Results 21 to 30 of about 344,627 (73)
Supersolvable simplicial arrangements [PDF]
Advances in Applied Mathematics, 2019 Simplicial arrangements are classical objects in discrete geometry. Their classification remains an open problem but there is a list conjectured to be complete at least for rank three. A further important class in the theory of hyperplane arrangements with particularly nice geometric, algebraic, topological, and combinatorial properties are the ...
Michael Cuntz, Paul Mücksch
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Graded Linearity of Stanley–Reisner Ring of Broken Circuit Complexes
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 This paper introduces two new notions of graded linear resolution and graded linear quotients, which generalize the concepts of linear resolution property and linear quotient for modules over the polynomial ring A = k[x1, …, xn]. Besides, we compare graded linearity with componentwise linearity in general.
Mohammad Reza-Rahmati +2 more
wiley +1 more source
The freeness of Ish arrangements [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The Ish arrangement was introduced by Armstrong to give a new interpretation of the $q; t$-Catalan numbers of Garsia and Haiman. Armstrong and Rhoades showed that there are some striking similarities between the Shi arrangement and the Ish arrangement ...
Takuro Abe +2 more
doaj +1 more source
Supersolvability and Freeness for $$\psi $$ ψ -Graphical Arrangements [PDF]
Discrete & Computational Geometry, 2015 6 ...
Mu, Lili, Stanley, Richard P
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Decorous lower bounds for minimum linear arrangement [PDF]
, 2011 Minimum Linear Arrangement is a classical basic combinatorial optimization problem from the 1960s, which turns out to be extremely challenging in practice.
Salazar, J J, Caprara, A, Letchford, A N
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Real and complex supersolvable line arrangements in the projective plane [PDF]
Journal of Algebraic Combinatorics, 2020 17 pages; comments ...
Hanumanthu, Krishna, Harbourne, Brian
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Minimal non-supersolvable Lie algebras
, 1985 Three classes of finite-dimensional Lie algebras are studied here: those in which every proper subalgebra is supersolvable, those for which every proper homomorphic image is supersolvable and those which satisfy both ...
Towers, David
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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.
Takuro Abe, Alexandru Dimca
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The Active Bijection between Regions and Simplices in Supersolvable Arrangements of Hyperplanes [PDF]
The Electronic Journal of Combinatorics, 2006 Comparing two expressions of the Tutte polynomial of an ordered oriented matroid yields a remarkable numerical relation between the numbers of reorientations and bases with given activities. A natural activity preserving reorientation-to-basis mapping compatible with this relation is described in a series of papers by the present authors.
Gioan, Emeric, Las Vergnas, Michel
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THE BROKEN CIRCUIT COMPLEX AND THE HYPERSOLVABLE PARTITION COMPLEX
مجلة علوم ذي قار, 2019 In this paper we construct the broken circuit complex of a hypersolvable r -arrangement ? by using the hypersolvable partition analogue and the hypersolvable ordering which respects the hypersolvable structure .We used the minimal informations that ...
Hana ' M .Ali, Abid Ali Al-Ta'ai
doaj +4 more sources