arXiv subjects

Stephen Bartell

Publications and source records attributed to Stephen Bartell.

2 recordsLinked to original sources

arXiv2025

The minimal nonplanar strong digraphs

Kuratowski's theorem says that the minimal (under subgraph containment) graphs that are not planar are the subdivisions of $K_5$ and of $K_{3,3}$. Here we study the minimal (under subdigraph containment) strongly-connected digraphs that are not planar. We also find the minimal strongly-connected non-outerplanar digraphs and the minimal strongly-connected non-series-parallel digraphs.

math.CO↗

arXiv2024

The density of the graph of elliptic Dedekind sums

We show that the graph of normalized elliptic Dedekind sums is dense in its image for arbitrary imaginary quadratic fields, generalizing a result of Ito in the Euclidean case. We also derive some basic properties of Martin's continued fraction algorithm for arbitrary imaginary quadratic fields.

math.NT↗