Autobiography of Mircea V. Diudea
M.
DIUDEA
Babes-Bolyai University, Cluj, Romania
author
text
article
2011
eng
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
2
v.
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
no.
2011
1
5
http://ijmc.kashanu.ac.ir/article_5132_542962ee079744a160a8f465da981586.pdf
Hyperdiamonds: a Topological View
M.
DIUDEA
“Babes-Bolyai” University, Romania
author
A.
ILIĆ
University of Niš,
Serbia
author
M.
MEDELEANU
University “Politehnica”
Timisoara, Romania
author
text
article
2011
eng
Hyperdiamonds are covalently bonded fullerenes in crystalline forms, more or less related to diamond, and having a significant amount of sp3 carbon atoms. Design of several hypothetical crystal networks was performed by using our original software programs CVNET and NANO-STUDIO. The topology of the networks is described in terms of the net parameters and several counting polynomials, calculated by NANO-STUDIO, OMEGA and PI software programs.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
2
v.
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
no.
2011
7
29
http://ijmc.kashanu.ac.ir/article_5162_9974b6f2617e306680ac7ca9131b449a.pdf
dx.doi.org/10.22052/ijmc.2011.5162
Evaluation of the Mineral Contents in Fish Meal by FT- NIR using PLS and Kernel PLS
S.
MASOUM
University of Kashan,
I. R. IRAN
author
A.
ALISHAHI
Department of Fisheries and Environmental Science, Tehran University, Karaj, IRAN
author
M.
SHEKARCHI
Tehran University, IRAN
author
H.
FARAHMAND
Sanitary Ministry of Iran, IRAN
author
text
article
2011
eng
In the present work we study the use of Fourier transform near infrared spectroscopy (FTNIRS) technique to analysis the calcium (Ca), phosphorus (P) and copper (Cu) contents of fish meal. The regression methods employed were partial least squares (PLS) and kernel partial least squares (KPLS). The results showed that the efficiency of KPLS was better than PLS. As a whole, the application of FT-NIRS with PLS and KPLS was as a suitable option for replacing the routine chemical analysis to assess the mineral content in fish meal, allowing immediate control of the fish meal without prior sample treatment or destruction.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
2
v.
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
no.
2011
31
38
http://ijmc.kashanu.ac.ir/article_5163_28dfda8b8cd531f153602fa22ca08baa.pdf
dx.doi.org/10.22052/ijmc.2011.5163
Eccentric and Total Eccentric Connectivity Indices of Caterpillars
KH.
FATHALIKHANI
University of Tehran, Tehran, Iran
author
H.
YOUSEFI-AZARI
University of Tehran, Iran
author
text
article
2011
eng
Consider a simple connected graph with the vertex set . The eccentric and total connectivity indices of are defined as Σ and Σ , respectively. Here, denotes the degree of a vertex and is its eccentricity. In this paper, these two indices are calculated for a given arbitrary caterpillar.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
2
v.
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
no.
2011
39
44
http://ijmc.kashanu.ac.ir/article_5164_5eab17f138e0f73210f23c5b0adcbc49.pdf
dx.doi.org/10.22052/ijmc.2011.5164
Energy and Wiener Index of Zero-Divisor Graphs
M.
AHMADI
University
of Kashan, I. R. Iran
author
R.
JAHANI-NEZHAD
University
of Kashan, I. R. Iran
author
text
article
2011
eng
Let R be a commutative ring and (R) be its zerodivisor graph. In this article, we study Wiener index and energy of Γ(Zn ) where n = pq or n = p2q and p, q are primes. A MATLAB code for our calculations is also presented.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
2
v.
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
no.
2011
45
51
http://ijmc.kashanu.ac.ir/article_5166_d13709db3d3b7a37193dd283d8f6696f.pdf
dx.doi.org/10.22052/ijmc.2011.5166
The Clar Number of Fullerene C24n and Carbon Nanocone CNC4[n]
M.
GHORBANI
Shahid Rajaee Teacher Training
University, I. R. Iran
author
E.
NASERPOUR
Shahid Rajaee Teacher Training
University, I. R. Iran
author
text
article
2011
eng
A fullerene graph is a 3−connected planar graph whose faces are pentagons and hexagons. The Clar number of a fullerene is the maximum size of sextet patterns, the sets of disjoint hexagons which are all M-alternating for a Kekulé structure M of F. An exact formula of Clar number of some fullerene graphs and a class of carbon nanocones are obtained in this paper.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
2
v.
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
no.
2011
53
59
http://ijmc.kashanu.ac.ir/article_5168_497b64ea009a4954544694dc1fdc09b7.pdf
dx.doi.org/10.22052/ijmc.2011.5168
The Eccentric Connectivity Index of Some Special Graphs
M.
IRANMANESH
Yazd University, Iran
author
R.
HAFEZIEH
Yazd University, Iran
author
text
article
2011
eng
If is a connected graph with vertex set , then the eccentric connectivity index of , , is defined as Σ deg where deg is the degree of a vertex and is its eccentricity. Let A, B and C are families of graphs made by joining to , made by putting instead of each vertex in and made by putting instead of each vertex in , respectively. In this paper we compute the eccentric connectivity index of these families of graphs.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
2
v.
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
no.
