2020-08-12T02:05:30Z
https://ijmc.kashanu.ac.ir/?_action=export&rf=summon&issue=859
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2011
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
Autobiography of Mircea V. Diudea
M.
DIUDEA
2011
04
01
1
5
https://ijmc.kashanu.ac.ir/article_5132_542962ee079744a160a8f465da981586.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2011
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
Hyperdiamonds: a Topological View
M.
DIUDEA
A.
ILIĆ
M.
MEDELEANU
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.
Hyperdiamond
Crystal-like network
Molecular topology
Counting polynomial
2011
04
01
7
29
https://ijmc.kashanu.ac.ir/article_5162_9974b6f2617e306680ac7ca9131b449a.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2011
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
Evaluation of the Mineral Contents in Fish Meal by FT- NIR using PLS and Kernel PLS
S.
MASOUM
A.
ALISHAHI
M.
SHEKARCHI
H.
FARAHMAND
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.
Calcium
Phosphorus
copper
Fish meal
FT-NIRS
KPLS
2011
04
01
31
38
https://ijmc.kashanu.ac.ir/article_5163_28dfda8b8cd531f153602fa22ca08baa.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2011
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
Eccentric and Total Eccentric Connectivity Indices of Caterpillars
KH.
FATHALIKHANI
H.
YOUSEFI-AZARI
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.
eccentric connectivity index
Total eccentricity index
Caterpillar
2011
04
01
39
44
https://ijmc.kashanu.ac.ir/article_5164_5eab17f138e0f73210f23c5b0adcbc49.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2011
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
Energy and Wiener Index of Zero-Divisor Graphs
M.
AHMADI
R.
JAHANI-NEZHAD
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.
zero-divisor graph
Energy
Wiener index
2011
04
01
45
51
https://ijmc.kashanu.ac.ir/article_5166_d13709db3d3b7a37193dd283d8f6696f.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2011
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
The Clar Number of Fullerene C24n and Carbon Nanocone CNC4[n]
M.
GHORBANI
E.
NASERPOUR
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.
Fullerene
Clar number
Sextet pattern
Carbon Nanotube
Kekulé structure
2011
04
01
53
59
https://ijmc.kashanu.ac.ir/article_5168_497b64ea009a4954544694dc1fdc09b7.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2011
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
The Eccentric Connectivity Index of Some Special Graphs
M.
IRANMANESH
R.
HAFEZIEH
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.
eccentric connectivity index
Graph
2011
04
01
61
65
https://ijmc.kashanu.ac.ir/article_5169_5b44cd85146f77aa944ddc562bf0add2.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2011
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
Further Results on Wiener Polarity Index of Graphs
A.
BEHMARAM
H.
YOUSEFI-AZARI
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.
Fullerene graph
Wiener index
Wiener polarity index
2011
04
01
67
70
https://ijmc.kashanu.ac.ir/article_5170_ec5326da713aad93a04c35d905351ba2.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2011
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
Hosoya Polynomial of an Infinite Family of Dendrimer Nanostar
CH.
ESLAHCHI
S.
ALIKHANI
M.
AKHBARI
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.
Hosoya polynomial
Wiener index
Dendrimer nanostar
diameter
2011
04
01
71
79
https://ijmc.kashanu.ac.ir/article_5171_d7afdc71a1f11f23e5c5555ed15965bf.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2011
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
On the Spectra of Reduced Distance Matrix of Thorn Graphs
A.
HEYDARI
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.
Reduced distance matrix
spectrum
Thorn graph
Dendrimer graphs
2011
04
01
81
87
https://ijmc.kashanu.ac.ir/article_5172_53f42679383c642229cfeea0f630e490.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2011
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
On the General Sum–Connectivity Co–Index of Graphs
G.
SU
L.
XU
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.
General sum–connectivity co–index
First Zagreb co–index
Lower and upper bounds
2011
04
01
89
98
https://ijmc.kashanu.ac.ir/article_5173_d154da6922ebac74f4671c7b5af8d008.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2011
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
Distance Property of Fullerenes
A.
GRAOVAC
O.
ORI
M.
FAGHANI
A.
ASHRAFI
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.
Fullerene
Wiener index
Centrosymmetric matrix
2011
04
01
99
107
https://ijmc.kashanu.ac.ir/article_5174_a4f7e3d101aca42bffedccebfe768ede.pdf
Iranian Journal of Mathematical Chemistry
Iranian J. Math. Chem.
2228-6489
2228-6489
2011
2
Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)
Computing Some Topological Indices of Tensor Product of Graphs
Z.
YARAHMADI
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.
topological index
tensor product
2011
04
01
109
118
https://ijmc.kashanu.ac.ir/article_5175_c563e2473a6d4006667114ee0582be34.pdf