108 citations · 358 across the 34 of their papers we have counts for
12 papers · 1 filter
Witten-Morse functions and Morse inequalities on digraphs
Yong Lin, Chong Wang
In this paper, we prove that discrete Morse functions on digraphs are flat Witten-Morse functions and Witten complexes of transitive digraphs approach to Morse complexes. We constr…
Torsion of digraphs and path complexes
Alexander Grigor'yan, Yong Lin, Shing-Tung Yau
We define the notions of Reidemeister torsion and analytic torsion for directed graphs by means of the path homology theory introduced by the authors in \cite{Grigoryan-Lin-Muranov…
Ricci-flat cubic graphs with girth five
David Cushing, Riikka Kangaslampi, Yong Lin +3
We classify all connected, simple, 3-regular graphs with girth at least 5 that are Ricci-flat. We use the definition of Ricci curvature on graphs given in Lin-Lu-Yau, Tohoku Math.,…
Erratum for Ricci-flat graphs with girth at least five
David Cushing, Riikka Kangaslampi, Yong Lin +3
This erratum will correct the classification of Theorem 1 in Lin-Lu-Yau, Comm. Anal. Geom., 2014, that misses the Triplex graph.
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.
Properties for CD Inequalities with Unbounded Laplacians
Cao Gong, Yong Lin
The CD equalities were introduced to imply the gradient estimate of laplace operator on graphs. This article is based on the unbounded Laplacians, and finally concludes some equiva…