University of KashanIranian Journal of Mathematical Chemistry2228-64892220111201A Survey on Omega Polynomial of Some Nano Structures165513610.22052/ijmc.2011.5136ENM. GhorbaniShahid Rajaee Teacher Training
University, I. R. IranJournal Article20110901University of KashanIranian Journal of Mathematical Chemistry2228-64892220111201Remarks on Distance-Balanced Graphs6771517610.22052/ijmc.2011.5176ENM. TAVAKOLIUniversity of Tehran,
I. R. IranH. YOUSEFI-AZARIUniversity of Tehran,
I. R. IranJournal Article20140422Distance-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.University of KashanIranian Journal of Mathematical Chemistry2228-64892220111201Computing the First and Third Zagreb Polynomials of Cartesian Product of Graphs7378517710.22052/ijmc.2011.5177ENA. ASTANEH-ASLIslamic Azad University, Arak Branch,
I. R. IranGH. H.FATH-TABARUniversity of Kashan,
I. R. IranJournal Article20140422Let 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.University of KashanIranian Journal of Mathematical Chemistry2228-64892220111201Wiener Index of a New Type of Nanostar Dendrimer7985521510.22052/ijmc.2011.5215ENZ. SADRI IRANIIslamic Azad University, Falavarjan
Branch, I. R. IranA. KARBASIOUNIslamic Azad University, Falavarjan
Branch, I. R. IranJournal Article20140429Let 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.University of KashanIranian Journal of Mathematical Chemistry2228-64892220111201PI, Szeged and Revised Szeged Indices of IPR Fullerenes8799521610.22052/ijmc.2011.5216ENA. MOTTAGHIUniversity of Kashan,
I. R. IranZ. MEHRANIANUniversity of Kashan,
I. R. IranJournal Article20140429In 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.University of KashanIranian Journal of Mathematical Chemistry2228-64892220111201A Note on the First Geometric-Arithmetic Index of Hexagonal Systems and Phenylenes101108521710.22052/ijmc.2011.5217ENZ. YARAHMADIKhorramabad Branch, Islamic Azad University,
I. R. IranJournal Article20140429The 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.University of KashanIranian Journal of Mathematical Chemistry2228-64892220111201Two Types of Geometric–Arithmetic Index of V–phenylenic Nanotube109117521810.22052/ijmc.2011.5218ENS. MORADIArak University,
I. R. IranS. BABARAHIMArak University,
I. R. IranM. GHORBANIShahid Rajaee Teacher Training
University, I. R. IranJournal Article20140429The 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.