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math.CO2026
On the Generating Graph of Finite Abelian Groups
Kavita Samant, A. Satyanarayana Reddy
The generating graph of a group is the graph whose vertex set is , where two distinct vertices are adjacent if and only if they generate . In this paper, we system…
math.CO2025
Spectral Bounds of the Generating Graph of
Kavita Samant, A. Satyanarayana Reddy
Let be a group. A group is said to be -generated if it can be generated by its elements. A generating set of is called a minimal generating set if no proper subset o…