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Journals / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 4

On the spectra of generalized Fibonomial and Jacobsthal-binomial graphs

Hatice TOPCU
Nurten YÜCEL
Pages
1649–1659
Publication Date
2022-11-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We lastly give inequalities for the adjacency, Laplacian and signless Laplacian energies of JBn .

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we first give a more general form of the binomial, Fibonomial, and balance-binomial graphs that is called generalized Fibonomial graph.
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Key Findings & Data:We also argue the spectra of generalized Fibonomial graph.
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Conclusion & Impact:We lastly give inequalities for the adjacency, Laplacian and signless Laplacian energies of JBn .
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this work, we first give a more general form of the binomial, Fibonomial, and balance-binomial graphs that is called generalized Fibonomial graph. We also argue the spectra of generalized Fibonomial graph. Next, we introduce a new type of graph on Jacobsthal numbers that is called Jacobsthal-binomial graph and denoted by JBn . We obtain the adjacency, Laplacian and signless Laplacian characteristic polynomials of JBn , respectively. We lastly give inequalities for the adjacency, Laplacian and signless Laplacian energies of JBn .

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Cite This Article

TOPCU, H., YÜCEL, N. (2022). On the spectra of generalized Fibonomial and Jacobsthal-binomial graphs. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 4, 1649–1659. https://ajindex.com/articles/607389

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