BILANGAN R-M-H UNTUK GRAF LINTASAN P_4 DAN GRAF RODA W_n DENGAN n>=3

Authors

  • Nadya Citra Multasya Andalas University
  • MAHDHIVAN SYAFWAN
  • SYAFRIZAL SY

DOI:

https://doi.org/10.25077/jmua.12.2.135-143.2023

Keywords:

Bilangan R-M-H, Graf Lintasan, Graf Roda

Abstract

Diberikan dua graf G dan H serta bilangan asli j>=2. Bilangan Ramsey multipartit himpunan (R-M-H) M_j(G,H) adalah suatu bilangan bulat positif terkecil t sedemikian sehingga untuk sebarang faktorisasi K_(txj) = F_1 + F_2 senantiasa F_1 memuat subgraf G atau F_2 memuat subgraf H. Pada artikel ini akan ditentukan M_3(P_4,W_n) dimana P_4 adalah suatu graf lintasan yang terdiri dari 4 simpul dan W_n adalah suatu graf roda yang terdiri dari n+1 simpul dengan n>=3.

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References

Bondy, J.A. dan Murty, U.S.R. 2008. Graph Theory, Graduate Texts in Mathematics. Springer, New York

Burger, A.P. dan Vuuren, J.H Van. 2004. Ramsey numbers in complete balance multipartite graphs, Part I: Set numbers. Discrete Mathematics. 283: 37-43

Burger, A.P. dan Vuuren, J.H Van. 2004. Ramsey numbers in complete balance multipartite graphs, Part II: Size numbers. Discrete Mathematics. 283: 45-49

Chartrand, G., Lesniak, L, dan Zhang, P. 2016. Graphs and Digraphs. Sixth Edition. CRC Press, Boca Rotan

Clark, J. dan Holton, D.A. 1995. A First Look at Graph Theory. Allied Publishers LTD, Singapura

Lubis, A.A. 2021. Bilangan Ramsey Multipartit Himpunan untuk Kombinasi Graf Lintasan dengan Graf Roda M4(P3;Wn) dengan n>=3. Skripsi S-1, tidak diterbitkan. Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Andalas

Radziszowski, S.P. 2021. Small Ramsey numbers. The Electonic Journal of Combinatorics. 16: 4

Ramsey, A.P. 1928. On a problem of formal logic. Proceedings Of The London Mathematical Society. 30: 264-286

Wallis, W.D. 2007. A Beginner's Guide to Graph Theory. Second Edition. Birkhauser, Carbondale

Yuri, R. 2020. Bilangan Ramsey Multipartit Himpunan untuk Kombinasi Graf Lintasan dengan Roda. Tesis S-2, tidak diterbitkan. Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Andalas

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Published

03-02-2024

How to Cite

Multasya, N. C., SYAFWAN, M., & SY, S. (2024). BILANGAN R-M-H UNTUK GRAF LINTASAN P_4 DAN GRAF RODA W_n DENGAN n>=3. Jurnal Matematika UNAND, 12(2), 135–143. https://doi.org/10.25077/jmua.12.2.135-143.2023

Issue

Vol. 12 No. 2 (2023)

Section

Articles

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