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International Journal of Combinatorics
Volume 2011 (2011), Article ID 649687, 9 pages
doi:10.1155/2011/649687
Research Article
Ramsey Numbers for Theta Graphs
1Department of Mathematics, Yarmouk University, Irbid 21163, Jordan
2Department of Mathematics, Statistics, and Physics, Qatar University, Doha, Qatar
Received 14 January 2011; Revised 27 March 2011; Accepted 31 March 2011
Academic Editor: Alois Panholzer
Copyright © 2011 M. M. M. Jaradat 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
- S. P. Radziszowski, βSmall Ramsey numbers,β Electronic Journal of Combinatorics, 2009, DS1.12.
- G. Chartrand and S. Schuster, βOn a variation of the Ramsey number,β Transactions of the American Mathematical Society, vol. 173, pp. 353β362, 1972. View at Publisher Β· View at Google Scholar Β· View at Zentralblatt MATH
- J. A. Bondy and P. Erdős, βRamsey numbers for cycles in graphs,β Journal of Combinatorial Theory. Series B, vol. 14, pp. 46β54, 1973. View at Publisher Β· View at Google Scholar Β· View at Zentralblatt MATH
- V. Rosta, βOn a Ramsey-type problem of J. A. Bondy and P. Erdős. I, II,β Journal of Combinatorial Theory. Series B, vol. 15, pp. 94β120, 1973.
- R. J. Faudree and R. H. Schelp, βAll Ramsey numbers for cycles in graphs,β Discrete Mathematics, vol. 8, pp. 313β329, 1974. View at Publisher Β· View at Google Scholar Β· View at Zentralblatt MATH
- D. R. Woodall, βMaximal circuits of graphs. I,β Acta Mathematica Academiae Scientiarum Hungaricae, vol. 28, no. 1-2, pp. 77β80, 1976. View at Publisher Β· View at Google Scholar Β· View at Zentralblatt MATH
- S. Brandt, βA sufficient condition for all short cycles,β Discrete Applied Mathematics, vol. 79, no. 1–3, pp. 63β66, 1997. View at Publisher Β· View at Google Scholar Β· View at Zentralblatt MATH
- M. Bataineh, Some extremal problems in graph theory, Ph.D. thesis, Curtin University of Technology, Bentley, Australia, 2007.
- M. Bataineh, M. Jaradat, and E. Al-Shboul, βEdge-maximal graphs without graph,β submitted.