Access provided by College of Technology and Engineering, Udaipur
Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Atom Bond Connectivity Indices of Jahangir Graphs (Jn,m)


Affiliations
1 Department of Mathematics, Karnatak Arts College, Dharwad - 580001, Karnataka, India
     

   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
Notifications
Font Size


  • 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: 29

PDF Views: 0




  • Atom Bond Connectivity Indices of Jahangir Graphs (Jn,m)

Abstract Views: 29  |  PDF Views: 0

Authors

Keerthi G. Mirajkar
Department of Mathematics, Karnatak Arts College, Dharwad - 580001, Karnataka, India
Bhagyashri R. Doddamani
Department of Mathematics, Karnatak Arts College, Dharwad - 580001, Karnataka, India

Abstract


In this paper, we determine the first four types of atom bond connectivity indices of Jahangir graphs.

Keywords


Jahangir Graphs, Atom Bond Connectivity Indices.

References