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All Journal Electronic Journal of Graph Theory and Applications (EJGTA) Jurnal Fourier Al-Jabar : Jurnal Pendidikan Matematika Science and Technology Indonesia Jurnal Penelitian Pendidikan IPA (JPPIPA) Limits: Journal of Mathematics and Its Applications Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Jurnal Ilmiah Matematika Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Pedagogy : Jurnal Pendidikan Matematika Journal of Fundamental Mathematics and Applications (JFMA) Bulletin of Applied Mathematics and Mathematics Education Prosiding Seminar Nasional Pengabdian Masyarakat Bioma : Jurnal Ilmiah Biologi
Wijayanti, Dian Eka
Universitas Ahmad Dahlan
Agriculture, Biological Sciences & Forestry Arts Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Environmental Science Immunology & microbiology Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Materials Science & Nanotechnology Mathematics Medicine & Pharmacology Physics

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Journal : Limits: Journal of Mathematics and Its Applications

 1 
Pelabelan Jarak Tak Teratur Titik Pada Graf Persahabatan Lengkap Diperumum Cindy Ainun Majid; Dian Eka Wijayanti; Aris Thobirin; Puguh Wahyu Prasetyo
Limits: Journal of Mathematics and Its Applications Vol 20, No 1 (2023)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v20i1.7917

Abstract

Graph labeling is the labeling of graph elements such as vertex, edge and both. distance vertex irregular labeling is a type of labeling resulting from the development of distance magic labeling and (a, b)-distance anti-magic labeling.  Let   , be a simple graph.  The distance vertex irregular labeling of  is a vertex labeling so that the weight of each vertex    is different. The weight of    is calculated based on the sum of vertices  label  in  the set of neighboring vertex , namely  Distance vertex  irregularity  strength of   , denoted as d , is the smallest value of the largest label  so that  has a distance vertex irregular labeling.  This study aims to construct a generalized complete friendship graph , determine the labeling function, determine the distance vertex irregularity strength then formulate and prove the theorem resulting from the labeling. The object of this research is to label each vertex on a generalized complete friendship graph. This research method is a literature study obtained through various sources. Based on the research results, it is known that the graph  has distance vertex irregular labeling. For an integer m and n, , the  labeling  function of   is  and . Distance vertex  irregularity  strength of generalized complete friendship graph is   .
Co-Authors Abdillah, Alfiyyah 'Ainul Abdul Rouf Alghofari Afriyani, Sintia Andryan, Eky Aris Thobirin Aris Thobirin Aris Thobirin, Aris Aszhara, Aulia Fayzha Cindy Ainun Majid Dewi, Deshinta Arrova Diari Indriati Diari Indriati Hanifah Hanifah Hidayat, Noor Lailani, Shabrina Marsela, Rani Nour, Azty Acbarrifha Puguh Wahyu Prasetyo, Puguh Repka, Joe S Slamin Safitri, Raudhatun Samsul Arifin Setyawan, Fariz Setyo Dwi Pratama Slamin Sri Handayaningsih Sugiyarto Surono, Sugiyarto Suwartiningsih, Nurul Tulloh, Wisnu Catur Rachmad Wulansari Romadlon