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Bibliographic Details
Main Author:	Sothanaphan, Nat
Format:	Preprint
Published:	2025
Subjects:	Metric Geometry Combinatorics 52C10
Online Access:	https://arxiv.org/abs/2512.14251
Tags:	Add Tag No Tags, Be the first to tag this record!

On the Erdős distance problem
by: Agama, Theophilus
Published: (2020)

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

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

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

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

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

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

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

On lower bounds of the density of planar periodic sets without unit distances
by: Tolmachev, Alexander
Published: (2024)

Minimal and Maximal Distances in Metric Spaces
by: Ranđelović, Žarko
Published: (2024)

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

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

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

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

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

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

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

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

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

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

Regular matchstick graphs on the sphere
by: Swanepoel, Konrad J.
Published: (2025)

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

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

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

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

Visibility cliques, cubic containers, and dense orchard cores
by: Sarkar, Sohail
Published: (2026)

Angular constraints on planar frameworks
by: Dewar, Sean, et al.
Published: (2024)

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

Classification of equiangular lines with fixed angle $\arccos(1/(1+2\sqrt2))$
by: Gossett, Theodore, et al.
Published: (2026)

From spherical separation center set to the upper and lower bound theorems
by: Han, Huhe
Published: (2024)

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

Uniquely realisable graphs in polyhedral normed spaces
by: Dewar, Sean
Published: (2025)

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

Energy bounds for weighted spherical codes and designs via linear programming
by: Borodachov, Sergiy, et al.
Published: (2024)

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

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

Rotationally Symmetric Tilings with Convex Pentagons and Hexagons
by: Klaassen, Bernhard
Published: (2015)

Counting Frameworks of Bipyramids
by: Southgate, Jack
Published: (2023)

Is the spiral effect psychological?
by: Klaassen, Bernhard
Published: (2021)

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