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Lailany Yahya
Jurusan Matematika, FMIPA, Universitas Negeri Gorontalo
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Journal : SAINSMAT

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Total Rainbow Connection Number of Corona Product of Book Graph(Bn) and Pencil Graf(Pcm) Randi Mooduto; Lailany Yahya; Nisky Imansyah Yahya
Sainsmat : Jurnal Ilmiah Ilmu Pengetahuan Alam Vol 12, No 2 (2023): September
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/sainsmat122423112023

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 Abdul, Nur Safitri Agusyarif Rezka Nuha Akolo, Ingka Rizkiyani Aliwu, Randa Resvitasari Alvitha Habibie Anisa, Lia Nur Anissa Dwi Wijayanti Armayani Arsal Barham, Siti Maryam Bertu Rianto Takaendengan Cindy Aisa Putri Noor D Une, Putri Mutia Dewi Rahmawaty Isa Djihad Wungguli FAHREZAL ZUBEDI Franky Alfrits Oroh Gusasi, Dewita Harun, Artika Rahayu Hasan S. Panigoro Hendro Budi Santoso Herlina Jusuf Hidayanti, Sri Amalia Ibrahim, Rusdianto Ifan Wiranto Indrawati Lihawa Ingka Rizkiyani Akolo Ismail Djakaria Ismail, Minton Isran K Hasan Jusuf, Anryan Karina Anselia Mamonto Kartin Usman Kasim, Miranti H. Kasim, Rahmat Rajib Kaune, Nurlaila Kiayi, Fuji Fauzia Kobandaha, Putri Ekawaty La Ode Nashar Ladjali, Sri Indriani Laita, Nazrilla Hasan Lanto Ningrayati Amali Mahading, Tria Susilowati Mahmud, Sri Lestari Majid Masra Latjompoh Melasarah Deswita Rahmadi Moh Dody Afandi Rauf Mohamad, Regina mohammad syafri tuloli Muftih Alwi Aliu Nancy Katili Naue, Siti Nurmeylisya Nikmatisni Arsad NISKY IMANSYAH YAHYA Novianita Achmad Nurdin, Sri Ayu Nurhayati Abbas Nursiya Bito Nurwan Nurwan Nurwan, Nurwan Olii, Isran R. Pakaya, Revandi S. Perry Zakaria Posangi, Tiara Prasetyo Usman Putri Ayuningtias Mahdang Rahman, Yulinar Rahmi, Emli Ramadiana, Anastasya Randi Mooduto Rasmawati Rasmawati Rauf, Moh Dody Afandi Resmawan Resmawan Salmun K. Nasib Sari, Lia Nanda Sari, Septi Rahmita Sembiring, Rinawati Siti Nurmardia Abdussamad Sitria Jemin Sri Maryam Mohungo Sri Meylanti S. Ali Sumarno Ismail Syamsu Qomar Badu Tedy Machmud Tiarawati, Ni Wayan Tria Susilowati Mahading Utina, Fitriani Windharta Oei, Smily Yusuf, Putria Zulmagfir Buako