4 papers
Ideal Zero-Product Probability in Finite Commutative Rings
Sukrit Chakraborty, Sourav Kanti Patra
We introduce the \emph{ideal zero-product probability}, a new probabilistic invariant associated with a finite commutative ring , defined by \[ ζ_k(R) = \frac{ |\{(I_1,\ldots,I_…
Shortest Paths in a Weighted Simplicial Complex
Sukrit Chakraborty, Prasanta Choudhury, Arindam Mukherjee
Simplicial complexes are extensively studied in the field of algebraic topology. They have gained attention in recent time due to their applications in fields like theoretical dist…
Random Finite Sumsets and Product Sets in Subsets of the Natural Numbers
Sukrit Chakraborty, Sayan Goswami, Sourav Kanti Patra
We investigate the occurrence of additive and multiplicative structures in random subsets of the natural numbers. Specifically, for a Bernoulli random subset of where…
The Moore Bound for Regular Simplicial Complexes
Sukrit Chakraborty
We derive Moore-type upper bounds for regular simplicial complexes and present logarithmic lower bounds on their diameter based on minimum degree.