BILANGAN RAMSEY MULTIPARTIT HIMPUNAN (R-M-H) M_j(C_n, C_s) UNTUK CYCLE

Authors

  • Abdul - Majid Universitas Andalas
  • SYAFRIZAL SY
  • ADMI NAZRA

DOI:

https://doi.org/10.25077/jmua.12.4.309-317.2023

Keywords:

Bilangan R-M-H, Graf A.Majid, Graf cycle, Matching

Abstract

Diberikan dua graf G dan H sembarang. Bilangan Ramsey multipartit himpunan (R-M-H) M_j(G, H) dengan bilangan asli j ≥ 2, adalah bilangan bulat positif terkecil t sedemikian sehingga jika semua sisi dari graf multipartit seimbang lengkap K_{t×j} diberi sebarang 2−pewarnaan merah-biru, maka graf K_{t×j} senantiasa memuat G berwarna merah sebagai subgraf atau H berwarna biru sebagai subgraf. Graf C_n adalah suatu graf cycle dengan n ≥ 3 titik. Pada artikel ini, Penulis akan menentukan bilangan R-M-H M_j(C_n, C_s) untuk sebarang bilangan asli n ≥ 3 ganjil dan s ≥ 3. Hasil dari penelitian ini adalah ditemukannya bilangan R-M-H Mj (C_n, C_s) untuk cycle.

Author Biography

Abdul - Majid, Universitas Andalas

Jurusan Matematika S1, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Andalas

References

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Published

21-10-2023

Issue

Vol. 12 No. 4 (2023)

Section

Articles

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