2011
61
65
http://ijmc.kashanu.ac.ir/article_5169_5b44cd85146f77aa944ddc562bf0add2.pdf
dx.doi.org/10.22052/ijmc.2011.5169
Further Results on Wiener Polarity Index of Graphs
A.
BEHMARAM
University of Tehran,
I. R. Iran
author
H.
YOUSEFI-AZARI
Institute for Research in Fundamental Sciences (IPM), I. R. Iran
author
text
article
2011
eng
The Wiener polarity index Wp(G) of a molecular graph G of order n is the number of unordered pairs of vertices u, v of G such that the distance d(u,v) between u and v is 3. In an earlier paper, some extremal properties of this graph invariant in the class of catacondensed hexagonal systems and fullerene graphs were investigated. In this paper, some new bounds for this graph invariant are presented. A relationship between Wiener and Wiener polarity index of some classes of graphs are also presented.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
2
v.
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
no.
2011
67
70
http://ijmc.kashanu.ac.ir/article_5170_ec5326da713aad93a04c35d905351ba2.pdf
dx.doi.org/10.22052/ijmc.2011.5170
Hosoya Polynomial of an Infinite Family of Dendrimer Nanostar
CH.
ESLAHCHI
Shahid Beheshti University, Iran
author
S.
ALIKHANI
Yazd University, Iran
author
M.
AKHBARI
Islamic Azad University, Estahban Branch, Estahban, Iran
author
text
article
2011
eng
Let G be a simple graph. The Hosoya polynomial of G is ( , ) , ( , ) = { , } ( ) xd u v H G x u v V G where d(u,v) denotes the distance between vertices u and v . The dendrimer nanostar is a part of a new group of macromolecules. In this paper we compute the Hosoya polynomial for an infinite family of dendrimer nanostar. As a consequence we obtain the Wiener index and the hyper-Wiener index of this dendrimer.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
2
v.
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
no.
2011
71
79
http://ijmc.kashanu.ac.ir/article_5171_d7afdc71a1f11f23e5c5555ed15965bf.pdf
dx.doi.org/10.22052/ijmc.2011.5171
On the Spectra of Reduced Distance Matrix of Thorn Graphs
A.
HEYDARI
Arak Branch, Islamic Azad University, Arak, Iran
author
text
article
2011
eng
Let G be a simple connected graph and {v1, v2, …, vk} be the set of pendent (vertices of degree one) vertices of G. The reduced distance matrix of G is a square matrix whose (i,j)– entry is the topological distance between vi and vj of G. In this paper, we obtain the spectrum of the reduced distance matrix of thorn graph of G, a graph which obtained by attaching some new vertices to pendent vertices of G. As an application we compute the spectrum of reduced distance matrix for some dendrimer graphs.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
2
v.
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
no.
2011
81
87
http://ijmc.kashanu.ac.ir/article_5172_53f42679383c642229cfeea0f630e490.pdf
dx.doi.org/10.22052/ijmc.2011.5172
On the General Sum–Connectivity Co–Index of Graphs
G.
SU
Beijing Institute of Technology, P. R. China
author
L.
XU
Changji University, P. R. China
author
text
article
2011
eng
In this paper, a new molecular-structure descriptor, the general sum–connectivity co–index is considered, which generalizes the first Zagreb co–index and the general sum– connectivity index of graph theory. We mainly explore the lower and upper bounds in terms of the order and size for this new invariant. Additionally, the Nordhaus–Gaddum–type result is also represented.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
2
v.
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
no.
2011
89
98
http://ijmc.kashanu.ac.ir/article_5173_d154da6922ebac74f4671c7b5af8d008.pdf
dx.doi.org/10.22052/ijmc.2011.5173
Distance Property of Fullerenes
A.
GRAOVAC
University of Split, Croatia
author
O.
ORI
Via Casilina Rome, Italy
author
M.
FAGHANI
University of Kashan, I. R. Iran
author
A.
ASHRAFI
University of Kashan, I. R. Iran
author
text
article
2011
eng
Fullerenes are closed−cage carbon molecules formed by 12 pentagonal and n/2 – 10 hexagonal faces, where n is the number of carbon atoms. Patrick Fowler in his lecture in MCC 2009 asked about the Wiener index of fullerenes in general. In this paper we respond partially to this question for an infinite class of fullerenes with exactly 10n carbon atoms. Our method is general and can be applied to fullerene graphs with centrosymmetric adjacency matrix.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
2
v.
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
no.
2011
99
107
http://ijmc.kashanu.ac.ir/article_5174_a4f7e3d101aca42bffedccebfe768ede.pdf
dx.doi.org/10.22052/ijmc.2011.5174
Computing Some Topological Indices of Tensor Product of Graphs
Z.
YARAHMADI
Khorramabad Branch, Islamic Azad University, I. R. Iran
author
text
article
2011
eng
A topological index of a molecular graph G is a numeric quantity related to G which is invariant under symmetry properties of G. In this paper we obtain the Randić, geometricarithmetic, first and second Zagreb indices , first and second Zagreb coindices of tensor product of two graphs and then the Harary, Schultz and modified Schultz indices of tensor product of a graph G with complete graph of order n are obtained.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
2
v.
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
no.
2011
109
118
http://ijmc.kashanu.ac.ir/article_5175_c563e2473a6d4006667114ee0582be34.pdf
dx.doi.org/10.22052/ijmc.2011.5175