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Journal of Applied Mathematics
Volume 2013 (2013), Article ID 836395, 7 pages
http://dx.doi.org/10.1155/2013/836395
Research Article

Graph Operations and Neighbor Rupture Degree

1Department of Mathematics, Yasar University, 35100 Izmir, Turkey
2Department of Mathematics, Celal Bayar University, 45140 Manisa, Turkey

Received 25 March 2013; Revised 13 June 2013; Accepted 14 June 2013

Academic Editor: Frank Werner

Copyright © 2013 Saadet Kandİlcİ 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. F. Harary, Graph Theory, Addison-Wesley, New York, NY, USA, 1969. View at MathSciNet
  2. C. A. Barefoot and H. R. Entringer, “Vulnerability in graphs: a comparative survey,” Journal of Combinatorial Mathematics and Combinatorial Computing, pp. 25–33, 1987. View at Google Scholar
  3. M. B. Cozzens and S.-S. Y. Wu, “Vertex-neighbor-integrity of powers of cycles,” Ars Combinatoria, vol. 48, pp. 257–270, 1998. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. Y. Li, S. Zhang, and X. Li, “Rupture degree of graphs,” International Journal of Computer Mathematics, vol. 82, no. 7, pp. 793–803, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. G. Bacak-Turan and A. Kirlangic, “Neighbor rupture degree and the relations between other parameters,” Ars Combinatoria, vol. 102, pp. 333–352, 2011. View at Google Scholar · View at MathSciNet
  6. G. Bacak Turan, Vulnerability parameters in graphs [Ph.D. thesis], Ege University, 2010.
  7. G. Chartrand and L. Lesniak, Graphs and Digraphs, Chapman & Hall, Orange, Calif, USA, 3rd edition, 1996. View at MathSciNet
  8. F. Buckley and F. Harary, Distance in Graphs, 1990.
  9. R. Balakrishan and K. Ranganathan, A Textbook of Graph Theory, 1999.
  10. J. A. Bondy and U. S. R. Murty, Graph Theory with Applications, Macmillan Press, London, UK, 1976. View at MathSciNet
  11. Handbook of Graph Theory, Discrete Mathematics and its Applications (Boca Raton), CRC Press, Boca Raton, Fla, USA, 2004. View at MathSciNet