Shahid Rajaee Teacher Training University
Journal of Mathematical Nanoscience
2538-2314
6
1
2016
06
01
Some topological indices of fluorographene
1
16
EN
P.
Padmapriya
Department of Studies in Mathematics
University of Mysore, Manasagangotri
Mysuru - 570 006, INDIA
Veena
Mathad
Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysuru570
006, INDIA
veena_mathad@rediffmail.com
10.22061/jmns.2016.498
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.
vertex degree,neighborhood vertex
http://jmathnano.sru.ac.ir/article_498.html
http://jmathnano.sru.ac.ir/article_498_5df4decb8565760f253fa3dfbf0503dc.pdf
Shahid Rajaee Teacher Training University
Journal of Mathematical Nanoscience
2538-2314
6
1
2016
06
01
On the energy of fullerene graphs
17
26
EN
Mahin
Songhori
Srtt University
Modjtaba
Ghorbani
Srtt University
mghorbani@srttu.edu
10.22061/jmns.2016.499
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.
eigenvalue,fullerene,graph energy
http://jmathnano.sru.ac.ir/article_499.html
http://jmathnano.sru.ac.ir/article_499_faa8e7b92578011860e34d3297b957c0.pdf
Shahid Rajaee Teacher Training University
Journal of Mathematical Nanoscience
2538-2314
6
1
2016
06
01
New version of degree-based topological indices of certain nanotube
27
40
EN
Vijayalaxmi
Shigehalli
Department of Mathematics, Rani Channamma University, Belagavi - 591156, Karnataka,
India
shigehallivs@yahoo.co.in
Rachanna
Kanabur
Department of Mathematics, Rani Channamma University,
Belagavi - 591156, Karnataka, India
10.22061/jmns.2016.510
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.
Arithmetic-Geometric index (AG1 index),SK index,SK1 index,SK2 index,SK3 index,AG2 index,H-naphtalenic nanotube,TUC4[m,n] nanotube
http://jmathnano.sru.ac.ir/article_510.html
http://jmathnano.sru.ac.ir/article_510_b57b3788f3a5c827266b7158bf794149.pdf
Shahid Rajaee Teacher Training University
Journal of Mathematical Nanoscience
2538-2314
6
1
2016
06
01
A study on Landau levels in thin films
41
46
EN
Fatemeh
Ahmadi
Department of Physics, Shahid Rajaee Teacher Training University
Mehdi
Saadat
Department of Physics, Shahid Rajaee Teacher Training University
Zainab
Bahrampori
Department of Physics, Shahid Rajaee Teacher Training University
10.22061/jmns.2016.515
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.
thin film,landau gauge,energy levels,wavefunctions
http://jmathnano.sru.ac.ir/article_515.html
http://jmathnano.sru.ac.ir/article_515_24e353151333ae49fb40c018acc636da.pdf
Shahid Rajaee Teacher Training University
Journal of Mathematical Nanoscience
2538-2314
6
1
2016
06
01
Computing Degree-Based Topological Indices of Polyhex Nanotubes
47
55
EN
Vijayalaxmi
Shigehalli
Rani Channamma University, Belagavi-591156, Karnataka, India.
shigehallivs@yahoo.co.in
Rachanna
Kanabur
RANI CHANNAMMA University, BELAGAVI-591156
rachukanabur@gmail.com
10.22061/jmns.2016.525
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.
Chemical graph,Degree-Based Topological Indices,Polyhex Nanotube
http://jmathnano.sru.ac.ir/article_525.html
http://jmathnano.sru.ac.ir/article_525_176ac125da5ece92fd8e1dfd11484f60.pdf
Shahid Rajaee Teacher Training University
Journal of Mathematical Nanoscience
2538-2314
6
1
2016
06
01
Vertex weighted Laplacian graph energy and other topological indices
57
65
EN
Reza
Sharafdini
Persian Gulf University
sharafdini@gmail.com
Habibeh
Panahbar
Department of Mathematics, Faculty of Science, Persian Gulf University, Bushehr 7516913817,
I. R. Iran
panahb@gmail.com
10.22061/jmns.2016.524
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.
energy of graph,Laplacian energy,Vertex weight,topological index,toroidal fullerenes
http://jmathnano.sru.ac.ir/article_524.html
http://jmathnano.sru.ac.ir/article_524_a66841304a42378bd6981419a07ab559.pdf