ORIGINAL_ARTICLE
Autobiography of IVAN GUTMAN
https://ijmc.kashanu.ac.ir/article_5128_025fbe1e83d02f1fe8cb43b602da986f.pdf
2010-04-01T11:23:20
2020-08-12T11:23:20
1
4
10.22052/ijmc.2010.5128
I.
GUTMAN
gutman@kg.ac.rs
true
1
University of Kragujevac, Serbia
University of Kragujevac, Serbia
University of Kragujevac, Serbia
LEAD_AUTHOR
ORIGINAL_ARTICLE
Wiener Way to Dimensionality
This note introduces a new general conjecture correlating the dimensionality dT of an infinite lattice with N nodes to the asymptotic value of its Wiener Index W(N). In the limit of large N the general asymptotic behavior W(N)≈Ns is proposed, where the exponent s and dT are related by the conjectured formula s=2+1/dT allowing a new definition of dimensionality dW=(s-2)-1. Being related to the topological Wiener index, dW is therefore called Wiener dimensionality. Successful applications of this method to various infinite lattices (like graphene, nanocones, Sierpinski fractal triangle and carpet) testify the validity of the conjecture for infinite lattices.
https://ijmc.kashanu.ac.ir/article_5150_6de0a526852fe0f62c2951d4172451bd.pdf
2010-04-01T11:23:20
2020-08-12T11:23:20
5
15
10.22052/ijmc.2010.5150
Wiener dimensionality
Sierpinski fractals
Asymptotic Wiener index
O.
ORI
true
1
Via Casilina, Italy
Via Casilina, Italy
Via Casilina, Italy
AUTHOR
F.
CATALDO
true
2
Via Casilina, Italy
Via Casilina, Italy
Via Casilina, Italy
AUTHOR
D.
VUKIČEVIĆ
true
3
University of Split, Croatia
University of Split, Croatia
University of Split, Croatia
AUTHOR
A
GRAOVAC
true
4
The R. Bošković Institute”, Croatia
The R. Bošković Institute”, Croatia
The R. Bošković Institute”, Croatia
AUTHOR
ORIGINAL_ARTICLE
On Second Geometric-Arithmetic Index of Graphs
The concept of geometric-arithmetic indices (GA) was put forward in chemical graph theory very recently. In spite of this, several works have already appeared dealing with these indices. In this paper we present lower and upper bounds on the second geometric-arithmetic index (GA2) and characterize the extremal graphs. Moreover, we establish Nordhaus-Gaddum-type results for GA2.
https://ijmc.kashanu.ac.ir/article_5151_d31456f9d3923786c6852def2bdb8952.pdf
2010-04-01T11:23:20
2020-08-12T11:23:20
17
28
10.22052/ijmc.2010.5151
Graph
Molecular Graph
First geometric-arithmetic index
Second
geometric-arithmetic index
Third geometric-arithmetic index
K.
DAS
true
1
Sungkyunkwan University, Republic of
Korea
Sungkyunkwan University, Republic of
Korea
Sungkyunkwan University, Republic of
Korea
AUTHOR
I.
GUTMAN
true
2
University of Kragujevac, Serbia
University of Kragujevac, Serbia
University of Kragujevac, Serbia
AUTHOR
B.
FURTULA
true
3
University of Kragujevac, Serbia
University of Kragujevac, Serbia
University of Kragujevac, Serbia
AUTHOR
ORIGINAL_ARTICLE
On Third Geometric-Arithmetic Index of Graphs
Continuing the work K. C. Das, I. Gutman, B. Furtula, On second geometric-arithmetic index of graphs, Iran. J. Math Chem., 1(2) (2010) 17-28, in this paper we present lower and upper bounds on the third geometric-arithmetic index GA3 and characterize the extremal graphs. Moreover, we give Nordhaus-Gaddum-type result for GA3.
https://ijmc.kashanu.ac.ir/article_5152_3f8b39102961616b12e394cdfc51c919.pdf
2010-04-01T11:23:20
2020-08-12T11:23:20
29
36
10.22052/ijmc.2010.5152
Graph
Molecular Graph
First geometric-arithmetic index
Second
geometric-arithmetic index
Third geometric-arithmetic index
K.
DAS
true
1
Sungkyunkwan University, Republic of
Korea
Sungkyunkwan University, Republic of
Korea
Sungkyunkwan University, Republic of
Korea
AUTHOR
I.
GUTMAN
true
2
University of Kragujevac, Serbia
University of Kragujevac, Serbia
University of Kragujevac, Serbia
AUTHOR
B.
