BILANGAN RAMSEY MULTIPARTIT HIMPUNAN UNTUK KOMBINASI GRAF LINTASAN $P_3$ DENGAN GRAF POHON

Authors

  • Asyraf Mardhiyah Universitas Andalas
  • EFFENDI EFFENDI
  • SYAFRIZAL SY

DOI:

https://doi.org/10.25077/jmu.11.1.25-31.2022

Abstract

Misalkan K_{k x j} notasi dari graf multipartit seimbang lengkap yang terdiri dari k himpunan partit yang setiap partit memuat j titik, setiap titik bertetangga kecuali pada himpunan partit yang sama. Misalkan j>= 2 adalah bilangan asli. Untuk graf G dan H, bilangan Ramsey multipartit himpunan M_j(G,H) adalah bilangan asli terkecil p sedemikian sehingga setiap pewarnaan merah-biru pada sisi K_{kx j} senantiasa terdapat G berwarna merah atau H bewarna biru sebagai subgraf. Dalam penulisan ini, penulis menentukan nilai-nilai dari bilangan Ramsey multipartit himpunan M_j(G,H) dimana G adalah graf lintasan P_3 dan H adalah graf pohon T_n.

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References

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Magnant, Colton dan Adam Yusko. (2010). Ramsey Set Numbers In Balanced Complete Multipartite Graphs. Journal of Combinatorial Mathematics and Combinatorial Computing. (MSC2010:05C55).

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Syafrizal Sy, Baskoro E.T., dan Uttunggadewa S. (2005). The Size Multipartite Ramsey Numbers For Paths. Journal of Combinatorial Mathematic and Combinatorial Computing, 55, 103-107.

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Published

07-04-2022

How to Cite

Mardhiyah, A., EFFENDI, E., & SY, S. (2022). BILANGAN RAMSEY MULTIPARTIT HIMPUNAN UNTUK KOMBINASI GRAF LINTASAN $P_3$ DENGAN GRAF POHON. Jurnal Matematika UNAND, 11(1), 25–31. https://doi.org/10.25077/jmu.11.1.25-31.2022

Issue

Vol. 11 No. 1 (2022)

Section

Articles

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