Imagen de Portada

Erdős's diameter conjecture for separated distances fails in high dimensions

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autor principal:	Ho, Boon Suan
Formato:	Preprint
Publicado:	2026
Materias:	Combinatorics Metric Geometry 52C10
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

An improved lower bound to Erdos' problem concerning products of distances for fixed diameter
por: Sothanaphan, Nat
Publicado: (2025)

A note on the Erdős conjecture about square packing
por: Baek, Jineon, et al.
Publicado: (2024)

Nearly equal distances in the plane, II
por: Erdős, P., et al.
Publicado: (2021)

On the Erdős distance problem
por: Agama, Theophilus
Publicado: (2020)

A new lower bound for the kissing number in 19 dimensions
por: Ho, Boon Suan
Publicado: (2026)

Penny graphs in the hyperbolic plane
por: Sagmeister, Ádám, et al.
Publicado: (2025)

On Distinct Angles in the Plane
por: Konyagin, Sergei V., et al.
Publicado: (2024)

Minimal and Maximal Distances in Metric Spaces
por: Ranđelović, Žarko
Publicado: (2024)

On the general no-three-in-line problem
por: Agama, Theophilus
Publicado: (2021)

Improved estimates on the number of unit perimeter triangles
por: Goenka, Ritesh, et al.
Publicado: (2023)

General penny graphs are at most 43/18-dense
por: Sagdeev, Arsenii
Publicado: (2024)

More unit distances in arbitrary norms
por: Greilhuber, Josef, et al.
Publicado: (2024)

Canonical Ramsey: triangles, rectangles and beyond
por: Fang, Yijia, et al.
Publicado: (2025)

No new lower bound for the density of planar Sets avoiding Unit Distances
por: Ruhland, Helmut
Publicado: (2024)

Families of lattices with an unbounded number of unit vectors
por: Ruhland, Helmut
Publicado: (2024)

On the maximum product of distances of diameter $2$ point sets
por: Cambie, Stijn, et al.
Publicado: (2026)

On the uniqueness of collections of pennies and marbles
por: Dewar, Sean, et al.
Publicado: (2023)

Generalised rigid body motions in non-Euclidean planes with applications to global rigidity
por: Dewar, Sean, et al.
Publicado: (2021)

Regular matchstick graphs on the sphere
por: Swanepoel, Konrad J.
Publicado: (2025)

At most 10 cylinders mutually touch: a Ramsey-theoretic approach
por: Dillon, Travis, et al.
Publicado: (2025)

A new upper bound for mutually touching infinite cylinders
por: Koizumi, Junnosuke
Publicado: (2025)

Monochromatic infinite sets in Minkowski planes
por: Frankl, Nóra, et al.
Publicado: (2023)

Angular constraints on planar frameworks
por: Dewar, Sean, et al.
Publicado: (2024)

Visibility cliques, cubic containers, and dense orchard cores
por: Sarkar, Sohail
Publicado: (2026)

Maximizing the Maximum Degree in Ordered Nearest Neighbor Graphs
por: Ágoston, Péter, et al.
Publicado: (2024)

Rotationally Symmetric Tilings with Convex Pentagons and Hexagons
por: Klaassen, Bernhard
Publicado: (2015)

$k$-fold circuits and coning in rigidity matroids
por: Hewetson, John, et al.
Publicado: (2025)

Old problem revisited: Which equilateral convex polygons tile the plane?
por: Klaassen, Bernhard
Publicado: (2025)

Counting Frameworks of Bipyramids
por: Southgate, Jack
Publicado: (2023)

Counting for rigidity under projective transformations in the plane
por: Berman, Leah Wrenn, et al.
Publicado: (2025)

Is the spiral effect psychological?
por: Klaassen, Bernhard
Publicado: (2021)

Edge-length preserving embeddings of graphs between normed spaces
por: Dewar, Sean, et al.
Publicado: (2024)

Uniquely realisable graphs in polyhedral normed spaces
por: Dewar, Sean
Publicado: (2025)

On prescribing total preorders and linear orders to pairwise distances of points in Euclidean space
por: Almendra-Hernández, Víctor Hugo, et al.
Publicado: (2021)

Reducing the upper bound for the Borsuk number in $\mathbb{R}^4$ to 8
por: Tolmachev, Alexander, et al.
Publicado: (2026)

A note on Borsuk's problem in Minkowski spaces
por: Raigorodskii, Andrei M., et al.
Publicado: (2023)

Rigidity-Induced Scaling Laws in Unit Distance Graphs: The Algebraic Collapse of Dense Substructures
por: Aloisio, Lucas
Publicado: (2026)

Forbidden induced subgraphs for graphs and signed graphs with eigenvalues bounded from below
por: Jiang, Zilin, et al.
Publicado: (2021)

Convex polytopes in restricted point sets in $\mathbb{R}^d$
por: Bukh, Boris, et al.
Publicado: (2022)

Self-affine quadrangles
por: Richter, Christian, et al.
Publicado: (2025)