G. Arunkumar

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20242026

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math.CO2024

Main functions and the spectrum of super graphs

G. Arunkumar, Peter J. Cameron, R. Ganeshbabu +1

Let A be a graph type and B an equivalence relation on a group $G$ . Let $[g]$ be the equivalence class of $g$ with respect to the equivalence relation B. The B superA graph of $G$ …

math.CO2024

On the spectrum of generalized H-join operation constrained by indexing maps -- I

R. Ganeshbabu, G. Arunkumar

Fix $m \in N$ . A new generalization of the $H$ -join operation of a family of graphs ${G_{1}, G_{2}, \dots, G_{k}}$ constrained by indexing maps $I_{1}, I_{2}, \dots, I_{k}$ is introduce…

math.GR2024

Super graphs on groups, II

G. Arunkumar, Peter J. Cameron, Rajat Kanti Nath

In an earlier paper, the authors considered three types of graphs, and three equivalence relations, defined on a group, viz.\ the power graph, enhanced power graph, and commuting g…