable LL-lattices of binary trees [PDF]
Discrete Mathematics, 2005 Some posets of binary leaf-labeled trees are shown to be supersolvable lattices and explicit EL-labelings are given.
Frederic Chapoton
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Supersolvability of complementary signed-graphic hyperplane arrangements
Australas. J Comb., 2004The authors study the graphic arrangenment associated to complementary signed graphs consisting of positive and negative graphs such that their union is the complete graph (the reference on arrangements of hyperplanes is the book by \textit{P. Orlik} and \textit{H.
Guangfeng Jiang, Jianming Yu
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