Hypercube Related Polytopes
M.
Diudea
Babes-Bolyai University, Cluj, Romania
author
text
article
2018
eng
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.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
9
v.
1
no.
2018
1
8
http://ijmc.kashanu.ac.ir/article_54283_c8f8c9ffcbc23f8dfa542dbfc2a3a8d4.pdf
dx.doi.org/10.22052/ijmc.2017.101019.1318
General Theory of Cycle-Dependence of Total pi-Electron Energy
I.
Gutman
Faculty of Science, University of Kragujevac, Kragujevac, Serbia
author
text
article
2018
eng
The theoretical treatment of cycle-effects on total pi-electron energy, mainly elaborated by Nenad Trinajstic and his research group, is re-stated in a general and more formal manner. It enables to envisage several other possible ways of measuring the cycle-effects and points at further directions of research.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
9
v.
1
no.
2018
9
16
http://ijmc.kashanu.ac.ir/article_54503_13f8767d02456a19a5b7a8c6affb8c32.pdf
dx.doi.org/10.22052/ijmc.2017.83263.1285
More inequalities for Laplacian indices by way of majorization
J.
Palacios
The University of New Mexico, Albuquerque, NM 87131, USA
author
text
article
2018
eng
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.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
9
v.
1
no.
2018
17
24
http://ijmc.kashanu.ac.ir/article_54880_d880ee06482840ddf89dd87e9a57f1b2.pdf
dx.doi.org/10.22052/ijmc.2017.100951.1317
Fractal-Like Kinetics Study of Adsorption on Multi-walled Carbon Nanotube
H.
Bashiri
University of Kashan
author
A.
Sahjari
University of Kashan
author
text
article
2018
eng
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.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
9
v.
1
no.
2018
25
35
http://ijmc.kashanu.ac.ir/article_54881_f0448acb456b2617e794659a8e401a55.pdf
dx.doi.org/10.22052/ijmc.2017.48936.1175
On common neighborhood graphs II
A.
Hamzeh
Tarbiat Modares University
author
A.
Iranmanesh
Tarbiat Modares University
author
S.
Hossein-Zadeh
Tarbiat Modares University
author
M.
Hosseinzadeh
Tarbiat Modares University
author
I.
Gutman
University of Kragujevac
author
text
article
2018
eng
Let G be a simple graph with vertex set V (G). The common neighborhood graph or congraph of G, denoted by con(G), is a graph with vertex set V (G), in which two vertices are adjacent if and only if they have at least one common neighbor in G. We compute the congraphs of some composite graphs. Using these results, the congraphs of several special graphs are determined.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
9
v.
1
no.
2018
37
46
http://ijmc.kashanu.ac.ir/article_55313_8c66633a3d6bc9e712ed2dae39f03636.pdf
dx.doi.org/10.22052/ijmc.2017.53463.1195
On the Eccentric Connectivity Index of Unicyclic Graphs
Y.
Nacaroğlu
Department of Mathematics, Faculty of Science, Selcuk University
author
A.
Maden
Department of Mathematics, Faculty of Science, Selcuk University
author
text
article
2018
eng
In this paper, we obtain the upper and lower bounds on the eccen- tricity connectivity index of unicyclic graphs with perfect matchings. Also we give some lower bounds on the eccentric connectivity index of unicyclic graphs with given matching numbers.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
9
v.
1
no.
2018
47
56
http://ijmc.kashanu.ac.ir/article_55332_90df2cb067f37b466f182b9336756750.pdf
dx.doi.org/10.22052/ijmc.2017.59425.1231
A Note on Revised Szeged Index of Graph Operations
N.
Dehgardi
Sirjan University of Technology
author
text
article
2018
eng
Let $G$ be a finite and simple graph with edge set $E(G)$. The revised Szeged index is defined as $Sz^{*}(G)=\sum_{e=uv\in E(G)}(n_u(e|G)+\frac{n_{G}(e)}{2})(n_v(e|G)+\frac{n_{G}(e)}{2}),$ where $n_u(e|G)$ denotes the number of vertices in $G$ lying closer to $u$ than to $v$ and $n_{G}(e)$ is the number of equidistant vertices of $e$ in $G$. In this paper, we compute the revised Szeged index of the join and corona product of graphs.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
9
v.
1
no.
2018
57
63
http://ijmc.kashanu.ac.ir/article_55333_c6c9bd64629c680d2b0b41431ef49496.pdf
dx.doi.org/10.22052/ijmc.2017.58647.1228