Anna M. Limbach

collaborators

3 papers

math.CO2025

Effective Khovanskii, Ehrhart Polytopes, and the Erdős Multiplication Table Problem

Anna Margarethe Limbach, Robert Scheidweiler, Eberhard Triesch

Let $P (k, n)$ be the set of products of $k$ factors from the set ${1, \dots, n} .$ In 1955, Erdős posed the problem of determining the order of magnitude of $∣ P (2, n) ∣$ and prove…

math.CO2025

When do graph covers preserve the clique dynamics of infinite graphs?

Anna M. Limbach, Martin Winter

We investigate for which classes of (potentially infinite) graphs the clique dynamics is cover stable, i. e., when clique convergence/divergence is preserved under triangular cover…

math.CO2021

Clique dynamics of locally cyclic graphs with $δ \geq 6$

Markus Baumeister, Anna M. Limbach

We prove that the clique graph operator $k$ is divergent on a locally cyclic graph $G$ (i.e. $N_{G} (v)$ is a circle) with minimum degree $δ (G) = 6$ if and only if $G$ is $6$ -regular. T…

Effective Khovanskii, Ehrhart Polytopes, and the Erdős Multiplication Table Problem

When do graph covers preserve the clique dynamics of infinite graphs?

Clique dynamics of locally cyclic graphs with δ≥6

Clique dynamics of locally cyclic graphs with $δ \geq 6$