Turkish Journal of Mathematics
DOI
10.3906/mat-2102-86
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 $JB_{n}$. We obtain the adjacency, Laplacian and signless Laplacian characteristic polynomials of $JB_{n}$, respectively. We lastly give inequalities for the adjacency, Laplacian and signless Laplacian energies of $JB_{n}$.
Keywords
Adjacency matrix, Fibonomial graph, balance-binomial graph, spectral characterization, graph energy
First Page
1649
Last Page
1659
Recommended Citation
TOPCU, HATİCE and YÜCEL, NURTEN
(2021)
"On the spectra of generalized Fibonomial and Jacobsthal-binomial graphs,"
Turkish Journal of Mathematics: Vol. 45:
No.
4, Article 13.
https://doi.org/10.3906/mat-2102-86
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss4/13
