124 citations · 548 across the 41 of their papers we have counts for
9 papers · 1 filter
Discrete-to-Continuous Extensions: piecewise multilinear extension, min-max theory and spectral theory
Jürgen Jost, Dong Zhang
We introduce the homogeneous and piecewise multilinear extensions and the eigenvalue problem for locally Lipschitz function pairs, in order to develop a systematic framework for re…
Discrete-to-Continuous Extensions: Lovász extension, optimizations and eigenvalue problems
Jürgen Jost, Dong Zhang
In this paper, we use various versions of Lovász extension to systematically derive continuous formulations of problems from discrete mathematics. This will take place in the follo…
Normalized Laplace Operators for Hypergraphs with Real Coefficients
Jürgen Jost, Raffaella Mulas
Chemical hypergraphs and their associated normalized Laplace operators are generalized and studied in the case where each vertex--hyperedge incidence has a real coefficient. We sys…
-Laplace Operators for Oriented Hypergraphs
Jürgen Jost, Raffaella Mulas, Dong Zhang
The -Laplacian for graphs, as well as the vertex Laplace operator and the hyperedge Laplace operator for the general setting of oriented hypergraphs, are generalized. In particu…
Can one see the shape of a network?
Melanie Weber, Emil Saucan, Jürgen Jost
Traditionally, network analysis is based on local properties of vertices, like their degree or clustering, and their statistical behavior across the network in question. This paper…
Ollivier's Ricci curvature, local clustering and curvature dimension inequalities on graphs
Jürgen Jost, Shiping Liu
In this paper, we explore the relationship between one of the most elementary and important properties of graphs, the presence and relative frequency of triangles, and a combinator…