ORIGINAL_ARTICLE
Bounds for the Co-PI index of a graph
In this paper, we present some inequalities for the Co-PI index involving the some topological indices, the number of vertices and edges, and the maximum degree. After that, we give a result for trees. In addition, we give some inequalities for the largest eigenvalue of the Co-PI matrix of G.
https://ijmc.kashanu.ac.ir/article_8923_8d3d8f796557f8a3f0ae41e7b0dbc854.pdf
2015-03-01T11:23:20
2020-08-07T11:23:20
1
13
10.22052/ijmc.2015.8923
Co-PI index
Co-PI matrix
Co-PI spectral radius
E.
Kaya
kaya_ezgi@windowslive.com
true
1
Igdir University
Science and Literature Faculty
Department of Mathematics
Igdir University
Science and Literature Faculty
Department of Mathematics
Igdir University
Science and Literature Faculty
Department of Mathematics
AUTHOR
A. D.
Maden
aysedilekmaden@selcuk.edu.tr
true
2
Selcuk University
Science Faculty
Department of Mathematics
Selcuk University
Science Faculty
Department of Mathematics
Selcuk University
Science Faculty
Department of Mathematics
LEAD_AUTHOR
ORIGINAL_ARTICLE
Relationship between topological indices and thermodynamic properties and of the monocarboxylic acids applications in QSPR
Topological indices are the numerical value associated with chemical constitution purporting for correlation of chemical structure with various physical properties, chemical reactivity or biological activity. Graph theory is a delightful playground for the exploration of proof techniques in Discrete Mathematics and its results have applications in many areas of sciences. One of the useful indices for examination of structure- property relationship is Randic' index. In this study is represented the relationship between the Randic', Balaban and Szeged indices and Harary numbers to the enthalpies of combustion ( liquid), enthalpies of vaporization( gas), enthalpies of formation ( liquid) and enthalpies of sublimation ( ) of monocarboxylic acids (C2- C20) are established, and then, some useful topological indices for examination of the structure- property relationship are presented.
https://ijmc.kashanu.ac.ir/article_8944_42c0fe9fb5ea15ff42c016263779416c.pdf
2015-03-01T11:23:20
2020-08-07T11:23:20
15
28
10.22052/ijmc.2015.8944
Topological indices
Graph theory
Monocarboxylic acid
QSPR
F.
Shafiei
shafa38@yahoo.com
true
1
Department of Chemistry, Science Faculty, Arak Branch, Islamic Azad University, Arak, Iran
Department of Chemistry, Science Faculty, Arak Branch, Islamic Azad University, Arak, Iran
Department of Chemistry, Science Faculty, Arak Branch, Islamic Azad University, Arak, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
On the distance based indices of H-phenylenic nanotorus
Let G be a connected simple (molecular) graph. The distance d(u, v) between two vertices u and v of G is equal to the length of a shortest path that connects u and v. In this paper we compute some distance based topological indices of H-Phenylenic nanotorus. At first we obtain an exact formula for the Wiener index. As application we calculate the Schultz index and modified Schultz index of this graph by using the Wiener index. Finally we compute eccentric connectivity index of this graph
https://ijmc.kashanu.ac.ir/article_9043_d3e21a0a3a8b343631cc8cf5213944e7.pdf
2015-03-01T11:23:20
2020-08-07T11:23:20
29
39
10.22052/ijmc.2015.9043
Wiener index
Schultz index
Modified Schultz index
eccentric connectivity index
H-Phenylenic Nanotorus
A.
Heydari
a-heidari@iau-arak.ac.ir
true
1
Department of Science, Arak University of Technology, Arak, Iran
Department of Science, Arak University of Technology, Arak, Iran
Department of Science, Arak University of Technology, Arak, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
On the harmonic index and harmonic polynomial of Caterpillars with diameter four
The harmonic index H(G) , of a graph G is defined as the sum of weights 2/(deg(u)+deg(v)) of all edges in E(G), where deg (u) denotes the degree of a vertex u in V(G). In this paper we define the harmonic polynomial of G. We present explicit formula for the values of harmonic polynomial for several families of specific graphs and we find the lower and upper bound for harmonic index in Caterpillars withf diameter 4.
https://ijmc.kashanu.ac.ir/article_9044_a7d924dff91432835709ad82ca38516a.pdf
2015-03-01T11:23:20
2020-08-07T11:23:20
41
49
10.22052/ijmc.2015.9044
Harmonic index
Harmonic polynomial
Randić index
M.
