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Lailany Yahya
Universitas Negeri Gorontalo
Aerospace Engineering Agriculture, Biological Sciences & Forestry Arts Humanities Astronomy Automotive Engineering Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Mathematics Mechanical Engineering Medicine & Pharmacology Physics Public Health Social Sciences Transportation Other

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