arXiv subjects

Ryan Becker

Publications and source records attributed to Ryan Becker.

2 recordsLinked to original sources

arXiv2015

Cyclic Critical Groups of Graphs

In this note, we describe a construction that leads to families of graphs whose critical groups are cyclic. For some of these families we are able to give a formula for the number of spanning trees of the graph, which then determines the group exactly. We also pose several open questions related to this work.

math.CO↗

arXiv2012

Pointless Hyperelliptic Curves

In this paper we consider the question of whether there exists a hyperelliptic curve of genus $g$ which is defined over $\FF_q$ but has no rational points over $\FF_q$ for various pairs $(g,q)$.

math.NT↗