8 citations · 25 across the 6 of their papers we have counts for
6 papers
On-diagonal lower estimate of heat kernel on graphs
Yong Lin, Yiting Wu
The purpose of this paper is to establish a new continuous-time on-diagonal lower estimate of heat kernel for large time on graphs. To achieve the goal, we first give an upper boun…
Graphs with large girth and nonnegative curvature dimension condition
Bobo Hua, Yong Lin
In this paper, we classify unweighted graphs satisfying the curvature dimension condition CD(0,\infty) whose girth are at least five.
Kazdan-Warner equation on graph
Alexander Grigor'yan, Yong Lin, Yunyan Yang
Let be a finite graph and be the usual graph Laplacian. Using the calculus of variations and a method of upper and lower solutions, we give various conditions such th…
Yamabe type equations on graphs
Alexander Grigor'yan, Yong Lin, Yunyan Yang
Let be a locally finite graph, be a bounded domain, be the usual graph Laplacian, and be the first eigenvalue of with respect to Dirichlet…
Homotopy theory for digraphs
Alexander Grigor'yan, Yong Lin, Yuri Muranov +1
We introduce a homotopy theory of digraphs (directed graphs) and prove its basic properties, including the relations to the homology theory of digraphs constructed by the authors i…
A brief review on geometry and spectrum of graphs
Yong Lin, Shing-Tung Yau
This is a survey paper. We study the Ricci curvature and spectrum of graphs, as well as the exterior forms and deRahm cohomology on graphs.