FURTULA
true
3
University of Kragujevac, Serbia
University of Kragujevac, Serbia
University of Kragujevac, Serbia
AUTHOR
ORIGINAL_ARTICLE
Some New Results On the Hosoya Polynomial of Graph Operations
The Wiener index is a graph invariant that has found extensive application in chemistry. In addition to that a generating function, which was called the Wiener polynomial, who’s derivate is a q-analog of the Wiener index was defined. In an article, Sagan, Yeh and Zhang in [The Wiener Polynomial of a graph, Int. J. Quantun Chem., 60 (1996), 959969] attained what graph operations do to the Wiener polynomial. By considering all the results that Sagan et al. admitted for Wiener polynomial on graph operations for each two connected and nontrivial graphs, in this article we focus on deriving Wiener polynomial of graph operations, Join, Cartesian product, Composition, Disjunction and Symmetric difference on n graphs and Wiener indices of them.
https://ijmc.kashanu.ac.ir/article_5153_4a3a57fbc78171abaef207326e14b456.pdf
2010-04-01T11:23:20
2020-08-12T11:23:20
37
43
10.22052/ijmc.2010.5153
Wiener index
Wiener polynomial
Graph operation
H.
MOHAMADINEZHAD-RASHTI
true
1
University of Tehran, Tehran,
I. R. Iran
University of Tehran, Tehran,
I. R. Iran
University of Tehran, Tehran,
I. R. Iran
AUTHOR
H.
YOUSEFI-AZARI
true
2
University of Tehran, Tehran,
I. R. Iran
University of Tehran, Tehran,
I. R. Iran
University of Tehran, Tehran,
I. R. Iran
AUTHOR
ORIGINAL_ARTICLE
Eccentric Connectivity Index: Extremal Graphs and Values
Eccentric connectivity index has been found to have a low degeneracy and hence a significant potential of predicting biological activity of certain classes of chemical compounds. We present here explicit formulas for eccentric connectivity index of various families of graphs. We also show that the eccentric connectivity index grows at most polynomially with the number of vertices and determine the leading coefficient in the asymptotic behavior.
https://ijmc.kashanu.ac.ir/article_5154_3596a800067167a2d76a24fda346d9f6.pdf
2010-04-01T11:23:20
2020-08-12T11:23:20
45
56
10.22052/ijmc.2010.5154
eccentric connectivity index
Extremal graph
T.
DOŠLIĆ
true
1
University of Zagreb,
CROATIA
University of Zagreb,
CROATIA
University of Zagreb,
CROATIA
AUTHOR
M.
SAHELI
true
2
University of Kashan,
I. R. IRAN
University of Kashan,
I. R. IRAN
University of Kashan,
I. R. IRAN
AUTHOR
D.
VUKIČEVIĆ
true
3
University of Split , CROATIA
University of Split , CROATIA
University of Split , CROATIA
AUTHOR
ORIGINAL_ARTICLE
Some Topological Indices of Nanostar Dendrimers
Wiener index is a topological index based on distance between every pair of vertices in a graph G. It was introduced in 1947 by one of the pioneer of this area e.g, Harold Wiener. In the present paper, by using a new method introduced by klavžar we compute the Wiener and Szeged indices of some nanostar dendrimers.
https://ijmc.kashanu.ac.ir/article_5155_001f28821a3446f33adf6f54093b73d1.pdf
2010-04-01T11:23:20
2020-08-12T11:23:20
57
65
10.22052/ijmc.2010.5155
Wiener index
Szeged index
Randić index
Zagreb index
ABC Index
GA Index
Nanostar dendrimers
M.
GHORBANI
true
1
Shahid Rajaee Teacher Training
University, I. R. Iran
Shahid Rajaee Teacher Training
University, I. R. Iran
Shahid Rajaee Teacher Training
University, I. R. Iran
AUTHOR
M.
SONGHORI
true
2
Shahid Rajaee Teacher Training
University, I. R. Iran
Shahid Rajaee Teacher Training
University, I. R. Iran
Shahid Rajaee Teacher Training
University, I. R. Iran
AUTHOR
ORIGINAL_ARTICLE
Some Lower Bounds for Estrada Index
https://ijmc.kashanu.ac.ir/article_5156_b5abf6a21ef9191afd2ed2ed0e250726.pdf
2010-04-01T11:23:20
2020-08-12T11:23:20
67
72
10.22052/ijmc.2010.5156
Estrada index
Eigenvalues (of graph)
Spectral moments
Lower bounds
B.
ZHOU
true
1
South China Normal University, China
South China Normal University, China
South China Normal University, China
AUTHOR
Z.
DU
true
2
South China Normal University, China
South China Normal University, China
South China Normal University, China
AUTHOR
ORIGINAL_ARTICLE
Topological Compression Factors of 2-Dimensional TUC4C8(R) Lattices and Tori
We derived explicit formulae for the eccentric connectivity index and Wiener index of 2-dimensional square-octagonal TUC4C8(R) lattices with open and closed ends. New compression factors for both indices are also computed in the limit N-->∞.
https://ijmc.kashanu.ac.ir/article_5157_980a8f6666ab80bbd1230e6d506def34.pdf
2010-04-01T11:23:20
2020-08-12T11:23:20
73
80
10.22052/ijmc.2010.5157
2-Dimensional square-octagonal lattice
eccentric connectivity index
Wiener index
Topological compression factors
T.
DOŠLIĆ
true
1
University of Zagreb,
Croatia
University of Zagreb,
Croatia
University of Zagreb,
Croatia
AUTHOR
A.
GRAOVAC
true
2
The “Ruđer Bošković” Institute, Croatia
The “Ruđer Bošković” Institute, Croatia
The “Ruđer Bošković” Institute, Croatia
AUTHOR
D.