Iranmanesh
iranmanesh@yazd.ac.ir
true
1
Department of Mathematics, Yazd University, 89195741, Yazd, Iran
Department of Mathematics, Yazd University, 89195741, Yazd, Iran
Department of Mathematics, Yazd University, 89195741, Yazd, Iran
LEAD_AUTHOR
M.
Saheli
mahboubeh.saheli@gmail.com
true
2
Department of Mathematics, Yazd University, 89195741, Yazd, Iran
Department of Mathematics, Yazd University, 89195741, Yazd, Iran
Department of Mathematics, Yazd University, 89195741, Yazd, Iran
AUTHOR
ORIGINAL_ARTICLE
A new approach to compute acyclic chromatic index of certain chemical structures
An acyclic edge coloring of a graph is a proper edge coloring such that there are no bichromatic cycles. The acyclic chromatic index of a graph $G$ denoted by $chi_a '(G)$ is the minimum number $k$ such that there is an acyclic edge coloring using $k$ colors. The maximum degree in $G$ denoted by $Delta(G)$, is the lower bound for $chi_a '(G)$. $P$-cuts introduced in this paper acts as a powerful tool to prove that this bound is sharp for certain chemical structures.
https://ijmc.kashanu.ac.ir/article_9056_8441113ee648b7051f3b05875d262234.pdf
2015-03-01T11:23:20
2020-08-07T11:23:20
51
61
10.22052/ijmc.2015.9056
Acyclic edge-coloring
Acyclic chromatic index
Maximum degree
Certain chemical structures
I.
Rajasingh
indrarajasingh@yahoo.co.in
true
1
School of Advanced Sciences, VIT University, Chennai-600127, India
School of Advanced Sciences, VIT University, Chennai-600127, India
School of Advanced Sciences, VIT University, Chennai-600127, India
AUTHOR
R.
Rajan
vprsundar@gmail.com
true
2
School of Advanced Sciences, VIT University, Chennai-600127, India
School of Advanced Sciences, VIT University, Chennai-600127, India
School of Advanced Sciences, VIT University, Chennai-600127, India
AUTHOR
D.
Paul
paul.d.joe@gmail.com
true
3
School of Advanced Sciences, VIT University, Chennai-600127, India
School of Advanced Sciences, VIT University, Chennai-600127, India
School of Advanced Sciences, VIT University, Chennai-600127, India
LEAD_AUTHOR
ORIGINAL_ARTICLE
The matching interdiction problem in dendrimers
The purpose of the matching interdiction problem in a weighted graph is to find two vertices such that the weight of the maximum matching in the graph without these vertices is minimized. An approximate solution for this problem has been presented. In this paper, we consider dendrimers as graphs such that the weights of edges are the bond lengths. We obtain the maximum matching in some types of dendrimers. Then, it is shown that proportion of difference of two optimal and approximate answers from the weight of maximum matching in these dendrimers is equal to the maximum value.
https://ijmc.kashanu.ac.ir/article_9063_fea4b1375d823d14772cf6721875a36f.pdf
2015-03-01T11:23:20
2020-08-07T11:23:20
63
79
10.22052/ijmc.2015.9063
Matching
Interdiction
Dendrimer
G.
Shirdel
shirdel81math@gmail.com
true
1
University of Qom
University of Qom
University of Qom
LEAD_AUTHOR
N.
Kahkeshani
nasrinkahkeshani@gmail.com
true
2
Ph.D. Student at University of Qom
Ph.D. Student at University of Qom
Ph.D. Student at University of Qom
AUTHOR
ORIGINAL_ARTICLE
Dynamical behavior and synchronization of chaotic chemical reactors model
In this paper, we discuss the dynamical properties of a chemical reactor model including Lyapunov exponents, bifurcation, stability of equilibrium and chaotic attractors as well as necessary conditions for this system to generate chaos. We study the synchronization of chemical reactors model via sliding mode control scheme. The stability of proposed method is proved by Barbalate’s lemma. Numerical Simulation is provided for illustration and verification of the proposed method.
https://ijmc.kashanu.ac.ir/article_9129_b06d9fe27381a69ad532999eeac3acf7.pdf
2015-03-01T11:23:20
2020-08-07T11:23:20
81
92
10.22052/ijmc.2015.9129
Chemical reactor
chaos
Synchronization
Sliding mode
H.
Kheiri
h-kheiri@tabrizu.ac.ir
true
1
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
AUTHOR
B.
Naderi
b_naderi@pnu.ac.ir
true
2
Payame Noor university
Payame Noor university
Payame Noor university
LEAD_AUTHOR