Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: SpectralFly: Ramanujan Graphs as Flexible and Efficient Interconnection
  Networks   In recent years, graph theoretic considerations have become increasingly
important in the design of HPC interconnection topologies. One approach is to
seek optimal or near-optimal families of graphs with respect to a particular
graph theoretic property, such as diameter. In this work, we consider
topologies which optimize the spectral gap. We study a novel HPC topology,
SpectralFly, designed around the Ramanujan graph construction of Lubotzky,
Phillips, and Sarnak (LPS). We show combinatorial properties, such as diameter,
bisection bandwidth, average path length, and resilience to link failure, of
SpectralFly topologies are better than, or comparable to, similarly constrained
DragonFly, SlimFly, and BundleFly topologies. Additionally, we simulate the
performance of SpectralFly on a representative sample of micro-benchmarks using
the Structure Simulation Toolkit Macroscale Element Library simulator and study
cost-minimizing layouts, demonstrating considerable benefit of the SpectralFly
topology.

4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph