27 citations · 79 across the 17 of their papers we have counts for
5 papers · 1 filter
Coloring the normalized Laplacian for oriented hypergraphs
Aida Abiad, Raffaella Mulas, Dong Zhang
The independence number, coloring number and related parameters are investigated in the setting of oriented hypergraphs using the spectrum of the normalized Laplace operator. For t…
-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…
Khintchine inequality on normed spaces and the application to Banach-Mazur distance
Xin Luo, Dong Zhang
We establish variant Khintchine inequalities on normed spaces of Hanner type and cotype, in which the Rademacher distribution corresponding to classical Khintchine inequality is re…
Spectral Theory of Laplace Operators on Oriented Hypergraphs
Raffaella Mulas, Dong Zhang
Several new spectral properties of the normalized Laplacian defined for oriented hypergraphs are shown. The eigenvalue and the case of duplicate vertices are discussed; two Cou…
Discrete-to-Continuous Extensions: Lovász extension and Morse theory
Jürgen Jost, Dong Zhang
This is the first of a series of papers that develop a systematic bridge between constructions in discrete mathematics and the corresponding continuous analogs. In this paper, we e…