output
19942026
most citedBrownian distance covariance

857 citations

Showing 2023 · math.COShow all

11 papers · 2 filters

math.CO2023★ 1 cited

-percolation with a random

Zsolt Bartha, Brett Kolesnik, Gal Kronenberg

In -percolation, we start with an Erdős--Rényi graph and then iteratively add edges that complete copies of . The process percolates if all edges missing…

math.CO2023

Maximal line-free sets in

Christian Elsholtz, Jakob Führer, Erik Füredi +4

We study subsets of that do not contain progressions of length . We denote by the cardinality of such subsets containing a maximal number…

math.CO2023★ 1 cited

Distinguishing colorings, proper colorings, and covering properties without the Axiom of Choice

Amitayu Banerjee, Zalán Molnár, Alexa Gopaulsingh

We work with simple graphs in ZF (Zermelo--Fraenkel set theory without the Axiom of Choice (AC)) and assume that the sets of colors can be either well-orderable or non-well-orderab…

math.CO2023★ 2 cited

Monochromatic infinite sets in Minkowski planes

Nóra Frankl, Panna Gehér, Arsenii Sagdeev +1

We prove that for any -norm in the plane with and for every infinite , there exists a two-colouring of the plane such that no…

math.CO2023

On the number of tangencies among -intersecting -monotone curves

Eyal Ackerman, Balázs Keszegh

Let $\cC$ be a set of curves in the plane such that no three curves in $\cC$ intersect at a single point and every pair of curves in $\cC$ intersect at exactly one point which is e…

math.CO2023★ 3 cited

Partial reflections and globally linked pairs in rigid graphs

Dániel Garamvölgyi, Tibor Jordán

A -dimensional framework is a pair , where is a graph and maps the vertices of to points in . The edges of are mapped to the corresponding l…

math.CO2023

Stability from graph symmetrization arguments in generalized Turán problems

Dániel Gerbner, Hilal Hama Karim

Given graphs and , denotes the largest number of copies of in -free -vertex graphs. Let . We say that is -Turán-stable i…

math.CO2023

On asymptotic local Turán problems

Peter Frankl, Jiaxi Nie

An -uniform hypergraph has -property if any set of vertices spans a complete sub-hypergraph on vertices. Let be the minimum edge density of an -ve…

math.CO2023★ 1 cited

Posets are easily testable

Panna Tímea Fekete, Gábor Kun

Alon and Shapira proved that every monotone class (closed under taking subgraphs) of undirected graphs is strongly testable, that is, under the promise that a given graph is either…

math.CO2023

Monochromatic triangles in the max-norm plane

Alexander Natalchenko, Arsenii Sagdeev

For all non-degenerate triangles T, we determine the minimum number of colors needed to color the plane such that no max-norm isometric copy of T is monochromatic.

math.CO2023

Modified Erdős-Ginzburg-Ziv constants for

Alexander Sidorenko

Let be a finite abelian group written additively, and let be a multiple of its exponent. The modified Erdős-Ginzburg-Ziv constant is the smallest integer…