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math.CO2025
Total -cut complexes of powers of cycle graphs and Cartesian products of certain graphs
Pratiksha Chauhan, Samir Shukla, Kumar Vinayak
For a positive integer , the \emph{ total -cut complex} of a graph , denoted as , is the simplicial complex whose facets are such that $|σ| = |…
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…