Cover Image

On Lattice Diameter Segments and A Discrete Borsuk Partition Problem

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Brose, Anouk E., De Loera, Jesús A., Lopez-Campos, Gyivan, Torres, Antonio J.
Format:	Preprint
Published:	2025
Subjects:	Combinatorics 52A38, 52B20, 52B55, 52C07, 52C17
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the Number of Vertices in a Hyperplane Section of a Polytope
by: De Loera, Jesús A., et al.
Published: (2024)

Borsuk and Vázsonyi problems through Reuleaux polyhedra
by: Lopez-Campos, Gyivan, et al.
Published: (2023)

The Best Ways to Slice a Polytope
by: Brandenburg, Marie-Charlotte, et al.
Published: (2023)

Upper Bounds on Covering Minima of Convex Bodies
by: Krivokuća, Katarina
Published: (2026)

Geometric Estimates in Linear Interpolation on a Cube and a Ball
by: Nevskii, Mikhail
Published: (2024)

On separability in discrete geometry
by: Bezdek, Károly, et al.
Published: (2024)

Generalizations of Scott's inequality and Pick's formula to rational polygons
by: Bohnert, Martin, et al.
Published: (2024)

Lower Bound on Translative Covering Density of Tetrahedra
by: Li, Yiming, et al.
Published: (2022)

Acyclotopes and Tocyclotopes
by: Bach, Eleonore, et al.
Published: (2024)

Voronoi conjecture for five-dimensional parallelohedra
by: Garber, Alexey
Published: (2019)

Critical moments of slices and slabs of the cube (and other polyhedral norms)
by: Brandenburg, Marie-Charlotte, et al.
Published: (2026)

Linearly-exponential checking is enough for the Lonely Runner Conjecture and some of its variants
by: Malikiosis, Romanos Diogenes, et al.
Published: (2024)

Empty simplices of large width
by: Doolittle, Joseph, et al.
Published: (2021)

A degenerate version of Brion's formula
by: Peterson, Carsten
Published: (2024)

Generalizations of cyclic polytopes
by: Bisztriczky, Tibor
Published: (2024)

Matroids, intersecting bases, and Borsuk property
by: López-Campos, Gyivan, et al.
Published: (2025)

Partial permutohedra
by: Behrend, Roger E., et al.
Published: (2022)

Lattice Size in Higher Dimension
by: Alajmi, Abdulrahman, et al.
Published: (2022)

Covering radii of $3$-zonotopes and the shifted Lonely Runner Conjecture
by: Alcántara, David, et al.
Published: (2025)

The geometry of zonotopal algebras I: cohomology of graphical configuration spaces
by: Crowley, Colin, et al.
Published: (2025)

A Triangulation of the Flow Polytope of the Zigzag Graph
by: Brunner, Rachel, et al.
Published: (2024)

The number of edges of a symmetric edge polytope
by: Codenotti, Giulia, et al.
Published: (2025)

Vertex generated polytopes
by: Artstein-Avidan, Shiri, et al.
Published: (2024)

Subdivisions of Hypersimplices: with a View Toward Finite Metric Spaces
by: Casabella, Laura, et al.
Published: (2024)

Minimal dispersion on the sphere
by: Litvak, Alexander E., et al.
Published: (2025)

Discrete Curvatures and Convex Polytopes
by: De Loera, Jesús A., et al.
Published: (2025)

Salvetti complexes for conditional oriented matroids
by: Dorpalen-Barry, Galen, et al.
Published: (2025)

Realizations of multiassociahedra via rigidity
by: Ruiz, Luis Crespo, et al.
Published: (2022)

Deformed Intersections of Half-spaces
by: Fu, Houshan, et al.
Published: (2024)

Quasi-period collapse in half-integral polygons
by: Bohnert, Martin
Published: (2024)

Unimodular triangulation and bounds for smooth Fano polytopes
by: Hegedüs, Gábor
Published: (2026)

On Hadwiger's covering problem in small dimensions
by: Arman, Andrii, et al.
Published: (2024)

Rigidity of Circle Packings with Flexible Radii
by: Connelly, Robert, et al.
Published: (2022)

Decomposition method and upper bound density related to congruent saturated hyperball packings in hyperbolic $n-$space
by: Yahya, Arnasli, et al.
Published: (2025)

Optimal Horoball Packing Densities for Koszul-type tilings in Hyperbolic $3$-space
by: Kozma, Robert T., et al.
Published: (2022)

Intersection Bodies of Polytopes: Translations and Convexity
by: Brandenburg, Marie-Charlotte, et al.
Published: (2023)

On a Simplex Inscribed in a Ball
by: Nevskii, Mikhail
Published: (2025)

Optimal Lagrange Interpolation Projectors and Legendre Polynomials
by: Nevskii, Mikhail
Published: (2024)

Factorization structures, cones, and polytopes
by: Púček, Roland
Published: (2023)

Plank theorems and their applications: a survey
by: Verreault, William
Published: (2022)