VUKIČEVIĆ
true
3
University of Split, Croatia
University of Split, Croatia
University of Split, Croatia
AUTHOR
F.
CATALDO
true
4
Actinium Chemical Research, Via Casilina , Italy
Actinium Chemical Research, Via Casilina , Italy
Actinium Chemical Research, Via Casilina , Italy
AUTHOR
O.
ORI
true
5
Actinium Chemical Research, Via Casilina Italy
Actinium Chemical Research, Via Casilina Italy
Actinium Chemical Research, Via Casilina Italy
AUTHOR
A.
IRANMANESH
true
6
Tarbiat Modaress University, Tehran, Iran
Tarbiat Modaress University, Tehran, Iran
Tarbiat Modaress University, Tehran, Iran
AUTHOR
A.
ASHRAFI
true
7
University of Kashan, Iran
University of Kashan, Iran
University of Kashan, Iran
AUTHOR
F.
MOFTAKHAR
true
8
University of Kashan, Iran
University of Kashan, Iran
University of Kashan, Iran
AUTHOR
ORIGINAL_ARTICLE
A Fast Approach to the Detection of All-Purpose Hubs in Complex Networks with Chemical Applications
A novel algorithm for the fast detection of hubs in chemical networks is presented. The algorithm identifies a set of nodes in the network as most significant, aimed to be the most effective points of distribution for fast, widespread coverage throughout the system. We show that our hubs have in general greater closeness centrality and betweenness centrality than vertices with maximal degree, while having comparable or higher degree than vertices with greatest closeness centrality and betweenness centrality. As such, they serve as all-purpose network hubs. Several theoretical and real world chemical and biological networks are tested and results are analyzed.
https://ijmc.kashanu.ac.ir/article_5158_e7348974c9083c796030f1b6bcb9a040.pdf
2010-04-01T11:23:20
2020-08-12T11:23:20
81
96
10.22052/ijmc.2010.5158
Chemical networks
Complex networks
Network hubs
Vertex centrality
S.
RAJTMAJER
true
1
University of Dubrovnik, Croatia
University of Dubrovnik, Croatia
University of Dubrovnik, Croatia
AUTHOR
D.
VUKIČEVIĆ
true
2
University of Split, Croatia
University of Split, Croatia
University of Split, Croatia
AUTHOR
ORIGINAL_ARTICLE
On General Sum-Connectivity Index of Benzenoid Systems and Phenylenes
https://ijmc.kashanu.ac.ir/article_5159_e8c14ffd3fcc72860fec6d79779a6925.pdf
2010-04-01T11:23:20
2020-08-12T11:23:20
97
104
10.22052/ijmc.2010.5159
General sum-connectivity index
Benzenoid systems
Phenylene
Hexagonal squeeze
SH.
CHEN
true
1
Hunan City University, P. R. China
Hunan City University, P. R. China
Hunan City University, P. R. China
AUTHOR
F.
XIA
true
2
Hunan City University, P. R. China
Hunan City University, P. R. China
Hunan City University, P. R. China
AUTHOR
J.
YANG
true
3
Hunan City University, P. R. China
Hunan City University, P. R. China
Hunan City University, P. R. China
AUTHOR
ORIGINAL_ARTICLE
Eccentric Connectivity and Augmented Eccentric Connectivity Indices of N-Branched Phenylacetylenes Nanostar Dendrimers
https://ijmc.kashanu.ac.ir/article_5160_dc269a19d114002da7214c9b5a03f9fc.pdf
2010-04-01T11:23:20
2020-08-12T11:23:20
105
110
10.22052/ijmc.2010.5160
eccentric connectivity index
Augmented eccentric connectivity index
Nanostar
Z.
YARAHMADI
true
1
Islamic Azad University, Khorramabad Branch,
I. R. Iran
Islamic Azad University, Khorramabad Branch,
I. R. Iran
Islamic Azad University, Khorramabad Branch,
I. R. Iran
AUTHOR
ORIGINAL_ARTICLE
Some Topological Indices of Tetrameric 1,3-Adamantane
Topological indices are numerical parameters of a graph which characterize its topology. In this paper the PI, Szeged and Zagreb group indices of the tetrameric 1,3–adamantane are computed.
https://ijmc.kashanu.ac.ir/article_5161_8e599d8a71d9221245ea807ae9e49da8.pdf
2010-04-01T11:23:20
2020-08-12T11:23:20
111
118
10.22052/ijmc.2010.5161
PI index
Szeged index
Zagreb index
Tetrameric 1
3–adamatane
G.
FATH–TABAR
true
1
University of Kashan, I R. Iran
University of Kashan, I R. Iran
University of Kashan, I R. Iran
AUTHOR
A.
AZAD
true
2
Arak University,
I. R. Iran
Arak University,
I. R. Iran
Arak University,
I. R. Iran
AUTHOR
N.
ELAHINEZHAD
true
3
Arak University,
I. R. Iran
Arak University,
I. R. Iran
Arak University,
I. R. Iran
AUTHOR