Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897697 | Linear Algebra and its Applications | 2018 | 19 Pages |
Abstract
An oriented hypergraph is an oriented incidence structure that generalizes and unifies graph and hypergraph theoretic results by examining its locally signed graphic substructure. In this paper we obtain a combinatorial characterization of the coefficients of the characteristic polynomials of oriented hypergraphic Laplacian and adjacency matrices via a signed hypergraphic generalization of basic figures of graphs. Additionally, we provide bounds on the determinant and permanent of the Laplacian matrix, characterize the oriented hypergraphs in which the upper bound is sharp, and demonstrate that the lower bound is never achieved.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Gina Chen, Vivian Liu, Ellen Robinson, Lucas J. Rusnak, Kyle Wang,