2018-12-11T06:58:35Z
http://jmathnano.sru.ac.ir/?_action=export&rf=summon&issue=115
Journal of Mathematical Nanoscience
J. Math. Nanosci.
2016
6
1
Some topological indices of fluorographene
P.
Padmapriya
Veena
Mathad
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
2016
06
01
1
16
http://jmathnano.sru.ac.ir/article_498_5df4decb8565760f253fa3dfbf0503dc.pdf
Journal of Mathematical Nanoscience
J. Math. Nanosci.
2016
6
1
On the energy of fullerene graphs
Mahin
Songhori
Modjtaba
Ghorbani
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
2016
06
01
17
26
http://jmathnano.sru.ac.ir/article_499_faa8e7b92578011860e34d3297b957c0.pdf
Journal of Mathematical Nanoscience
J. Math. Nanosci.
2016
6
1
New version of degree-based topological indices of certain nanotube
Vijayalaxmi
Shigehalli
Rachanna
Kanabur
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
2016
06
01
27
40
http://jmathnano.sru.ac.ir/article_510_b57b3788f3a5c827266b7158bf794149.pdf
Journal of Mathematical Nanoscience
J. Math. Nanosci.
2016
6
1
A study on Landau levels in thin films
Fatemeh
Ahmadi
Mehdi
Saadat
Zainab
Bahrampori
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
2016
06
01
41
46
http://jmathnano.sru.ac.ir/article_515_24e353151333ae49fb40c018acc636da.pdf
Journal of Mathematical Nanoscience
J. Math. Nanosci.
2016
6
1
Computing Degree-Based Topological Indices of Polyhex Nanotubes
Vijayalaxmi
Shigehalli
Rachanna
Kanabur
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
2016
06
01
47
55
http://jmathnano.sru.ac.ir/article_525_176ac125da5ece92fd8e1dfd11484f60.pdf
Journal of Mathematical Nanoscience
J. Math. Nanosci.
2016
6
1
Vertex weighted Laplacian graph energy and other topological indices
Reza
Sharafdini
Habibeh
Panahbar
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
2016
06
01
57
65
http://jmathnano.sru.ac.ir/article_524_a66841304a42378bd6981419a07ab559.pdf