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math.CO2025
On the Vietoris-Rips Complexes of Integer Lattices
Raju Kumar Gupta, Sourav Sarkar, Samir Shukla
For a metric space and , the Vietoris-Rips complex is a simplicial complex whose simplices are finite subsets of with diameter at most . Vi…
math.CO2025
Normal -pseudomanifolds with a relative 2-skeleton
Biplab Basak, Mangaldeep Saha, Sourav Sarkar
The study of face-number-related invariants in simplicial complexes is a central topic in combinatorial topology. Among these, the invariant plays a significant role. For a n…