eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2011-04-01
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
7
29
10.22052/ijmc.2011.5162
5162
Hyperdiamonds: a Topological View
M. DIUDEA
1
A. ILIĆ
2
M. MEDELEANU
3
“Babes-Bolyai” University, Romania
University of Niš, Serbia
University “Politehnica” Timisoara, Romania
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.
http://ijmc.kashanu.ac.ir/article_5162_9974b6f2617e306680ac7ca9131b449a.pdf
Hyperdiamond
Crystal-like network
Molecular topology
Counting polynomial
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2011-04-01
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
31
38
10.22052/ijmc.2011.5163
5163
Evaluation of the Mineral Contents in Fish Meal by FT- NIR using PLS and Kernel PLS
S. MASOUM
1
A. ALISHAHI
2
M. SHEKARCHI
3
H. FARAHMAND
4
University of Kashan, I. R. IRAN
Department of Fisheries and Environmental Science, Tehran University, Karaj, IRAN
Tehran University, IRAN
Sanitary Ministry of Iran, IRAN
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.
http://ijmc.kashanu.ac.ir/article_5163_28dfda8b8cd531f153602fa22ca08baa.pdf
Calcium
Phosphorus
copper
Fish meal
FT-NIRS
KPLS
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2011-04-01
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
39
44
10.22052/ijmc.2011.5164
5164
Eccentric and Total Eccentric Connectivity Indices of Caterpillars
KH. FATHALIKHANI
1
H. YOUSEFI-AZARI
2
University of Tehran, Tehran, Iran
University of Tehran, Iran
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.
http://ijmc.kashanu.ac.ir/article_5164_5eab17f138e0f73210f23c5b0adcbc49.pdf
eccentric connectivity index
Total eccentricity index
Caterpillar
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2011-04-01
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
45
51
10.22052/ijmc.2011.5166
5166
Energy and Wiener Index of Zero-Divisor Graphs
M. AHMADI
1
R. JAHANI-NEZHAD
2
University of Kashan, I. R. Iran
University of Kashan, I. R. Iran
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.
http://ijmc.kashanu.ac.ir/article_5166_d13709db3d3b7a37193dd283d8f6696f.pdf
zero-divisor graph
Energy
Wiener index
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2011-04-01
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
53
59
10.22052/ijmc.2011.5168
5168
The Clar Number of Fullerene C24n and Carbon Nanocone CNC4[n]
M. GHORBANI
1
E. NASERPOUR
2
Shahid Rajaee Teacher Training University, I. R. Iran
Shahid Rajaee Teacher Training University, I. R. Iran
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.
http://ijmc.kashanu.ac.ir/article_5168_497b64ea009a4954544694dc1fdc09b7.pdf
Fullerene
Clar number
Sextet pattern
Carbon Nanotube
Kekulé structure
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2011-04-01
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
61
65
10.22052/ijmc.2011.5169
5169
The Eccentric Connectivity Index of Some Special Graphs
M. IRANMANESH
1
R. HAFEZIEH
2
Yazd University, Iran
Yazd University, Iran
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.
http://ijmc.kashanu.ac.ir/article_5169_5b44cd85146f77aa944ddc562bf0add2.pdf
eccentric connectivity index
Graph
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2011-04-01
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
67
70
10.22052/ijmc.2011.5170
5170
Further Results on Wiener Polarity Index of Graphs
A. BEHMARAM
1
H. YOUSEFI-AZARI
2
University of Tehran, I. R. Iran
Institute for Research in Fundamental Sciences (IPM), I. R. Iran
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.
http://ijmc.kashanu.ac.ir/article_5170_ec5326da713aad93a04c35d905351ba2.pdf
Fullerene graph
Wiener index
Wiener polarity index
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2011-04-01
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
71
79
10.22052/ijmc.2011.5171
5171
Hosoya Polynomial of an Infinite Family of Dendrimer Nanostar
CH. ESLAHCHI
1
S. ALIKHANI
2
M. AKHBARI
3
Shahid Beheshti University, Iran
Yazd University, Iran
Islamic Azad University, Estahban Branch, Estahban, Iran
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.
http://ijmc.kashanu.ac.ir/article_5171_d7afdc71a1f11f23e5c5555ed15965bf.pdf
Hosoya polynomial
Wiener index
Dendrimer nanostar
diameter
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2011-04-01
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
81
87
10.22052/ijmc.2011.5172
5172
On the Spectra of Reduced Distance Matrix of Thorn Graphs
A. HEYDARI
1
Arak Branch, Islamic Azad University, Arak, Iran
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.
http://ijmc.kashanu.ac.ir/article_5172_53f42679383c642229cfeea0f630e490.pdf
Reduced distance matrix
spectrum
Thorn graph
Dendrimer graphs
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2011-04-01
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
89
98
10.22052/ijmc.2011.5173
5173
On the General Sum–Connectivity Co–Index of Graphs
G. SU
1
L. XU
2
Beijing Institute of Technology, P. R. China
Changji University, P. R. China
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.
http://ijmc.kashanu.ac.ir/article_5173_d154da6922ebac74f4671c7b5af8d008.pdf
General sum–connectivity co–index
First Zagreb co–index
Lower and upper bounds
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2011-04-01
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
99
107
10.22052/ijmc.2011.5174
5174
Distance Property of Fullerenes
A. GRAOVAC
1
O. ORI
2
M. FAGHANI
3
A. ASHRAFI
4
University of Split, Croatia
Via Casilina Rome, Italy
University of Kashan, I. R. Iran
University of Kashan, I. R. Iran
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.
http://ijmc.kashanu.ac.ir/article_5174_a4f7e3d101aca42bffedccebfe768ede.pdf
Fullerene
Wiener index
Centrosymmetric matrix
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2011-04-01
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
109
118
10.22052/ijmc.2011.5175
5175
Computing Some Topological Indices of Tensor Product of Graphs
Z. YARAHMADI
1
Khorramabad Branch, Islamic Azad University, I. R. Iran
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.
http://ijmc.kashanu.ac.ir/article_5175_c563e2473a6d4006667114ee0582be34.pdf
topological index
tensor product