5 papers
A combinatorial Approach to -Ricci and Lin-Lu-Yau Ricci curvatures on Graphs
Jaewoo Jung, Young Soo Kwon, Seungjae Lee +1
In this paper, we study the -Ricci curvature and the Lin-Lu-Yau Ricci curvature on simple, connected, and locally finite graphs. For regular graphs, we introduce a combinatorial…
An Eisenbud-Goto type inequality for Stanley-Reisner ideals and simplicial complexes
Jaewoo Jung, Jinha Kim, Minki Kim +1
The Leray number of an abstract simplicial complex is the minimal integer where its induced subcomplexes have trivial homology groups in dimension or greater. We give an up…
Sums of squares, Hankel index, and almost real rank
Grigoriy Blekherman, Justin Chen, Jaewoo Jung
The Hankel index of a real variety is an invariant that quantifies the difference between nonnegative quadrics and sums of squares on . In [5], the authors proved an intrigu…
Bounds on Regularity of Quadratic Monomial Ideals
Grigoriy Blekherman, Jaewoo Jung
Castelnuovo-Mumford regularity is a measure of algebraic complexity of an ideal. Regularity of monomial ideals can be investigated combinatorially. We use a simple graph decomposit…
On Global Existence of Classical Solutions for the Vlasov-Poisson System in Convex Bounded Domains
Hyung Ju Hwang, Jaewoo Jung, Juan J. L. Velazquez
We prove global existence of strong solutions for the Vlasov-Poisson system in a convex bounded domain in the plasma physics case assuming homogeneous Dirichlet boundary conditions…