Krishnendu Bhowmick

collaborators

3 papers

math.CO2024

A problem of Erdős about rich distances

Krishnendu Bhowmick

An old question posed by Erdős asked whether there exists a set of $n$ points such that $c \cdot n$ distances occur more than $n$ times. We provide an affirmative answer to this qu…

math.CO2023

Large Convex sets in Difference sets

Krishnendu Bhowmick, Ben Lund, Oliver Roche-Newton

We give a construction of a convex set $A \subset R$ with cardinality $n$ such that $A - A$ contains a convex subset with cardinality $Ω (n^{2})$ . We also consider the following…

math.CO2023

Local Differences Determined by Convex sets

Krishnendu Bhowmick, Miriam Patry, Oliver Roche-Newton

This paper introduces a new problem concerning additive properties of convex sets. Let $S = {s_{1} < \dots < s_{n}}$ be a set of real numbers and let $D_i(S)= \{s_x-s_y: 1 \leq x-y \l…