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arXiv · 2604.00040

Graph Energies of Generalized and Shadow-Splitting Graphs

Ronak B. Dudhat·Vinodray J. Kaneria·Kalpesh M. Popat
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Abstract

We extend the notions of the m-splitting graph Sm(G) and the m-shadow graph Dm(G) to introduce two new graph operations: the (p, q)-generalized splitting graph Sp,q(G) and the (c, k)-shadow-splitting graph Hc,k(G). We derive the adjacency energy of these constructions and as an application, identify several new infinite families of equienergetic and borderenergetic graphs.

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Ronak B. Dudhat, Vinodray J. Kaneria, Kalpesh M. Popat. 2026-03-27. Graph Energies of Generalized and Shadow-Splitting Graphs. https://arxiv.org/abs/2604.00040

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