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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 : Limits: Journal of Mathematics and Its Applications

 1 
Sifat Fundamental Pada Granum Eulerian Suaib A. Siraj; Asriadi; Djihad Wungguli; Hasan S. Panigoro; Nurwan; Nisky I. Yahya
Limits: Journal of Mathematics and Its Applications Vol. 21 No. 2 (2024): Limits: Journal of Mathematics and Its Applications Volume 21 Nomor 2 Edisi Ju
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Mathematical analysis has several important connections with graph theory. Although initially, they may seem like two separate branches of mathematics, there are relationship between them in several aspects, such as graphs as mathematical objects that can be analyzed using concepts from analytic mathematics. In graph theory, one often studies distance, connectivity, and paths within a graph. These can be further analyzed using analytic mathematics, such as in the structure of natural numbers. Literature studies on graph theory, especially Eulerian graphs, are interesting to explore. An Eulerian path in a graph G is a path that includes every edge of graph G exactly once. An Eulerian path is called closed if it starts and ends at the same vertex. The concept of granum theory as a generalization of undirected graphs on number structures provides a rigorous approach to graph theory and demonstrates some fundamental properties of undirected graph generalization. The focus of this study is to introduce the connectivity properties of Eulerian granum. The granum G(e,M) is called connected if for every u,v E M with u != v there exists a path subgranumG^' (e,M^' )c G(e,M)  where u,v E M^' and is called an Eulerian granum if there exists a surjective mapping O: [||E(G(e,M))|| + 1]-> M such that e(o(n),o(n+1))=1 for every n E [||E(G(e,M))||]. This property provides a deeper understanding of the structure and characteristics of Eulerian granum, which have not been fully comprehended until now.
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