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

On the spectra of generalized Fibonomial and Jacobsthal-binomial graphs

Hatice TOPCU
Nurten YÜCEL
Sayfa
1649–1659
Yayın Tarihi
2022-11-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:We also argue the spectra of generalized Fibonomial graph.
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Sonuç & Katkı:We lastly give inequalities for the adjacency, Laplacian and signless Laplacian energies of JBn .
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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Kaynakça (17)

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