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math.CO2026
Vertex energies of splitting and shadow graphs
Harshitha A, Madhumitha K, Sabitha D'Souza
Graph energy has been widely investigated in spectral graph theory. However, the manner in which this energy is distributed among individual vertices has received attention only mo…
math.CO2025
On Spectral Properties of Lanzhou Matrix of Graphs
Madhumitha K, Harshitha A, Swati Nayak +1
Let be a simple graph on vertices. Lanzhou index is defined as In this manuscript, the Lanzhou matrix, denot…