73 citations · 141 across the 26 of their papers we have counts for
5 papers · 1 filter
Parallel Algorithms and Heuristics for Efficient Computation of High-Order Line Graphs of Hypergraphs
Xu T. Liu, Jesun Firoz, Andrew Lumsdaine +4
This paper considers structures of systems beyond dyadic (pairwise) interactions and investigates mathematical modeling of multi-way interactions and connections as hypergraphs, wh…
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…
Hypergraph Random Walks, Laplacians, and Clustering
Koby Hayashi, Sinan G. Aksoy, Cheong Hee Park +1
We propose a flexible framework for clustering hypergraph-structured data based on recently proposed random walks utilizing edge-dependent vertex weights. When incorporating edge-d…
Hypernetwork Science: From Multidimensional Networks to Computational Topology
Cliff A. Joslyn, Sinan Aksoy, Tiffany J. Callahan +5
As data structures and mathematical objects used for complex systems modeling, hypergraphs sit nicely poised between on the one hand the world of network models, and on the other t…
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…