Ramesh Kasilingam

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20242026

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math.CO2024

On the Classification of Planar-Rips complexes and their corresponding unit disk graphs

Vinay Sipani, Ramesh Kasilingam

Given a metric space $(X, d)$ , the Vietoris-Rips complex of $X$ at a scale of $r > 0$ is a simplicial complex whose simplices are all those finite subsets of $X$ with diameter less t…

math.AT2024

Smooth Structures on $M \times S^{k}$

Samik Basu, Ramesh Kasilingam, Ankur Sarkar

This paper explores various differentiable structures on the product manifold $M \times S^{k}$ , where $M$ is either a 4-dimensional closed, oriented, smooth manifold or a si…

On the Classification of Planar-Rips complexes and their corresponding unit disk graphs

Smooth Structures on M×Sk

Smooth Structures on $M \times S^{k}$