Adrian Beker

activity

20202026

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2 papers · 1 filter

math.CO2023

On a problem of Erdős and Graham about consecutive sums in strictly increasing sequences

Adrian Beker

We show the existence of a constant $c > 0$ such that, for all positive integers $n$ , there exist integers $1 \leq a_{1} < \dots < a_{k} \leq n$ such that there are at least $c n^{2}$ di…

math.CO2023

A protrusive ordering of 5 points not witnessed by any finite multiset

Adrian Beker

Given a finite set of points $C \subseteq R^{d}$ , we say that an ordering of $C$ is protrusive if every point lies outside the convex hull of the points preceding it. We giv…