32 citations · 50 across the 10 of their papers we have counts for
17 papers
Hypergraph Characterization of Fusion Rings
Paul Bruillard, Kathleen Nowak, Stephen J. Young
We present a correspondence between multiplicity-free, self-dual, fusion rings and a digraph, hypergraph pair . This correspondence is used to provide a complete characteriz…
Scalable tensor methods for nonuniform hypergraphs
Sinan G. Aksoy, Ilya Amburg, Stephen J. Young
While multilinear algebra appears natural for studying the multiway interactions modeled by hypergraphs, tensor methods for general hypergraphs have been stymied by theoretical and…
SpectralFly: Ramanujan Graphs as Flexible and Efficient Interconnection Networks
Stephen Young, Sinan Aksoy, Jesun Firoz +5
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…
Directional Laplacian Centrality for Cyber Situational Awareness
Sinan G. Aksoy, Emilie Purvine, Stephen J. Young
Cyber operations is drowning in diverse, high-volume, multi-source data. In order to get a full picture of current operations and identify malicious events and actors analysts must…
Dimension of Restricted Classes of Interval Orders
Mitchel T. Keller, Ann N. Trenk, Stephen J. Young
Rabinovitch showed in 1978 that the interval orders having a representation consisting of only closed unit intervals have order dimension at most 3. This article shows that the sam…
Spectral Threshold for Extremal Cyclic Edge-Connectivity
Sinan G. Aksoy, Mark Kempton, Stephen J. Young
The cyclic edge-connectivity of a graph is the least such that there exists a set of edges whose removal disconnects into components where every component contains…