### 2024 FRACTALS Fellow Series Part 1 | **Register** | **Recording**

2024-02-20 (Noon Eastern)

## Abstract

In 2022, Oak Ridge National Laboratory announced the first public exascale computer *Frontier*, allowing 1.102 quintillion operations per second and aiding scientists in experiments such as cosmological simulations. In this talk, we introduce a currently implemented network topology for high-performance computing. In particular, we explore and construct the network topology currently used by Frontier to describe the connections between its components, the *Dragonfly topology*. The Dragonfly topology $\mathrm{Df}(a,g,h)$ is made up of $g$ groups with $a$ routers in each group. Each router has $a-1$ intra-group connections to the other $a-1$ routers of the group and $h$ inter-group connections to routers in other groups. We will also begin our discussion on properties that make a network topology desirable and characteristics that many desirable network topologies for high-performance computing possess as we prepare to study and design network topologies for post-exascale systems.

## Activity Outcomes (bring paper/tablet etc…)

- Construct a
*canonical*Dragonfly topology $\mathrm{Df}(3,4,1)$ - Determine the diameter of the Dragonfly topology $\mathrm{Df}(3,4,1)$
- Determine the maximum number of edge-disjoint spanning tree in the Dragonfly topology $\mathrm{Df}(3,4,1)$

## Bio

2024 FRACTALS Fellow: Aleyah Dawkins is a PhD candidate at George Mason University, graduating in May 2024. Her main research interests are in combinatorics, particularly graph theory. Aleyah is currently a guest student at Los Alamos National Laboratory (LANL) where she researches mathematical designs and properties of high-performance computing networks to be applied to exascale and post-exascale networks, in collaboration with researchers from Colgate University, ETH Zurich, Intel, and LANL. Her professional mission is to create inclusive learning environments to address retention of a diverse community in mathematics.