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Research Article

The Ramsey indexes of paths and cycles

Ritabrato ChatterjeeDepartment of Mathematics, Western Michigan University, Kalamazoo, MI, USA
&
Ping ZhangDepartment of Mathematics, Western Michigan University, Kalamazoo, MI, USACorrespondence[email protected]
Received 29 Aug 2023, Accepted 23 Jan 2024, Published online: 06 Feb 2024

References

  • Y. Alavi, A.J. Boals, G. Chartrand, P. Erdős, and O.R. Oellermann, The ascending subgraph decomposition problem, Congr. Numer. 58 (1987), pp. 7–14.
  • A. Ali, G. Chartrand, and P. Zhang, Irregularity in Graphs, Springer, New York, 2021.
  • G. Chartrand, R. Chatterjee, and P. Zhang, Ramsey chains in graphs, Electron. J. Math. 6 (2023), pp. 1–14.
  • G. Chartrand and P. Zhang, The ascending Ramsey index of a graph, Symmetry 15 (2023), pp. 523.
  • F. Chung and R. Graham, P. Erdős, on Graphs: His Legacy of Unsolved Problems, CRC Press, Boca Raton, 1999.
  • H.L. Fu and W.H. Hu, Ascending subgraph decompositions of regular graphs, Discrete Math. 253 (2002), pp. 11–18.
  • K. Katsamaktsis, S. Letzter, A. Pokrovskiy, and B. Sudakov, Ascending subgraph decomposition, arXiv:2308.11613v2.
  • F. Roberts, Applications of Ramsey theory, Discrete Appl. Math. 9 (1984), pp. 251–261.

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