Kelly Isham

activity

20202026

most citedPolarFly: A Cost-Effective and Flexible Low-Diameter Topology

21 citations · 37 across the 13 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

cs.NI2022★ 21 cited

PolarFly: A Cost-Effective and Flexible Low-Diameter Topology

Kartik Lakhotia, Maciej Besta, Laura Monroe +4

In this paper we present PolarFly, a diameter-2 network topology based on the Erdos-Renyi family of polarity graphs from finite geometry. This is a highly scalable low-diameter top…

math.CO2022

An algorithm to count the number of caps in $P^{3} (F_{q})$

Kelly Isham

An $n$ -cap in $k$ -dimensional projective space is a set of $n$ points so that no three lie on a line. In this note, we provide an algorithm to count the number of $n$ -caps in $\mat…

math.NT2022

Is the number of subrings of index $p^{e}$ in $Z^{n}$ polynomial in $p$ ?

Kelly Isham

It is well-known that for each fixed $n$ and $e$ , the number of subgroups of index $p^{e}$ in $Z^{n}$ is a polynomial in $p$ . Is this true for \emph{subrings} in $\mathbb{Z}^n…

PolarFly: A Cost-Effective and Flexible Low-Diameter Topology

An algorithm to count the number of caps in P3(Fq​)

Is the number of subrings of index pe in Zn polynomial in p?

An algorithm to count the number of caps in $P^{3} (F_{q})$

Is the number of subrings of index $p^{e}$ in $Z^{n}$ polynomial in $p$ ?