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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI SAINSMAT Jurnal Statistika Universitas Muhammadiyah Semarang JURNAL DERIVAT: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA Journal of Mathematics Education and Application (JMEA) PYTHAGORAS: Jurnal Program Studi Pendidikan Matematika Jurnal Matematika: MANTIK Journal of Mathematics and Mathematics Education (JMME) JMPM: Jurnal Matematika dan Pendidikan Matematika Desimal: Jurnal Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Dinamisia: Jurnal Pengabdian Kepada Masyarakat Jambura Journal of Mathematics Jurnal Matematika UNAND ILKOMNIKA: Journal of Computer Science and Applied Informatics ESTIMASI: Journal of Statistics and Its Application Jambura Journal of Biomathematics (JJBM) Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Griya Journal of Mathematics Education and Application Journal of Science and Technology Unnes Journal of Mathematics MATHunesa: Jurnal Ilmiah Matematika Journal of Fundamental Mathematics and Applications (JFMA) Research in the Mathematical and Natural Sciences SAINSMAT: Jurnal Ilmiah Ilmu Pengetahuan Alam Pattimura International Journal of Mathematics (PIJMath) Jurnal Riset Mahasiswa Matematika Trigonometri: Jurnal Matematika dan Ilmu Pengetahuan Alam Indonesian Journal of Mathematics and Applications Hexagon: Jurnal Ilmu dan Pendidikan Matematika The Indonesian Journal of Computer Science Bilangan: Jurnal Ilmiah Matematika, Kebumian dan Angkasa Amalgamasi: Journal of Mathematics and Applications Indonesian Journal of Computational and Applied Mathematics
NISKY IMANSYAH YAHYA
Universitas Negeri Gorontalo
Astronomy Biochemistry, Genetics & Molecular Biology 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 Mathematics Mechanical Engineering Physics 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 Afifah Farhanah Akadji Afifah Farhanah Akadji Agusyarif Rezka Nuha Akadji, Afifah Farhanah Amelia T. R. Sidik Armayani Arsal Aruchamy, Pradeepa Asriadi Asriadi Asriadi Asriadi Bertu Rianto Takaendengan Cindy Aisa Putri Noor Dennynatalis Taha Dewi Rahmawaty Isa Dhandapani, Prasantha Bharathi Djihad Wungguli Fatmawati, Ainun Ganesan, Gomathi Hamani, Mohamad Taufik Harmain, Ismail Saputra R. Harun, Trieke Nurfadilah Hasan S. Panigoro Imran, Nurain Indrawati Lihawa Ismail Djakaria Isran K Hasan Jusuf, Anryan K. Nasib, Salmun Kai, Ferawati Karim, Finansiya S. Abd. Karina Anselia Mamonto Kasim, Afrianto Pratama Khairun Nisa Humolungo Kiayi, Fuji Fauzia La Ode Nashar Lailany Yahya Lailany Yahya Lakisa, Narti Lakoro, Tiara Mahagaonkar, Pralahad Meilan Sigar Melisa Huntala Mita Sari Mohamad Rivaldi Moha Mokodompit, Marcela Muhammad Rezky F. Payu Muhammad Rifai Katili Nadiyyah, Ana Narti Lakisa Novianita Achmad Novria Fatmawati Lakutu Nurmardia Abdussamad, Siti Nurwan Nurwan Nurwan Nurwan, Nurwan Pomahiya, Saiful Pranata, Widya Eka Prasetyo, Deny Ardika Rahim, Delvira Masita Rahmi, Emli Randi Mooduto Rauf, Dewi Nur Angriani Resmawan Resmawan Salmun K. Nasib Salmun K. Nasib Sari, Septi Rahmita Sembiring, Rinawati Siti Nurmardia Abdussamad Sri Lestari Mahmud Suharmin, Wandayana Nur'Amanah Sumarno Ismail Taha, Dennynatalis Tahir, Fauzia D Tahir, Fauzia D. Taufik, Mohamad Alfiransyah Wahab, Nur Dhea Wahdania A.T. Ja’a Wewengkang, Hanz Franklyn Bachruddin Zulkifli Alamtaha