Shahid Rajaee Teacher Training UniversityJournal of Discrete Mathematics and Its Applications2981-080941-220140601On the spectrum of Cayley graphs via character table11147710.22061/jmns.2014.477ENFarzanehNowrooziDepartment of Mathematics, Faculty of Science, Shahid RajaeeTeacher Training University, Tehran, 16785 – 136, I R. IranModjtabaGhorbaniDepartment of Mathematics, Faculty of Science, Shahid RajaeeTeacher Training University, Tehran, 16785 – 136, I R. IranJournal Article20130706A Cayley graph can be consider as an interpretation of group representation. This means that one can construct the Cayley graph Г = Cay(G, S) by having the vertex set to be the elements of G with g~h if and only if hg<sup>-1</sup> ε S. In this paper, we focus our attention on Cayley graphs with a normal symmetric subset. We also determine all eigenvalues of Buckminster fullerene by constructing Cay(G,S) where G is the alternating group A<sub>5</sub>.https://jdma.sru.ac.ir/article_477_166922038b274bc7128566c1e2ce4b98.pdfShahid Rajaee Teacher Training UniversityJournal of Discrete Mathematics and Its Applications2981-080941-220140601Augmented eccentric connectivity index of Fullerenes131847810.22061/jmns.2014.478ENRezaSharafdiniDepartment of Mathematics, Faculty of Science, Persian Gulf University0000-0002-3171-2209Journal Article20131119Fullerenes are carbon-cage molecules in which a number of carbon atoms are bonded in a nearly spherical configuration. The augmented eccentric connectivity index of graph G is defined as £(G)=∑<sub>u εV(G)</sub>M(u)ε(u)<sup>-1</sup>, where ε(u) is defined as the length of a maximal path connecting u to another vertex of G and M(u) denotes the product of degrees of all eighbors of vertex u. In the present paper , we compute the augmented eccentric connectivity index of two classes of fullerenes C<sub>12n+2</sub> and C<sub>20n+40</sub>.<br /><br />https://jdma.sru.ac.ir/article_478_800b8677745303e8ee086eaa27425650.pdfShahid Rajaee Teacher Training UniversityJournal of Discrete Mathematics and Its Applications2981-080941-220140601Differences between Wiener and modified Wiener indices192547910.22061/jmns.2014.479ENMardjanHakimi-NezhaadDepartment of Mathematics, Faculty of Science, Shahid Rajaee
Teacher Training University, Tehran, 16785 – 136, I R. IranModjtabaGhorbaniDepartment of Mathematics, Faculty of Science, Shahid Rajaee
Teacher Training University, Tehran, 16785 – 136, I R. IranJournal Article20130930The Wiener index is the oldest topological index introduced by H. Wiener for anticipating the boiling point of Paraffin and some other alkenes. An algebraic approach for generalizing the Wiener index is proposed by Graovac and Pisanski for the first time. In this paper, we compute the difference between these topological indices for a class of fullerene graphs.https://jdma.sru.ac.ir/article_479_3b5f1f807f52f598f7054c36fd451058.pdfShahid Rajaee Teacher Training UniversityJournal of Discrete Mathematics and Its Applications2981-080941-220140601Computing the energy of small fullerenes273648110.22061/jmns.2014.481ENTayebehGhorbaniInstitute of Nanoscience and Nanotechnology, University of Kashan,
8731751167 Kashan, I. R IranJournal Article20131111The concept of energy of graph is defined in 1978 by Ivan Gutman as the sum of the absolute values of the eigenvalues of a graph. In this article we estimate the energy of small fullerenes.https://jdma.sru.ac.ir/article_481_ad953d6c600cc97fbb128a5a439ce631.pdfShahid Rajaee Teacher Training UniversityJournal of Discrete Mathematics and Its Applications2981-080941-220140601On the Zagreb indices of overfull molecular graphs374448210.22061/jmns.2014.482ENMaryamJalali-RadDepartment of Pure Mathematics, Faculty of Mathematical Sciences,
University of Kashan, Kashan, I. R. IranJournal Article20140104Let G be a connected graph on n vertices. An overfull graph is a graph whose number of its edges is greater than Δ × [n/2], where Δ is the maximum degree of vertices in G. In this paper, we compute the Zagreb indices of overfull molecular graphs.https://jdma.sru.ac.ir/article_482_989e2f8c1e53a06f95bc290282b465f4.pdfShahid Rajaee Teacher Training UniversityJournal of Discrete Mathematics and Its Applications2981-080941-220140618Spectral properties of some matrices related to topological indices455066810.22061/jmns.2014.668ENSamanehZangiDepartment of Mathematics, Faculty of Science, Shahid Rajaee
Teacher Training University, Tehran, 16785 – 136, I R. IranJournal Article20140212A topological index is a kind of molecular descriptor which anticipates some properties of chemical compound. The aim of this paper is to compute the spectrum of PA adjacency matrix associated to a well-known topological index.https://jdma.sru.ac.ir/article_668_e939142adc188a0351eb71391bf9ea23.pdf