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A Characterization of Oriented Hypergraphic Laplacian and Adjacency Matrix Coefficients
- Publication Year :
- 2017
-
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.
- Subjects :
- Mathematics - Combinatorics
05C50, 05C65, 05C22
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1704.03599
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.laa.2018.07.012