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.

References

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Published

07-04-2022

Issue

Vol. 11 No. 1 (2022)

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Articles

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