Open Access
Subscription Access
Open Access
Subscription Access
Atom Bond Connectivity Indices of Jahangir Graphs (Jn,m)
Subscribe/Renew Journal
In this paper, we determine the first four types of atom bond connectivity indices of Jahangir graphs.
Keywords
Jahangir Graphs, Atom Bond Connectivity Indices.
Subscription
Login to verify subscription
User
Font Size
Information
- K. Ali, E. T. Baskoro and I. Tomescu, On the Ramzey number of paths and Jahangir graph J3;m, 3rd international conference on 21st century mathematics 2007, GC University Lahoor Pakistan, (March 2007).
- S.J. Cyvin and I. Gutman, Kekule Structures in Benzenoid Hydrocarbons, Lecture Notes in Chemistry, Springer Verlag, Berlin, 46. (1988).
- M.R. Farahani, Computing a New version of Atom bond connectivity Index of circum-coronene Series of Benzenoid Hk by using Cut Method, J. Math. Nano Sci., 2. (2012)(In press).
- B. Furtula, A. Graovac and D. Vukicevic, Atom-bond connectivity index of trees, Disc. Appl. Math., 157. (2009), 2828-2835.
- M. Ghorbani and M. A. Hosseinzadeh, Computing ABC4 index of nanostar dendrimers, optoelectron. Adv. Mater. - Rapid commun., 4(9). (2010), 1419-1422.
- A. Graovac and M. Ghorbani, A New version of Atom-Bond Connectivity Index, Acta chim. Slov., 57. (2010), 609-612.
- A. Graovac, I. Gutman and N. Trinajstic, Topological Approach to the Chemistry of Conjugated Molecules, Springer Verlag, Berlin, (1977).
- A. Graovac, I. Gutman and D. Vukicevic, Eds., Mathematical Methods and Modelling for Students of Chemistry and Biology, Hum naklada, Zagreb, (2003).
- I. Gutman, Graph Theory Notes New York, 27. (1994), 9-15.
- I. Gutman and A. R. Ashra, The edge version of the Szeged Index, Croat. Chem. Acta., 81. (2008), 263-266.
- I. Gutman and O. E. Polansky, Mathematical concepts in organic chemistry, springer Verlag, Berlin, (1986).
- F. Harary, Graph Theory, Addison - Wesley, Reading, (1969).
- H. Hosoya, On Some Counting Polynomials in Chemistry, Disc. Appl. Math., 19. (1998), 239-257.
- P. V. Khadikar, S. Karmarkar and V. K. Agrawal, A novel PI index and its applications to QSPR/QSAR studies, J. chem. Inf. Comput. Sci., 41. (2001), 934-949.
- D. A. Mojdeh and A. N. Ghameshlou, Domination in Jahangir graph J2;3, Int. J. Contemp. Math. Sci., 2(24). (2007), 1193-1199.
- N. Raos and A. Milicevic, Topological indices in estimating coordination compound stability constants, Arh. Hig. Rada Toksikol, 60. (2009), 123-128.
- N. Trinajastic, Chemical Graph Theory, CRC Press, Boca Raton, FL, (1992).
- N. Trinajastic and I. Gutman, Mathematical Chemistry, Croat. Chem. Acta., 75. (2002), 329-356.
- T. S. Vassilev, L. J. Huntington, On the minimum ABC index of chemical trees, J. Appl. Math., 2. (2012), 8-16.
- H. Wiener, Structural determination of paran boiling points, J. Am, Chem. Soc., 69. (1947), 17-20.
- R. Xing, B. Zhou, Extremal trees with xed degree sequence for atom-bond connectivity index, Filomat, 26. (2012), 683-688.
- R. Xing, B. Zhou, Z. Du, Further results on atom-bond connectivity index of trees, Disc. Appl. Math., 158. (2011), 1536-1545.
- J. Yang, F. Xia, H. Cheng, The atom-bond connectivity index of Benzenoid systems and phenylenes, Int. Math. Forum., 6. (2011), 2001-2005.
Abstract Views: 331
PDF Views: 0