204 citations
- Trier University of Applied SciencesDE9 papers
- German Research Centre for Artificial IntelligenceDE6 papers
- University of KaiserslauternDE6 papers
- Fraunhofer Institute for Industrial MathematicsDE5 papers
- KU LeuvenBE5 papers
- University of WürzburgDE5 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR4 papers
- Universidad Carlos III de MadridES4 papers
- Carl von Ossietzky Universität OldenburgDE3 papers
- Institute of Mathematical SciencesIN3 papers
- Sapienza University of RomeIT3 papers
- Universidad Autónoma de MadridES3 papers
7 papers · 1 filter
Matching number, Hamiltonian graphs and discrete magnetic Laplacians
J. S. Fabila-Carrasco, Fernando Lledó, Olaf Post
In this article, we relate the spectrum of the discrete magnetic Laplacian (DML) on a finite simple graph with two structural properties of the graph: the existence of a perfect ma…
Spectral preorder and perturbations of discrete weighted graphs
John Stewart Fabila-Carrasco, Fernando Lledó, Olaf Post
In this article, we introduce a geometric and a spectral preorder relation on the class of weighted graphs with a magnetic potential. The first preorder is expressed through the ex…
Spectral gaps and discrete magnetic Laplacians
John Stewart Fabila-Carrasco, Fernando Lledó, Olaf Post
The aim of this article is to give a simple geometric condition that guarantees the existence of spectral gaps of the discrete Laplacian on periodic graphs. For proving this, we an…
The Axiomatization of Affine Oriented Matroids Reassessed
Andrea Baum, Yida Zhu
In an unpublished manuscript of 1992, Johan Karlander has given an axiomatization of affine oriented matroids. A closer examination of the text revealed an invalid construction and…
On the (adjacency) metric dimension of corona and strong product graphs and their local variants: combinatorial and computational results
Juan A. Rodríguez-Velázquez, Henning Fernau
The metric dimension is quite a well-studied graph parameter. Recently, the adjacency metric dimension and the local metric dimension have been introduced. We combine these variant…
The Jacobi-Stirling Numbers
George E. Andrews, Eric S. Egge, Wolfgang Gawronski +1
The Jacobi-Stirling numbers were discovered as a result of a problem involving the spectral theory of powers of the classical second-order Jacobi differential expression. Specifica…