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All Journal SAINSMAT: Jurnal Ilmiah Ilmu Pengetahuan Alam
Randi Mooduto
Universitas Negeri Gorontalo

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Bilangan Terhubung Total Pelangi pada Graf Hasil Operasi Korona Graf Buku(Bn) dan Graf Pensil(Pcm) Randi Mooduto; Lailany Yahya; Nisky Imansyah Yahya
Sainsmat : Jurnal Ilmiah Ilmu Pengetahuan Alam Vol. 12 No. 2 (2023): Volume 12 Nomor 2 (September 2023)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Negeri Makassar

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Abstract

Let G be a simple and finite graph. Rainbow connection and total rainbow connection c are set c : G → {1,2,. . . , k} where k is the minimal color on graph G. A rainbow connection number(rc) is a pattern by giving different colors to the connection edges (E(G)) so that a rainbow path is formed. The total rainbow connection number (trc) is a payment pattern by giving color to vertices (V(G)) and edges (E(G)) in graph G so that a total rainbow path is formed. This article discusses rainbow connection numbers (rc) and total rainbow connection numbers (trc) in the corona graph of book graph (Bn) and pencil graph (Pcm). The results obtained are rc(Bn ⨀ Pcm) = 2n+3 and trc(Bn ⨀ Pcm) = 4n+5, 3 ≤ n ≤ 5.
Co-Authors Lailany Yahya NISKY IMANSYAH YAHYA