27 citations · 79 across the 17 of their papers we have counts for
4 papers · 1 filter
Petals and Books: The largest Laplacian spectral gap from 1
Jürgen Jost, Raffaella Mulas, Dong Zhang
We prove that, for any connected graph on vertices, the spectral gap from the value with respect to the normalized Laplacian is at most . Moreover, we show that…
Homological eigenvalues of graph -Laplacians
Dong Zhang
Inspired by persistent homology in topological data analysis, we introduce the homological eigenvalues of the graph -Laplacian , which allows us to analyse and classify non…
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…