• N. Jansirani
• AJ.Sherine
• V.R.Dare

The graph energy is a graph spectrum based quantity introduced in 1970’s and the Laplacian spectrum has been applied to Machine Learning. Laplacian Energy (LE), LE like invariant, Skew LE, Normalized LE, Signless LE and Signless Laplacian Resolvent Energy are studied and some of these energies are extended to a special (4,2) graph. Basic facts of some of these energies are discussed and finally, significant difference between Energy and Laplacian Energies are analyzed. Further from Pyramid Fibonacci graph Ripples Hamiltonian graphs are considered and studied

Energy, Fibonacci, Golden Ratio, Hamiltonian, Ripples.

"Energy of Pyramid Fibonacci and Ripples Hamiltonian Graphs", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.12, Issue 12, page no.b13-b20, December-2025, Available :http://www.jetir.org/papers/JETIR2512103.pdf

"Energy of Pyramid Fibonacci and Ripples Hamiltonian Graphs", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.12, Issue 12, page no. ppb13-b20, December-2025, Available at : http://www.jetir.org/papers/JETIR2512103.pdf