Bilangan Kromatik Lokasi pada Graf Prisma Berekor

Authors

  • Eka Rahayu Nengsih A
  • Des Welyyanti
  • Effendi Effendi

DOI:

https://doi.org/10.25077/jmu.8.1.56-61.2019

Abstract

Misalkan G = (V, E) suatu graf terhubung dan c suatu k-pewarnaan dari G. Kelas warna pada G adalah himpunan titik-titik yang berwarna i, dinotasikan dengan Si untuk 1 ≤ i ≤ k. Misalkan Π = {S1, S2, ..., Sk} adalah partisi terurut dari V (G) berdasarkan pewarnaan titik. Kode warna cΠ(v) dari suatu titik v ∈ V (G) didefinisikan sebagai vektor-k: cΠ(v) = (d(v, S1), d(v, S2), ..., d(v, Sk)) dimana d(v, Si) = min{d(v, x) | x ∈ Si)}, untuk 1 ≤ i ≤ k. Jika setiap titik yang berbeda di G memiliki kode warna yang berbeda untuk suatu Π, maka c disebut pewarnaan lokasi untuk G. Jumlah warna minimum yang digunakan pada pewarnaan lokasi dari graf G disebut bilangan kromatik lokasi untuk G, dinotasikan dengan χL(G). Pada penelitian ini akan dibahas tentang penentuan bilangan kromatik lokasi pada graf prisma berekor.

Kata Kunci: Bilangan Kromatik Lokasi, Graf Prisma Berekor, Kode warna

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Published

05-07-2019

Issue

Vol. 8 No. 1 (2019)

Section

Articles

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