Shahid Rajaee Teacher Training UniversityJournal of Discrete Mathematics and Its Applications2981-080931-220130601On the memory of professor Ante Graovac1247110.22061/jmns.2013.471ENModjtabaGhorbaniDepartment of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785 – 136, I R. IranElahehAminifarDepartment of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785 – 136, I R. IranJournal Article20130123We pray prof Ante Graovac, a person who was hard-working and likely. He was a Croatian chemist. Prof. Dr. Graovac was born on 15 July 1945 in Split, where he finished primary school and grammar school. In 1970, he graduated in physics in Zagreb, and from then until 2010 worked at the Institute Ruder Boskovic Institute, where he spent two terms as president of the scientific council. Specializing in theoretical chemistry in 1973 passed the American University of Utah, between 1981 and 1983 he was a visiting professor at the Max-Planck Institute in Germany. In the work of prof. Dr. Ante Graovac should be emphasized contribution to the establishment of a new scientific field of application of the methods of discrete mathematics on graphs molecules. The approach is now known as "the Zagreb school of mathematical chemistry." He loved the company and its achievements in science and the result of his inexhaustible energy, intelligence, ability and determination to always do something new and something better. Graovac's most profound and difficult work is in the mathematical chemistry. He was one of the pioneers of Math Chem, along with Hosoya, Gutman, Balaban, and Randic. His friends will always remember Ante Graovac enthusiasm, his warmth and humor, and his ready wit. Ante loved to recount anecdotes from his many contacts with the great scientists of the world.https://jdma.sru.ac.ir/article_471_9a7b5787e14a9622a05a1c4f4e945e14.pdfShahid Rajaee Teacher Training UniversityJournal of Discrete Mathematics and Its Applications2981-080931-220130601Relations among the edge detour polynomials in nanotubes31247210.22061/jmns.2013.472ENSh.Safari SabetDepartment of Mathematics, Islamic Azad University Central Tehran branch,
Tehran, IranM.FarmaniDepartment of Mathematics, Islamic Azad University Central Tehran branch,
Tehran, IranO.KhormaliMathematics and Informatics Research Group, ACECR, Tarbiat Modares UniversityA.MahmianiDepartment of Mathematics, Payame Noor University, 19395-4797, Tehran, IranZ.BagheriIslamic Azad University Branch of Azadshaher, Azadshaher, IranJournal Article20120716The edge detour polynomials were recently introduced for computing the edge detour indices. In this paper, we find relations among edge detour polynomials and then, edge detour indices, by using graph theoretical techniques in molecular graphs. These relations are computed for the nanotubes TUC<sub>4</sub>C<sub>8</sub>S(S), TUC<sub>4</sub>C<sub>8</sub>S(R) and armchair polyhex nanotubes.https://jdma.sru.ac.ir/article_472_500b493ee2fe5beb389c24b9ee739212.pdfShahid Rajaee Teacher Training UniversityJournal of Discrete Mathematics and Its Applications2981-080931-220130601Effect of different morphologies of nanostructured SnO2 and their nanocomposites on sensing behavior131647310.22061/jmns.2013.473ENAzamAnaraki FiroozDepartment of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785 – 136, I R. IranJournal Article20130116This paper reviews different method for synthesis of SnO2 and their nanocomposites with various morphologies as well as the study of sensing properties of these materials. The sensing properties of these materials depend not only upon the individual components used but also on the morphology, particle size and the interfacial characteristics. Depending on the chemical nature of the analyzed gas and the electronic structure of this metal oxide, such interactions can result in either an increase or a decrease of the sensory effect. Thus, by varying the electronic structure of this metal oxide composite sensor as well as the morphology and size of the SnO2 nanoparticles, the inherent characteristics of the sensor can be changed and tailored for detection of various gases. Such findings clearly open up new opportunities for development of novel selective sensors. In this brief review, attention will be focused on changes of morphology and composition of SnO<sub>2</sub> that show dramatical effect on sensitivity of this material.https://jdma.sru.ac.ir/article_473_0d57941362dbb7c9665282d3f371ea39.pdfShahid Rajaee Teacher Training UniversityJournal of Discrete Mathematics and Its Applications2981-080931-220130601Effect of organic compounds on morphologies ZnO nanostructures172247410.22061/jmns.2013.474ENMaryamSabbaghanDepartment of Chemistry, Faculty of Science, Shahid Rajaee Teacher Training
University, P.O. Box 167855-163 Tehran, IranJournal Article20120808This paper reviews effects of organic compounds for synthesis of ZnO by reflux method as well as systematic investigation on the relationship between the structures of organic compounds on ZnO nanostructures morphology. The characteristic results revealed that using different template not only prevent a drastic increase in the crystallite size of the zinc species but also provide suitable conditions for the oriented growth of primary nanoparticles with especial morphology. It was found that the formation of ZnO with various morphologies could involve the role of preformed “nucleus” and used templates to control the growth rate of various facets of these preformed nucleuses. Depends on organic compounds and concentration of sodium hydroxide different morphologies of ZnO nanostructures were obtained. Three categories of organic compounds, carbohydrates, surfactant and ionic liquids were investigated as template.https://jdma.sru.ac.ir/article_474_61a4cf99aa4be798d40ff5b1bf16735a.pdfShahid Rajaee Teacher Training UniversityJournal of Discrete Mathematics and Its Applications2981-080931-220130601A new method for computing ABC index of nanostar dendrimers233147510.22061/jmns.2013.475ENMohammadHosseinzadehDepartment of Mathematics, Tarbiat Modarres University, P. O. Box: 14115-137,
Tehran, I. R. IranJournal Article20120412The ABC index is a topological index was defined as $ABC(G)=\sum_{uv\in E}\sqrt{(d_G (u) +d_G (v )- 2)/d_G (u)d_G (v )} $, where $d_G(u)$ denotes degree of vertex u. The second version of ABC index is defined as $ABC_2(G)=\sum_{uv\in E}\sqrt{(n_u+n_v-2)/n_un_v} $ where $n_u $is the number of vertices closer to vertex u than v. In this paper we study some properties of these new topological indices.https://jdma.sru.ac.ir/article_475_80e01f263767a10fdebdcfdb989a8a46.pdfShahid Rajaee Teacher Training UniversityJournal of Discrete Mathematics and Its Applications2981-080931-220130601Fullerene graphs with pentagons and heptagons333747610.22061/jmns.2013.476ENModjtabaGhorbaniDepartment of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785 – 136, I R. IranJournal Article20130304A fullerene is a three connected cubic planar graph. In this paper, we introduce a new class of fullerenes, with pentagonal and heptagonal rings.https://jdma.sru.ac.ir/article_476_77cc52f6327c0dec969a2d7d8d80cc7a.pdf