On multicolor Ramsey numbers for even cycles in graphs

Ars Combinatoria

Volumn 84, Issue , 2007, Pages 333-343

  Yongqi, Sun ^a   Yuansheng, Yang ^b   Baoqi, Jiang ^b   Xiaohui, Lin ^b   Lei, Shi ^b  

^a BEIJING JIAOTONG UNIVERSITY   (China)

^b DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Cycle; Galois field; Latin square; Multicolor Ramsey number

Indexed keywords

EID: 34548068579     PISSN: 03817032     EISSN: 28175204     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. J. A. Bondy and P. Erdös, Ramsey numbers for cycles in graphs, Journal of Combinatorial Theory, Series B, 14 (1973) 46-54.
2. F. R. K. Chung, On the Ramsey numbers N(3, 3, ..., 3; 2), Discrete Mathematics, 5 (1973) 317-321.
3. F. R. K. Chung and R. L. Graham, On multicolor Ramsey numbers for complete bipartite graphs, Journal of Combinatorial Theory, Series B, 18 (1975) 164-169.
4. J. Denes, A. D. Keedwell, Latin Squares and Their Applications, Academic Press, New York, 1974.
5. T. Dzido, A. Nowik and P. Szuca, New lower bound for multicolor Ramsey numbers for even cycles, Electronic Journal of Combinatorics, http://www.combinatorics.org/, #N13, 12 (2005), 5 pages.
6. R. J. Faudree and R. H. Schelp, All Ramsey numbers for cycles in graphs, Discrete Mathematics, 8 (1974) 313-329.
7. R. L. Graham, B. L. Rothschild and J. H. Spencer, Ramsey Theory, Second Edition, John Wiley & Sons, 1990.
8. R. W. Irving, Generalised Ramsey numbers for small graphs, Discrete Mathematics, 9 (1974) 251-264.
9. 4), Journal of Combinatorial Theory, Series B, 79 (2000) 172-176.
10. F. Lazebnik and D. Mubayi, New lower bounds for Ramsey numbers of graphs and hypergraphs, Advances in Applied Mathematics, 28 (2002) 544-559.
11. A. C. H. Ling, Some applications of combinatorial designs to extremal graph theory, Ars Combinatoria, 67 (2003) 221-229.
12. S. P. Radziszowski, Small Ramsey numbers, Electronic Journal of Combinatorics, http://www.combinatorics.org/, #R11, (2006), 60 pages.
13. 2k), Graphs and Combinatorics, 22 (2006) 283-288.