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math.CO2026
Perfect State Transfer on Quotient Graphs in Shunt Decomposition-Based Quantum Walks
Banita Katuwal, Srinath M S, Y Lakshmi Naidu +1
This paper investigates perfect state transfer (PST) in discrete-time quantum walks constructed via the shunt decomposition method. The walks are defined on a graph and its ass…
math.CO2026
Structural and Spectral Properties of Prime Order Element Graph of Finite Abelian Groups
Tapa Manna, Supriyo Dutta, Baby Bhattacharya
Given a finite group , the \emph{Prime Order Element (POE) Graph} consists of the group elements as the vertices, and two vertices and are adjacent if and only i…