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math.CO2026
5-cycles in the complement of minimal prime graphs
Micah Dorton, Thomas Michael Keller, Ryan Tang +1
Minimal prime graphs (MPGs) are a special class of prime graphs (also known as Gruenberg-Kegel graphs) associated with finite solvable groups. A graph is an MPG if it has at least…
math.CO2021
The Determinant of -Matrices and Oriented Hypergraphs
Lucas J. Rusnak, Josephine Reynes, Russell Li +2
The determinants of -matrices are calculated by via the oriented hypergraphic Laplacian and summing over an incidence generalization of vertex cycle-covers. These cycle-…