eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2018-03-01
9
1
1
8
10.22052/ijmc.2017.101019.1318
54283
Hypercube Related Polytopes
M. Diudea
diudea@gmail.com
1
Babes-Bolyai University, Cluj, Romania
Body centered structures are used as seeds for a variety of structures of rank 3 and higher. Propellane based structures are introduced and their design and topological properties are detailed.
http://ijmc.kashanu.ac.ir/article_54283_c8f8c9ffcbc23f8dfa542dbfc2a3a8d4.pdf
polyhedron
n-polytope
24-cell
propellane
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2018-03-01
9
1
9
16
10.22052/ijmc.2017.83263.1285
54503
General Theory of Cycle-Dependence of Total pi-Electron Energy
I. Gutman
gutman@kg.ac.rs
1
Faculty of Science, University of Kragujevac, Kragujevac, Serbia
The theoretical treatment of cycle-effects on total pi-electron energy,<br /><br /> mainly elaborated by Nenad Trinajstic and his research group, is<br /><br /> re-stated in a general and more formal manner. It enables to envisage several<br /><br /> other possible ways of measuring the cycle-effects and points at further<br /><br /> directions of research.
http://ijmc.kashanu.ac.ir/article_54503_13f8767d02456a19a5b7a8c6affb8c32.pdf
Total pi-electron energy
topological resonance energy
energy-effect of cycle
aromaticity
Sachs theorem
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2018-03-01
9
1
17
24
10.22052/ijmc.2017.100951.1317
54880
More inequalities for Laplacian indices by way of majorization
J. Palacios
jpalacios@unm.edu
1
The University of New Mexico, Albuquerque, NM 87131, USA
The n-tuple of Laplacian characteristic values of a graph is majorized by the conjugate sequence of its degrees. Using that result we find a collection of general inequalities for a number of Laplacian indices expressed in terms of the conjugate degrees, and then with a maximality argument, we find tight general bounds expressed in terms of the size of the vertex set n and the average degree dG = 2|E|/n. We also find some particular tight bounds for some classes of graphs in terms of customary graph parameters.
http://ijmc.kashanu.ac.ir/article_54880_d880ee06482840ddf89dd87e9a57f1b2.pdf
Laplacian indices
conjugate sequence
majorization
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2018-03-01
9
1
25
35
10.22052/ijmc.2017.48936.1175
54881
Fractal-Like Kinetics Study of Adsorption on Multi-walled Carbon Nanotube
H. Bashiri
hbashiri@kashanu.ac.ir
1
A. Sahjari
shajariadele@yahoo.com
2
University of Kashan
University of Kashan
The fractal degree of adsorption on the multi-walled carbon nanotube has been investigated. The fractal-like Langmuir kinetics model has been used to obtain the fractal degree of ion adsorption on multi-walled carbon nanotube. The behavior of the fractal-like kinetics equation was compared with some famous rate equations like Langmuir, pseudo-first-order and pseudo-second-order equations. It is shown that the kinetic of adsorption onto multi-walled carbon nanotube can be used to obtain its spectral dimension, successfully.
http://ijmc.kashanu.ac.ir/article_54881_f0448acb456b2617e794659a8e401a55.pdf
Multi-walled carbon nanotube
Spectral dimension
Fractal-like Langmuir model
Kinetics equation
Adsorption
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2018-03-01
9
1
37
46
10.22052/ijmc.2017.53463.1195
55313
On common neighborhood graphs II
A. Hamzeh
hamze2006@yahoo.com
1
A. Iranmanesh
iranmanesh@modares.ac.ir
2
S. Hossein-Zadeh
hosseinzadeh.samaneh@yahoo.com
3
M. Hosseinzadeh
ma.hoseinzade@gmail.com
4
I. Gutman
gutman@kg.ac.rs
5
Tarbiat Modares University
Tarbiat Modares University
Tarbiat Modares University
Tarbiat Modares University
University of Kragujevac
Let G be a simple graph with vertex set V (G). The common neighborhood graph or<br /> congraph of G, denoted by con(G), is a graph with vertex set V (G), in which two vertices<br /> are adjacent if and only if they have at least one common neighbor in G. We compute the<br /> congraphs of some composite graphs. Using these results, the congraphs of several special<br /> graphs are determined.
http://ijmc.kashanu.ac.ir/article_55313_8c66633a3d6bc9e712ed2dae39f03636.pdf
Common neighborhood graph
congraph
Mycielski graph
shadow graph
Haj´os join
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2018-03-01
9
1
47
56
10.22052/ijmc.2017.59425.1231
55332
On the Eccentric Connectivity Index of Unicyclic Graphs
Y. Nacaroğlu
yasarnacar@hotmail.com
1
A. Maden
aysedilekmaden@selcuk.edu.tr
2
Department of Mathematics, Faculty of Science, Selcuk University
Department of Mathematics, Faculty of Science, Selcuk University
In this paper, we obtain the upper and lower bounds on the eccen-<br /> tricity connectivity index of unicyclic graphs with perfect matchings. Also we<br /> give some lower bounds on the eccentric connectivity index of unicyclic graphs<br /> with given matching numbers.
http://ijmc.kashanu.ac.ir/article_55332_90df2cb067f37b466f182b9336756750.pdf
unicyclic graph
eccentric connectivity index
matching numbers
perfect matching
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2018-03-01
9
1
57
63
10.22052/ijmc.2017.58647.1228
55333
A Note on Revised Szeged Index of Graph Operations
N. Dehgardi
n.dehgardi@sirjantech.ac.ir
1
Sirjan University of Technology
Let $G$ be a finite and simple graph with edge set $E(G)$. The revised Szeged index is defined as<br /> $Sz^{*}(G)=sum_{e=uvin E(G)}(n_u(e|G)+frac{n_{G}(e)}{2})(n_v(e|G)+frac{n_{G}(e)}{2}),$<br /> where $n_u(e|G)$ denotes the number of vertices in $G$ lying closer to $u$ than to $v$ and <br /> $n_{G}(e)$ is the number of<br /> equidistant vertices of $e$ in $G$. <br /> In this paper, we compute the revised Szeged index of the<br /> join and corona product of graphs.
http://ijmc.kashanu.ac.ir/article_55333_c6c9bd64629c680d2b0b41431ef49496.pdf
index of graphs
revised Szeged index
graph operations
eng
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
2018-03-01
9
1
65
75
10.22052/ijmc.2017.88790.1294
55795
Weak chemical hyperstructures associated to electrochemical cells
M. Al Tahan
madeline.tahan@liu.edu.lb
1
B. Davvaz
davvaz@yazd.ac.ir
2
Lebanese International University
Yazd University
Algebraic hyperstructures have many applications in various sciences. The main purpose of this paper is to provide a new application of weak hyperstructures in Chemistry. More precisely, we present three different examples of hyperstructures associated to electrochemical cells. In which we prove that our hyperstructures are Hv-semigroups and we present some interesting results.
http://ijmc.kashanu.ac.ir/article_55795_08e59993d03ec6a0c0b968c95364f2a3.pdf
Hv-semigroup
complete part
fundamental relation
Galvanic cell
Electrolytic cell