S. Majhi

activity

20242026

collaborators

Showing math.ATShow all

4 papers · 1 filter

math.AT2026

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions

Kazuhiro Kawamura, Sushovan Majhi, Atish Mitra

The Intersection Euler Characteristic Profile (Intersection ECP) of $k$ colored point clouds $X_{1}, \dots, X_{k} \subset R^{d}$ is the Euler characteristic $χ(\bigcap_{i=1}^k…

math.AT2026

Vietoris--Rips Shadow for Euclidean Graph Reconstruction

Rafal Komendarczyk, Sushovan Majhi, Atish Mitra

The shadow of an abstract simplicial complex $K$ with vertices in $R^{N}$ is a subset of $R^{N}$ defined as the union of the convex hulls of simplices of $K$ . The Vie…

math.AT2026

Topological Stability and Latschev-type Reconstruction Theorems for Spaces of Curvature Bounded Above

Rafal Komendarczyk, Sushovan Majhi, Will Tran

We consider the problem of homotopy-type reconstruction of compact subsets $X \subset R^{N}$ that have the Alexandrov curvature bounded above ( $\leq$ $I^º$ ) in the intrinsic length met…

math.AT2026

The Shadow of Vietoris--Rips Complexes in Limits

Kazuhiro Kawamura, Sushovan Majhi, Atish Mitra

The Vietoris-Rips complex, denoted $R_{I^}^{2} (X)$ , of a metric space $(X, d)$ at scale $I^^{2}$ is an abstract simplicial complex where each $k$ -simplex corresponds to $(k + 1)$ points of $X$ …