107 citations · 194 across the 6 of their papers we have counts for
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Intersection Graphs of Oriented Hypergraphs and Their Matrices
Nathan Reff
For a given hypergraph, an orientation can be assigned to the vertex-edge incidences. This orientation is used to define the adjacency and Laplacian matrices. In addition to studyi…
Spectral Properties of Oriented Hypergraphs
Nathan Reff
An oriented hypergraph is a hypergraph where each vertex-edge incidence is given a label of or . The adjacency and Laplacian eigenvalues of an oriented hypergraph are stud…
Oriented Gain Graphs, Line Graphs and Eigenvalues
Nathan Reff
A theory of orientation on gain graphs (voltage graphs) is developed to generalize the notion of orientation on graphs and signed graphs. Using this orientation scheme, the line gr…
An Oriented Hypergraphic Approach to Algebraic Graph Theory
Nathan Reff, Lucas J. Rusnak
An oriented hypergraph is a hypergraph where each vertex-edge incidence is given a label of or . We define the adjacency, incidence and Laplacian matrices of an oriented h…