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 math.COShow all

4 papers · 1 filter

math.CO2026

Kronecker Products, Polarity Quotients and Large Graph Constructions

Kelly Isham, Kartik Lakhotia, Laura Monroe +1

In this paper, we establish a structural compatibility between the Kronecker product of bipartite graphs that admit polarity and their polarity quotients, and provide a sharp upper…

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.CO2021

An algorithm for counting arcs in higher-dimensional projective space

Kelly Isham

An $n$ arc in $(k - 1)$ -dimensional projective space is a set of $n$ points so that no $k$ lie on a hyperplane. In 1988, Glynn gave a formula to count $n$ -arcs in the projective plan…

math.CO2020

On structures induced by the power sequences of $($ \mathbb{Z}/ m\mathbb{Z} $, \cdot)$

Kelly Isham, Laura Monroe

In this paper, we explore the structure of $Z / m Z$ in terms of its orbits under modular exponentiation, illustrating this with a sequential power graph that is na…

Kronecker Products, Polarity Quotients and Large Graph Constructions

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

An algorithm for counting arcs in higher-dimensional projective space

On structures induced by the power sequences of (\mathbb{Z}/ m\mathbb{Z},⋅)

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

On structures induced by the power sequences of $($ \mathbb{Z}/ m\mathbb{Z} $, \cdot)$