Table of Contents Author Guidelines Submit a Manuscript
Table of Contents Alerts

To receive news and publication updates for International Journal of Mathematics and Mathematical Sciences, enter your email address in the box below.

International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 24873, 6 pages
http://dx.doi.org/10.1155/2007/24873
Research Article

The Wiener Polynomial of the kth Power Graph

Omar A. AbuGhneim, Hasan Al-Ezeh, and Mahmoud Al-Ezeh

Department of Mathematics, Faculty of Science, University of Jordan, Amman 11942, Jordan

Received 11 March 2007; Accepted 11 June 2007

Academic Editor: Pentti Haukkanen

Copyright © 2007 Omar A. AbuGhneim et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. H. Wiener, “Structural determination of paraffin boiling points,” Journal of the American Chemical Society, vol. 69, no. 1, pp. 17–20, 1947. View at Publisher · View at Google Scholar
  2. F. Buckly and F. Harary, “Distance in Graphs,” Addison-Wesley, Redwood, Calif, USA, 1990. View at Zentralblatt MATH · View at MathSciNet
  3. I. Gutman and O. E. Polansky, “Mathematical Concepts in Organic Chemistry,” Springer, Berlin, Germany, 1986. View at Zentralblatt MATH · View at MathSciNet
  4. I. Gutman, “A new method for the calculation of the Wiener number of acyclic molecules,” Journal of Molecular Structure: THEOCHEM, vol. 285, no. 1, pp. 137–142, 1993. View at Publisher · View at Google Scholar
  5. H. Hosoya, “On some counting polynomials in chemistry,” Discrete Applied Mathematics, vol. 19, no. 1–3, pp. 239–257, 1988. View at Zentralblatt MATH · View at MathSciNet
  6. I. Gutman, “Hosoya polynomial and the distance of the total graph of a tree,” Publikacije Elektrotehničkog Fakulteta, Univerzitet u Beogradu, vol. 10, pp. 53–58, 1999. View at Zentralblatt MATH · View at MathSciNet
  7. M. Lepović and I. Gutman, “A collective property of trees and chemical trees,” Journal of Chemical Information and Modeling, vol. 38, no. 5, pp. 823–826, 1998.
  8. B. E. Sagan, Y.-N. Yen, and P. Zhang, “The Wiener polynomial of a graph,” International Journal of Quantum Chemistry, vol. 60, no. 5, pp. 959–969, 1996. View at Publisher · View at Google Scholar
  9. D. Stevanović, “Hosoya polynomial of composite graphs,” Discrete Mathematics, vol. 235, no. 1–3, pp. 237–244, 2001. View at Zentralblatt MATH · View at MathSciNet