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All Journal Jurnal Gaussian JURNAL DERIVAT: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA Journal of Mathematics Education and Application (JMEA) Jurnal Sains Matematika dan Statistika AKSIOMA BAREKENG: Jurnal Ilmu Matematika dan Terapan Limits: Journal of Mathematics and Its Applications Teorema: Teori dan Riset Matematika Sainmatika: Jurnal Ilmiah Matematika dan Ilmu Pengetahuan Alam Jambura Journal of Mathematics Transformasi : Jurnal Pendidikan Matematika dan Matematika ILKOMNIKA: Journal of Computer Science and Applied Informatics Jambura Journal of Mathematics Education JAMBURA JOURNAL OF PROBABILITY AND STATISTICS Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Griya Journal of Mathematics Education and Application JES-MAT (Jurnal Edukasi dan Sains Matematika) MATHunesa: Jurnal Ilmiah Matematika Research in the Mathematical and Natural Sciences Milang Journal of Mathematics and Its Applications Jurnal Riset Mahasiswa Matematika Euclid Jurnal Ilmiah Ekonomi dan Manajemen Algoritma: Jurnal Matematika, Ilmu Pengetahuan Alam, Kebumian dan Angkasa Limits: Journal of Mathematics and Its Applications
Djihad Wungguli
Universitas Negeri Gorontalo
Agriculture, Biological Sciences & Forestry Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Energy Engineering Environmental Science Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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Journal : JURNAL DERIVAT: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA

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Pemanfaatan Pelabelan Harmonis Graf Ular S_n Dalam Kriptografi Polialfabetik Tahir, Fauzia D.; Katili, Muh Rifai; Yahya, Nisky Imansyah; Wungguli, Djihad; Asriadi; Nurwan; Armayani Arsal
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 12 No. 2 (2025): Jurnal Derivat (Agustus 2025)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/j.derivat.v12i2.7815

Abstract

This research discusses harmonious labeling on the snake graph  and its application in polyalphabetic cryptography. A harmonious labeling is an injective function from the set of vertices to the set of integers modulo , defined as . This function induces an edge labeling function . For each edge connecting vertices  and , the edge label is given by , producing distinct edge labels. This study presents the construction process of harmonious labeling on the snake graph , where  and . The results show that the snake graph satisfies the conditions for being harmoniously labeled since each edge receives a unique label. The vertex set of  is defined as  and the edge set as  The harmonious labeling on this graph is then applied in cryptography, particularly in forming a cipher table used as a key in the polyalphabetic encryption and decryption process. This approach enhances cryptographic security, as a single plaintext letter can be transformed into various ciphertext possibilities, thereby increasing encryption strength and complicating message decryption attempts by unauthorized parties.  Keywords: harmonious labeling, snake graph, cryptography, polyalphabetic cipher
Co-Authors Agusyarif Rezka Nuha Alamri, Fahima Aliwu, Randa Resvitasari Armayani Arsal Asriadi Asriadi B. P. SILALAHI Daud, Sriwati M. Djafar, Fitria Fenly B Mohamad Ghivahri Sidik Mokoagow Harmain, Ismail Saputra R. Hasan S. Panigoro Hasan S. Panigoro Ibrahim, Novita Isa, Jefri N. Ismail Djakaria Isran K Hasan K. Hasan, Isran K. Nasib, Salmun Karina Anselia Mamonto Karmila Mokoginta Kasim, Afrianto Pratama Kintan Sakinah Kaluku Kurniasari Abram La Ode Nashar Lailany Yahya Latif, Sintia Abdul Lindrawati Abdjul Loleh, Linda Purnama Sari Muhammad Rezky F. Payu Muhammad Rifai Katili Ningsih, Setia Nisky I. Yahya NISKY IMANSYAH YAHYA Novianita Achmad Nteseo, Sutriany Nurhayati Abbas Nurwan NURWAN NURWAN Nurwan Nurwan Nurwan, Nurwan Pakaya, Desya Neydi Putri Rahim, Delvira Masita Rahmi, Emli Resmawan Resmawan Rindawati Ahmad S. GURITMAN Safrudin Ismail Salmun K. Nasib Siti Nurmardia Abdussamad Sri Lestari Mahmud Sri Maryam Mohungo Stella Junus Suaib A Siraj Suaib A. Siraj Sutriany Nteseo Tahir, Fauzia D. Taufik, Mohamad Alfiransyah Tiara Posangi Ulfa Is. Abdul Ulfania Liputo Wahab, Nur Dhea Wahdania A.T. Ja’a Wakiden, Yuliyani Wewengkang, Hanz Franklyn Bachruddin Windra Tahir