@Article{Ghorbani2011,
author="Ghorbani, M.",
title="A Survey on Omega Polynomial of Some Nano Structures",
journal="Iranian Journal of Mathematical Chemistry",
year="2011",
volume="2",
number="2",
pages="1-65",
abstract="",
issn="2228-6489",
doi="10.22052/ijmc.2011.5136",
url="http://ijmc.kashanu.ac.ir/article_5136.html"
}
@Article{TAVAKOLI2011,
author="TAVAKOLI, M.
and YOUSEFI-AZARI, H.",
title="Remarks on Distance-Balanced Graphs",
journal="Iranian Journal of Mathematical Chemistry",
year="2011",
volume="2",
number="2",
pages="67-71",
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.",
issn="2228-6489",
doi="10.22052/ijmc.2011.5176",
url="http://ijmc.kashanu.ac.ir/article_5176.html"
}
@Article{ASTANEH-ASL2011,
author="ASTANEH-ASL, A.
and FATH-TABAR, GH. H.",
title="Computing the First and Third Zagreb Polynomials of Cartesian Product of Graphs",
journal="Iranian Journal of Mathematical Chemistry",
year="2011",
volume="2",
number="2",
pages="73-78",
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.",
issn="2228-6489",
doi="10.22052/ijmc.2011.5177",
url="http://ijmc.kashanu.ac.ir/article_5177.html"
}
@Article{SADRIIRANI2011,
author="SADRI IRANI, Z.
and KARBASIOUN, A.",
title="Wiener Index of a New Type of Nanostar Dendrimer",
journal="Iranian Journal of Mathematical Chemistry",
year="2011",
volume="2",
number="2",
pages="79-85",
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.",
issn="2228-6489",
doi="10.22052/ijmc.2011.5215",
url="http://ijmc.kashanu.ac.ir/article_5215.html"
}
@Article{MOTTAGHI2011,
author="MOTTAGHI, A.
and MEHRANIAN, Z.",
title="PI, Szeged and Revised Szeged Indices of IPR Fullerenes",
journal="Iranian Journal of Mathematical Chemistry",
year="2011",
volume="2",
number="2",
pages="87-99",
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.",
issn="2228-6489",
doi="10.22052/ijmc.2011.5216",
url="http://ijmc.kashanu.ac.ir/article_5216.html"
}
@Article{YARAHMADI2011,
author="YARAHMADI, Z.",
title="A Note on the First Geometric-Arithmetic Index of Hexagonal Systems and Phenylenes",
journal="Iranian Journal of Mathematical Chemistry",
year="2011",
volume="2",
number="2",
pages="101-108",
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.",
issn="2228-6489",
doi="10.22052/ijmc.2011.5217",
url="http://ijmc.kashanu.ac.ir/article_5217.html"
}
@Article{MORADI2011,
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",
year="2011",
volume="2",
number="2",
pages="109-117",
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.",
issn="2228-6489",
doi="10.22052/ijmc.2011.5218",
url="http://ijmc.kashanu.ac.ir/article_5218.html"
}