On Densities of Lattice Arrangements Intersecting Every i-Dimensional Affine Subspace-Reference-Cited by-同舟云学术

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On Densities of Lattice Arrangements Intersecting Every i-Dimensional Affine Subspace

Published:2017-08-01 Issue:3 Volume:58 Page:663-685
ISSN:0179-5376
Container-title:Discrete & Computational Geometry
language:en
Short-container-title:Discrete Comput Geom

Author:

Merino Bernardo González,Schymura Matthias^ORCID

Funder

Fundación Séneca

MINECO

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Link

http://link.springer.com/article/10.1007/s00454-017-9911-x/fulltext.html

Reference35 articles.

1. Aliev, I.: On the lattice programming gap of the group problems. Oper. Res. Lett. 43(2), 199–202 (2015)

2. Álvarez Paiva, J.C., Balacheff, F., Tzanev, K.: Isosystolic inequalities for optical hypersurfaces. Adv. Math. 301, 934–972 (2016)

3. Averkov, G., Wagner, C.: Inequalities for the lattice width of lattice-free convex sets in the plane. Beitr. Algebra Geom. 53(1), 1–23 (2012)

4. Bambah, R.P., Woods, A.C.: On a problem of G. Fejes Tóth. Proc. Indian Acad. Sci. Math. Sci. 104(1), 137–156 (1994)

5. Banaszczyk, W.: Inequalities for convex bodies and polar reciprocal lattices in $$\mathbf{R}^n$$ R n . II. Application of $$K$$ K -convexity. Discrete Comput. Geom. 16(3), 305–311 (1996)

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