@article {
author = {Ghorbani, M.},
title = {A Survey on Omega Polynomial of Some Nano Structures},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {2},
number = {2},
pages = {1-65},
year = {2011},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2011.5136},
abstract = {},
keywords = {Omega polynomial,Sadhana polynomial,Fullerene,Nanotube},
url = {https://ijmc.kashanu.ac.ir/article_5136.html},
eprint = {https://ijmc.kashanu.ac.ir/article_5136_c65ae1dfbe42970a246d14f5019602b5.pdf}
}
@article {
author = {TAVAKOLI, M. and YOUSEFI-AZARI, H.},
title = {Remarks on Distance-Balanced Graphs},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {2},
number = {2},
pages = {67-71},
year = {2011},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2011.5176},
abstract = {Distance-balanced graphs are introduced as graphs in which every edge uv has the following property: the number of vertices closer to u than to v is equal to the number of vertices closer to v than to u. Basic properties of these graphs are obtained. In this paper, we study the conditions under which some graph operations produce a distance-balanced graph.},
keywords = {Distance-balanced graphs,Graph operation},
url = {https://ijmc.kashanu.ac.ir/article_5176.html},
eprint = {https://ijmc.kashanu.ac.ir/article_5176_4ff1f772bd82877d5ad994685fccba27.pdf}
}
@article {
author = {ASTANEH-ASL, A. and FATH-TABAR, GH.},
title = {Computing the First and Third Zagreb Polynomials of Cartesian Product of Graphs},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {2},
number = {2},
pages = {73-78},
year = {2011},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2011.5177},
abstract = {Let G be a graph. The first Zagreb polynomial M1(G, x) and the third Zagreb polynomial M3(G, x) of the graph G are defined as: ( ) ( , ) [ ] e uv E G G x x d(u) + d(v) M1 , ( , ) euvE(G) G x x|d(u) - d(v)| M3 . In this paper, we compute the first and third Zagreb polynomials of Cartesian product of two graphs and a type of dendrimers.},
keywords = {Zagreb polynomial,Zagreb index,Graph},
url = {https://ijmc.kashanu.ac.ir/article_5177.html},
eprint = {}
}
@article {
author = {SADRI IRANI, Z. and KARBASIOUN, A.},
title = {Wiener Index of a New Type of Nanostar Dendrimer},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {2},
number = {2},
pages = {79-85},
year = {2011},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2011.5215},
abstract = {Let G be a molecular graph. The Wiener index of G is defined as the summation of all distances between vertices of G. In this paper, an exact formula for the Wiener index of a new type of nanostar dendrimer is given.},
keywords = {Nanostar dendrimer,Molecular Graph,Wiener index},
url = {https://ijmc.kashanu.ac.ir/article_5215.html},
eprint = {https://ijmc.kashanu.ac.ir/article_5215_7a81c85f695366a2e5f4ab1b29d769cf.pdf}
}
@article {
author = {MOTTAGHI, A. and MEHRANIAN, Z.},
title = {PI, Szeged and Revised Szeged Indices of IPR Fullerenes},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {2},
number = {2},
pages = {87-99},
year = {2011},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2011.5216},
abstract = {In this paper PI, Szeged and revised Szeged indices of an infinite family of IPR fullerenes with exactly 60+12n carbon atoms are computed. A GAP program is also presented that is useful for our calculations.},
keywords = {IPR fullerene,Szeged index,Revised Szeged index,PI index},
url = {https://ijmc.kashanu.ac.ir/article_5216.html},
eprint = {https://ijmc.kashanu.ac.ir/article_5216_10b5e3c03aaf7c3c4ca5df6cd7061d00.pdf}
}
@article {
author = {YARAHMADI, Z.},
title = {A Note on the First Geometric-Arithmetic Index of Hexagonal Systems and Phenylenes},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {2},
number = {2},
pages = {101-108},
year = {2011},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2011.5217},
abstract = {The first geometric-arithmetic index was introduced in the chemical theory as the summation of 2 du dv /(du dv ) overall edges of the graph, where du stand for the degree of the vertex u. In this paper we give the expressions for computing the first geometric-arithmetic index of hexagonal systems and phenylenes and present new method for describing hexagonal system by corresponding a simple graph to each hexagonal system.},
keywords = {Geometric-arithmetic index,Hexagonal system,Phenylenes},
url = {https://ijmc.kashanu.ac.ir/article_5217.html},
eprint = {https://ijmc.kashanu.ac.ir/article_5217_cf559f5adb428efd20c49b760ad4806e.pdf}
}
@article {
author = {MORADI, S. and BABARAHIM, S. and GHORBANI, M.},
title = {Two Types of Geometric–Arithmetic Index of V–phenylenic Nanotube},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {2},
number = {2},
pages = {109-117},
year = {2011},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2011.5218},
abstract = {The concept of geometric-arithmetic indices was introduced in the chemical graph theory. These indices are defined by the following general formula: ( ) 2 ( ) uv E G u v u v Q Q Q Q GA G , where Qu is some quantity that in a unique manner can be associated with the vertex u of graph G. In this paper the exact formula for two types of geometric-arithmetic index of Vphenylenic nanotube are given.},
keywords = {GA Index,V–phenylenic nanotube},
url = {https://ijmc.kashanu.ac.ir/article_5218.html},
eprint = {https://ijmc.kashanu.ac.ir/article_5218_e20ba02b0ff4677db54b056651f64a57.pdf}
}