Results 21 to 30 of about 379,147 (157)
An Edge-Signed Generalization of Chordal Graphs, Free Multiplicities on Braid Arrangements, and Their Characterizations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 In this article, we propose a generalization of the notion of chordal graphs to signed graphs, which is based on the existence of a perfect elimination ordering for a chordal graph. We give a special kind of filtrations of the generalized chordal graphs,
Takuro Abe, Koji Nuida, Yasuhide Numata
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Hyperplane arrangement face algebras and their associated Markov chains.
, 1997 Let ${\cal A}$ be a hyperplane arrangement and let F and G be two of its faces. We define the product of F and G to be the smallest face whose closure contains F and which is separated from G by the fewest number of hyperplanes. Extending this product to
Bidigare, Thomas Patrick
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On the freeness of hypersurface arrangements consisting of hyperplanes and spheres
Open Mathematics, 2018 Let V be a smooth variety. A hypersurface arrangement đ in V is a union of smooth hypersurfaces, which locally looks like a union of hyperplanes. We say đ is free if all these local models can be chosen to be free hyperplane arrangements.
Gao Ruimei, Dai Qun, Li Zhe
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Hyperplane arrangements between Shi and Ish [PDF]
, 2018 We introduce a new family of hyperplane arrangements in dimension nâ„3 that includes both the Shi arrangement and the Ish arrangement. We prove that all the members of this family have the same number of regions -- the connected components of the ...
Duarte, Rui +3 more
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Affine and toric hyperplane arrangements [PDF]
, 2008 We extend the Billera-Ehrenborg-Readdy map between the intersection lattice and face lattice of a central hyperplane arrangement to affine and toric hyperplane arrangements.
Margaret Readdy +5 more
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A Converse to a Theorem of Oka and Sakamoto for Complex Line Arrangements
Mathematics, 2013 Let C1 and C2 be algebraic plane curves in â 2 such that the curves intersect in d1 · d2 points where d1, d2 are the degrees of the curves respectively. Oka and Sakamoto proved that Ï1( â 2 \ C1 U C2)) â Ï1 ( â 2 \ C1) Ă Ï1 ( â 2 \
Kristopher Williams
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A Geometric Characterization of Steady Laminar Flow
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed nonâcontractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
wiley +1 more source
Combinatorially equivalent hyperplane arrangements [PDF]
, 2021 We study the combinatorics of hyperplane arrangements over arbitrary fields. Specifically, we determine in which situation an arrangement and its reduction modulo a prime number have isomorphic lattices via the use of minimal strong sigma-Grobner bases ...
Torielli, Michele +3 more
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Supervised Protein Structure Classification Using Topological Persistence With DeltaFold
Proteins: Structure, Function, and Bioinformatics, EarlyView.ABSTRACT Recent advances in protein structure prediction have considerably increased the number of available structures, underscoring the need for scalable and accurate methods to compare and classify this huge amount of data. Current approaches based on sequence alignment or structural superposition often lack sensitivity and/or are computationally ...
Joseph NardinâGennequin +3 more
wiley +1 more source
Milnor-Witt motivic cohomology of complements of hyperplane arrangements [PDF]
, 2023 In this paper, we compute the (total) Milnor-Witt motivic cohomology of the complement of a hyperplane arrangement in an affine space as an algebra with given generators and relations.
Peng, Keyao
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