Cover Image

Fractional discrete Helly for pairs in a family of boxes

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Eom, Taehyun, Kim, Minki, Lee, Eon
Format:	Preprint
Published:	2025
Subjects:	Combinatorics 52A35
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Extensions of discrete Helly theorems for boxes
by: Edwards, Timothy, et al.
Published: (2024)

Fractional Helly theorem for Cartesian products of convex sets
by: Chakraborti, Debsoumya, et al.
Published: (2021)

Helly-type theorems for monotone properties of boxes
by: Frankl, Nóra, et al.
Published: (2025)

Helly numbers for Quantitative Helly-type results
by: Ivanov, G., et al.
Published: (2024)

Helly theorem for affine spaces without dimensions
by: Chakraborty, Sutanoya, et al.
Published: (2023)

Colorful positive bases decomposition and Helly-type results for cones
by: Ivanov, Grigory
Published: (2024)

The Helly number of Hamming balls and related problems
by: Alon, Noga, et al.
Published: (2024)

Colorful two-piercing theorem for boxes
by: Chakraborty, Sourav, et al.
Published: (2022)

Fractional Helly property and combinatorics of forking in NTP$_2$ theories
by: Chernikov, Artem, et al.
Published: (2026)

Helly Number, Radon Number and Rank in $Δ$-Convexity on Graphs
by: Anand, Bijo S, et al.
Published: (2024)

Stabbing boxes with finitely many axis-parallel lines and flats
by: Chakraborty, Sutanoya, et al.
Published: (2023)

Bisecting masses with families of parallel hyperplanes
by: Hubard, Alfredo, et al.
Published: (2024)

Largest dyadic dual VC-dimension of non-piercing families
by: Huang, Xinqi, et al.
Published: (2025)

A note on infinite versions of $(p,q)$-theorems
by: Jung, Attila, et al.
Published: (2024)

An elementary proof of Sierksma's conjecture for seven points in the plane
by: Soberón, Pablo
Published: (2026)

No-dimensional Helly's theorem in uniformly convex Banach spaces
by: Ivanov, G.
Published: (2024)

Definable $(ω, 2)$-theorem for families with VC-codensity less than $2$
by: Guerrero, Pablo Andújar
Published: (2022)

An example of an "unlinked" set of $2k + 3$ points in $2k$-space
by: Starkov, M.
Published: (2024)

Piercing intersecting convex sets
by: Bárány, Imre, et al.
Published: (2024)

Noncrossing Partition Lattices from Planar Configurations
by: Cohen, Stella, et al.
Published: (2023)

$k$-dimensional transversals for fat convex sets
by: Jung, Attila, et al.
Published: (2023)

An $(\aleph_0,k+2)$-Theorem for $k$-Transversals
by: Keller, Chaya, et al.
Published: (2023)

A necessary and sufficient condition for $k$-transversals
by: McGinnis, Daniel, et al.
Published: (2024)

A geometric proof of the infinite $(p, q)$-theorem for hyperplane piercing
by: Chakraborty, Sutanoya, et al.
Published: (2024)

A complex analogue of the Goodman-Pollack-Wenger theorem
by: McGinnis, Daniel
Published: (2023)

Helly's Theorem--A Very Early Introduction
by: Grinberg, Eric L.
Published: (2026)

On Banach Spaces with the Helly Approximation Property
by: Ivanov, Grigory
Published: (2026)

Stack-sorting simplices: geometry and lattice-point enumeration
by: Lee, Eon, et al.
Published: (2023)

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

A sharper Ramsey theorem for constrained drawings
by: Paták, Pavel
Published: (2019)

The Primitive Eulerian polynomial
by: Bastidas, Jose, et al.
Published: (2023)

Characteristic quasi-polynomials of truncated arrangements
by: Cao, Ying, et al.
Published: (2026)

Partitions of mass assignments with spheres and wedges
by: Lessure, Deron, et al.
Published: (2025)

Realizing convex codes with axis-parallel boxes
by: Benitez, Miguel, et al.
Published: (2022)

Noncrossing Partitions From Hull Configurations
by: Dougherty, Michael, et al.
Published: (2026)

Noncrossing Partitions From Cones and Semicircles
by: Dougherty, Michael, et al.
Published: (2026)

Generalized snake posets, order polytopes, and lattice-point enumeration
by: Lee, Eon, et al.
Published: (2024)

The Discrete Gauss Image Problem
by: Semenov, Vadim
Published: (2022)

Convex bodies of constant width with exponential illumination number
by: Arman, Andrii, et al.
Published: (2023)

On a Gallai-type problem and illumination of spiky balls and cap bodies
by: Arman, Andrii, et al.
Published: (2024)