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AKCE International Journal of Graphs and Combinatorics Volume 21, 2024 - Issue 1
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Articles

The k-Ramsey number of two five cycles

Johannes H. Hattingha Department of Mathematics and Statistics, University of North Carolina Wilmington, Wilmington, NC, USACorrespondence[email protected]
,
Elizabeth Jonckb School of Mathematics, University of the Witwatersrand, Braamfontein, Johannesburg, South Africa
&
Ronald J. Maartensb School of Mathematics, University of the Witwatersrand, Braamfontein, Johannesburg, South Africa
Pages 57-62 | Received 28 Apr 2022, Accepted 17 Aug 2023, Published online: 04 Sep 2023

References

  • Andrews, E., Chartrand, G., Lumduanhom, C., Zhang, P. (2017). Stars and their k-Ramsey numbers. Graphs Comb. 33: 257–274.
  • Chartrand, G., Lesniak, L., Zhang, P. (2016). Graphs & Digraphs, 6th ed. Boca Raton, FL: CRC Press/Taylor & Francis Group.
  • Faudree, R. J., Schelp, R. H. (1974). All Ramsey numbers for cycles in graphs. Discrete Math. 8: 313–329.
  • Hattingh, J. H., Henning, M. A. (1998). Bipartite Ramsey theory. Util. Math. 53: 217–230.
  • Johnston, D. (2015). Edge colorings of graphs and their applications. Dissertations. 586. http://scholarworks.wmich.edu/dissertations/586.
  • Reiman, I. (1958). Über ein problem von K. Zarankiewicz. Acta. Math. Acad. Sci. Hungar. 9: 269–273.
  • Rosta, V. (1973). On a Ramsey type problem of J.A. Bondy and P. Erdös I & II. J. Comb. Theory Ser. B. 15: 94–120.

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