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math.CO2026
On graphs with equal domination and total domination numbers
Sudip Bera
For a graph without isolated vertices, . While graphs attaining have been studied extensively, a complete structural description in the sm…
math.CO2026
On the finite group whose proper enhanced power graph is claw-free
Sudip Bera, Andrea Lucchini
Let be a finite group. The \emph{enhanced power graph} of , denoted by , is the graph with vertex set in which two vertices and are adjacent if a…