eng
Shahid Rajaee Teacher Training University
Journal of Mathematical Nanoscience
2538-2314
2538-2314
2016-06-01
6
1
1
16
10.22061/jmns.2016.498
498
Some topological indices of fluorographene
P. Padmapriya
1
Veena Mathad
veena_mathad@rediffmail.com
2
Department of Studies in Mathematics University of Mysore, Manasagangotri Mysuru - 570 006, INDIA
Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysuru570 006, INDIA
ABC index, ABC4 index, Randic connectivity index, Sum connectivity index, GA index, GA5 index, harmonic index, second zagreb index and AZI of Fluorographene are computed.
http://jmathnano.sru.ac.ir/article_498_5df4decb8565760f253fa3dfbf0503dc.pdf
vertex degree
neighborhood vertex
eng
Shahid Rajaee Teacher Training University
Journal of Mathematical Nanoscience
2538-2314
2538-2314
2016-06-01
6
1
17
26
10.22061/jmns.2016.499
499
On the energy of fullerene graphs
Mahin Songhori
1
Modjtaba Ghorbani
mghorbani@srttu.edu
2
Srtt University
Srtt University
The concept of energy of graph is defined as the sum of the absolute values of the eigenvalues of a graph. Let λ1, λ2, . . . , λn be eigenvalues of graph G, then the energy of G is defined as E (G) =∑nn=1|λه|. The aim of this paper is to compute the eigenvalues of two fullerene graphs C60 and C80.
http://jmathnano.sru.ac.ir/article_499_faa8e7b92578011860e34d3297b957c0.pdf
eigenvalue
fullerene
graph energy
eng
Shahid Rajaee Teacher Training University
Journal of Mathematical Nanoscience
2538-2314
2538-2314
2016-06-01
6
1
27
40
10.22061/jmns.2016.510
510
New version of degree-based topological indices of certain nanotube
Vijayalaxmi Shigehalli
shigehallivs@yahoo.co.in
1
Rachanna Kanabur
2
Department of Mathematics, Rani Channamma University, Belagavi - 591156, Karnataka, India
Department of Mathematics, Rani Channamma University, Belagavi - 591156, Karnataka, India
In this paper, computation of the Arithmetic-Geometric index (AG1 index), SK index, SK1 index and SK2 index of H-Naphtalenic nanotube and TUC4[m,n] nanotube. We also compute SK3 index, AG2 index for H-Naphtalenic nanotube and TUC4[m,n] nanotube.
http://jmathnano.sru.ac.ir/article_510_b57b3788f3a5c827266b7158bf794149.pdf
Arithmetic-Geometric index (AG1 index)
SK index
SK1 index
SK2 index
SK3 index
AG2 index
H-naphtalenic nanotube
TUC4[m
n] nanotube
eng
Shahid Rajaee Teacher Training University
Journal of Mathematical Nanoscience
2538-2314
2538-2314
2016-06-01
6
1
41
46
10.22061/jmns.2016.515
515
A study on Landau levels in thin films
Fatemeh Ahmadi
1
Mehdi Saadat
2
Zainab Bahrampori
3
Department of Physics, Shahid Rajaee Teacher Training University
Department of Physics, Shahid Rajaee Teacher Training University
Department of Physics, Shahid Rajaee Teacher Training University
In this paper, we study the energy levels of an electron moving in a thin film. This film is considered as a two-dimensional electron gas which is under the influence of a uniform external magnetic field B and a uniform external electric field E. Here, the magnetic field is perpendicular to the film. Also, in this paper, we have selected the Landau gauge, because this gauge is useful for working in rectangular geometries.
http://jmathnano.sru.ac.ir/article_515_24e353151333ae49fb40c018acc636da.pdf
thin film
landau gauge
energy levels
wavefunctions
eng
Shahid Rajaee Teacher Training University
Journal of Mathematical Nanoscience
2538-2314
2538-2314
2016-06-01
6
1
47
55
10.22061/jmns.2016.525
525
Computing Degree-Based Topological Indices of Polyhex Nanotubes
Vijayalaxmi Shigehalli
shigehallivs@yahoo.co.in
1
Rachanna Kanabur
rachukanabur@gmail.com
2
Rani Channamma University, Belagavi-591156, Karnataka, India.
RANI CHANNAMMA University, BELAGAVI-591156
Recently, Shigehalli and Kanabur [20] have put forward for new degree based topological indices, namely Arithmetic-Geometric index (AG1 index), SK index, SK1 index and SK2 index of a molecular graph G. In this paper, we obtain the explicit formulae of these indices for Polyhex Nanotube without the aid of a computer.
http://jmathnano.sru.ac.ir/article_525_176ac125da5ece92fd8e1dfd11484f60.pdf
Chemical graph
Degree-Based Topological Indices
Polyhex Nanotube
eng
Shahid Rajaee Teacher Training University
Journal of Mathematical Nanoscience
2538-2314
2538-2314
2016-06-01
6
1
57
65
10.22061/jmns.2016.524
524
Vertex weighted Laplacian graph energy and other topological indices
Reza Sharafdini
sharafdini@gmail.com
1
Habibeh Panahbar
panahb@gmail.com
2
Persian Gulf University
Department of Mathematics, Faculty of Science, Persian Gulf University, Bushehr 7516913817, I. R. Iran
Let $G$ be a graph with a vertex weight $omega$ and the vertices $v_1,ldots,v_n$. The Laplacian matrix of $G$ with respect to $omega$ is defined as $L_omega(G)=diag(omega(v_1),cdots,omega(v_n))-A(G)$, where $A(G)$ is the adjacency matrix of $G$. Let $mu_1,cdots,mu_n$ be eigenvalues of $L_omega(G)$. Then the Laplacian energy of $G$ with respect to $omega$ defined as $LE_omega (G)=sum_{i=1}^nbig|mu_i - overline{omega}big|$, where $overline{omega}$ is the average of $omega$, i.e., $overline{omega}=dfrac{sum_{i=1}^{n}omega(v_i)}{n}$. In this paper we consider several natural vertex weights of $G$ and obtain some inequalities between the ordinary and Laplacian energies of $G$ with corresponding vertex weights. Finally, we apply our results to the molecular graph of toroidal fullerenes (or achiral polyhex nanotorus).[5mm] noindenttextbf{Key words:} Energy of graph, Laplacian energy, Vertex weight, Topological index, toroidal fullerenes.
http://jmathnano.sru.ac.ir/article_524_a66841304a42378bd6981419a07ab559.pdf
energy of graph
Laplacian energy
Vertex weight
Topological index
toroidal fullerenes