48 citations · 55 across the 6 of their papers we have counts for
4 papers · 1 filter
Generalizing Kirchhoff laws for Signed Graphs
Lucas J. Rusnak, Josephine Reynes, Skyler J. Johnson +1
Kirchhoff-type Laws for signed graphs are characterized by generalizing transpedances through the incidence-oriented structure of bidirected graphs. The classical -arborescence…
Characterizing Attitudinal Network Graphs through Frustration Cloud
Lucas Rusnak, Jelena Tešić
Attitudinal Network Graphs are signed graphs where edges capture an expressed opinion; two vertices connected by an edge can be agreeable (positive) or antagonistic (negative). A s…
Incidence Hypergraphs: Box Products & the Laplacian
Will Grilliette, Lucas J. Rusnak
The box product and its associated box exponential are characterized for the categories of quivers (directed graphs), multigraphs, set system hypergraphs, and incidence hypergraphs…
Oriented Hypergraphs: Balanceability
Lucas J. Rusnak, Selena Li, Brian Xu +2
An oriented hypergraph is an oriented incidence structure that extends the concepts of signed graphs, balanced hypergraphs, and balanced matrices. We introduce hypergraphic structu…