DOIAbstract
AbstractWe obtain upper bounds of diameter and volume for finite graphs by Ollivier’s Ricci curvature
AbstractWe obtain upper bounds of diameter and volume for finite graphs by Ollivier’s Ricci curvature
Abstract. A question about Ricci flow is when the diameters of the manifold under the evolving metri...
International audienceThe problem of defining correctly geometric objects such as the curvature is a...
We study the long-scale Ollivier Ricci curvature of graphs as a function of the chosen idleness. Sim...
We are concerned with the study of different notions of curvature on graphs. We show that if a graph...
The interaction between the study of geometric and analytic aspects of Riemannian manifolds and that...
We prove finiteness and diameter bounds for graphs having a positive Ricci-curvature bound in the Ba...
This thesis gives an overview of three notions of Ricci curvature for discrete spaces, including Oll...
Abstract. We prove the following estimate for the spectrum of the normalized Laplace operator ∆ on a...
We modify the definition of Ricci curvature of Ollivier of Markov chains on graphs to study the prop...
By studying the heat semigroup, we prove Li-Yau type estimates for bounded and positive solutions of...
We study the long-scale Ollivier Ricci curvature of graphs as a function of the chosen idleness. Sim...
We introduce a notion of curvature on finite, combinatorial graphs. It can be easily computed by sol...
We give a new upper bound for the average graph distance in terms of the average Ollivier curvature....
Abstract Many empirical networks incorporate higher order relations between elements and therefore a...
AbstractWe obtain upper bounds of diameter and volume for finite graphs by Ollivier’s Ricci curvatur...
Abstract. A question about Ricci flow is when the diameters of the manifold under the evolving metri...
International audienceThe problem of defining correctly geometric objects such as the curvature is a...
We study the long-scale Ollivier Ricci curvature of graphs as a function of the chosen idleness. Sim...
We are concerned with the study of different notions of curvature on graphs. We show that if a graph...
The interaction between the study of geometric and analytic aspects of Riemannian manifolds and that...
We prove finiteness and diameter bounds for graphs having a positive Ricci-curvature bound in the Ba...
This thesis gives an overview of three notions of Ricci curvature for discrete spaces, including Oll...
Abstract. We prove the following estimate for the spectrum of the normalized Laplace operator ∆ on a...
We modify the definition of Ricci curvature of Ollivier of Markov chains on graphs to study the prop...
By studying the heat semigroup, we prove Li-Yau type estimates for bounded and positive solutions of...
We study the long-scale Ollivier Ricci curvature of graphs as a function of the chosen idleness. Sim...
We introduce a notion of curvature on finite, combinatorial graphs. It can be easily computed by sol...
We give a new upper bound for the average graph distance in terms of the average Ollivier curvature....
Abstract Many empirical networks incorporate higher order relations between elements and therefore a...
AbstractWe obtain upper bounds of diameter and volume for finite graphs by Ollivier’s Ricci curvatur...
Abstract. A question about Ricci flow is when the diameters of the manifold under the evolving metri...
International audienceThe problem of defining correctly geometric objects such as the curvature is a...
We study the long-scale Ollivier Ricci curvature of graphs as a function of the chosen idleness. Sim...
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