3 papers
cs.DM2025
Measuring Ransomware Lateral Movement Susceptibility via Privilege-Weighted Adjacency Matrix Exponentiation
Satyam Tyagi, Ganesh Murugesan
Ransomware impact hinges on how easily an intruder can move laterally and spread to the maximum number of assets. We present a graph-theoretic formulation that casts lateral moveme…
cs.DM2025
Product-Congruence Games: A Unified Impartial-Game Framework for RSA (-MuM) and AES (poly-MuM)
Satyam Tyagi
RSA exponent reduction and AES S-box inversion share a hidden commonality: both are governed by the same impartial combinatorial principle, which we call a Product-Congruence Game…
cs.DM2025
Multiplicative Modular Nim (MuM)
Satyam Tyagi
We introduce Multiplicative Modular Nim (MuM), a variant of Nim in which the traditional nim-sum is replaced by heap-size multiplication modulo m. We establish a complete theory fo…