@article {
author = {Liu, Hechao and You, Lihua and Tang, Zikai},
title = {On the revised edge-Szeged index of graphs},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {10},
number = {4},
pages = {279-293},
year = {2019},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2019.200349.1460},
abstract = {The revised edge-Szeged index of a connected graph $G$ is defined as Sze*(G)=∑e=uv∊E(G)( (mu(e|G)+(m0(e|G)/2)(mv(e|G)+(m0(e|G)/2) ), where mu(e|G), mv(e|G) and m0(e|G) are, respectively, the number of edges of G lying closer to vertex u than to vertex v, the number of edges of G lying closer to vertex v than to vertex u, and the number of edges equidistant to u and v. In this paper, we give an effective method for computing the revised edge-Szeged index of unicyclic graphs and using this result we identify the minimum revised edge-Szeged index of conjugated unicyclic graphs (i.e., unicyclic graphs with a perfect matching). We also give a method of calculating revised edge-Szeged index of the joint graph.},
keywords = {Revised edge-Szeged index,Conjugated unicyclic graph,Join graph},
url = {https://ijmc.kashanu.ac.ir/article_102191.html},
eprint = {https://ijmc.kashanu.ac.ir/article_102191_dd77ab587a307bd7e4971623d96ef182.pdf}
}
@article {
author = {Ghorbani, Modjtaba and Rahmani, Shaghayegh and Ori, Ottorino},
title = {On the Graovac-Ghorbani index},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {10},
number = {4},
pages = {295-305},
year = {2019},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2019.169508.1420},
abstract = {For the edge e = uv of a graph G, let nu = n(u|G) be the number of vertices of G lying closer to the vertex u than to the vertex v and nv= n(v|G) can be defined simailarly. Then the ABCGG index of G is defined as ABCGG =\sum_{e=uv} \sqrt{f(u,v)}, where f(u,v)= (nu+nv-2)/nunvThe aim of this paper is to give some new results on this graph invariant. We also calculate the ABCGG of an infinite family of fullerenes.},
keywords = {Atom bond connectivity index,Molecular graphs,topological index},
url = {https://ijmc.kashanu.ac.ir/article_102447.html},
eprint = {https://ijmc.kashanu.ac.ir/article_102447_320bebdec70cf381ee9f7a601e0ce167.pdf}
}
@article {
author = {Azari, Mahdieh and Falahati-Nezhed, Farzaneh},
title = {Some Results on Forgotten Topological Coindex},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {10},
number = {4},
pages = {307-318},
year = {2019},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2019.174722.1432},
abstract = {The forgotten topological coindex (also called Lanzhou index) is defined for a simple connected graph G as the sum of the terms du2+dv2 over all non-adjacent vertex pairs uv of G, where du denotes the degree of the vertex u in G. In this paper, we present some inequalities for the forgotten topological coindex in terms of some graph parameters such as the order, size, number of pendent vertices, minimal and maximal vertex degrees, and minimal non-pendent vertex degree. We also study the relation between this invariant and some well-known graph invariants such as the Zagreb indices and coindices, multiplicative Zagreb indices and coindices, Zagreb eccentricity indices, eccentric connectivity index and coindex, and total eccentricity. Exact formulae for computing the forgotten topological coindex of double graphs and extended double cover of a given graph are also proposed.},
keywords = {vertex degree,Bound,graph invariant},
url = {https://ijmc.kashanu.ac.ir/article_102512.html},
eprint = {https://ijmc.kashanu.ac.ir/article_102512_f335e16389378c0cec788b4cc1719e46.pdf}
}
@article {
author = {Hayat, Fazal},
title = {On generalized atom-bond connectivity index of cacti},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {10},
number = {4},
pages = {319-330},
year = {2019},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2019.195759.1456},
abstract = {The generalized atom-bond connectivity index of a graph G is denoted by ABCa(G) and defined as the sum of weights ((d(u)+d(v)-2)/d(u)d(v))aa$ over all edges uv∊G. A cactus is a graph in which any two cycles have at most one common vertex. In this paper, we compute sharp bounds for ABCa index for cacti of order $n$ with fixed number of cycles and for cacti of order $n$ with given number of pendant vertices. Furthermore, we identify all the cacti that achieve the bounds.},
keywords = {Atom-bond connectivity index,Cactus,Extremal graph,Pendant vertices},
url = {https://ijmc.kashanu.ac.ir/article_102513.html},
eprint = {https://ijmc.kashanu.ac.ir/article_102513_935bc1ec217d14c2928b98f54b69e2c5.pdf}
}
@article {
author = {Havare, Ozge},
title = {QSPR Analysis with Curvilinear Regression Modeling and Topological Indices},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {10},
number = {4},
pages = {331-341},
year = {2019},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2019.191865.1448},
abstract = {Topological indices are the real number of a molecular structure obtained via molecular graph G. Topological indices are used for QSPR, QSAR and structural design in chemistry, nanotechnology, and pharmacology. Moreover, physicochemical properties such as the boiling point, the enthalpy of vaporization, and stability can be estimated by QSAR/QSPR models. In this study, the QSPR (Quantitative Structure-Property Relationship) models were designed using the Gutman index, the product connectivity Banhatti index, the Variance of degree index, and the Sigma index to predict the thermodynamic properties of monocarboxylic acids. The relationship analyses between the thermodynamic properties and the topological indices were done by using the curvilinear regression method. It is used with the linear, quadratic and cubic equations of the curvilinear regression model. These regression models were then compared.},
keywords = {Gutman Index,Product connectivity Banhatti index,Variance of degree index,Sigma index,QSPR},
url = {https://ijmc.kashanu.ac.ir/article_102514.html},
eprint = {https://ijmc.kashanu.ac.ir/article_102514_07ce16949e9353fa46630d934daf4926.pdf}
}
@article {
author = {Short, Taylor and Ash, Zachary},
title = {The number of maximal matchings in polyphenylene chains},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {10},
number = {4},
pages = {343-360},
year = {2019},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2019.191800.1447},
abstract = {A matching is maximal if no other matching contains it as a proper subset. Maximal matchings model phenomena across many disciplines, including applications within chemistry. In this paper, we study maximal matchings in an important class of chemical compounds: polyphenylenes. In particular, we determine the extremal polyphenylene chains in regards to the number of maximal matchings. We also determine recurrences and generating functions for the sequences enumerating maximal matchings in several specific types of polyphenylenes and use these results to analyze the asymptotic behavior.},
keywords = {Matching,maximal,polyphenylene chain},
url = {https://ijmc.kashanu.ac.ir/article_102515.html},
eprint = {https://ijmc.kashanu.ac.ir/article_102515_9b04a5b392e022baa61e816c10095e99.pdf}
}