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Vertex-Magic Total Labeling Algorithms on Unicycle Graphs and Some Graphs Related to Wheels Denny Riama Silaban; Budi Utami; Alfa Isti Ananda; Dhian Widya; Siti Aminah
Jurnal Matematika & Sains Vol 17, No 1 (2012)
Publisher : Institut Teknologi Bandung

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Abstract

Abstract Let G be a graph with vertex set V and edge set E, where |V| and |E| be the number of vertices and edges of G. A bijection λ : V È E ® {1, 2, …, |V| + |E|} is called a vertex-magic total labeling if there is a constant k so that the weight of vertex x, wλ(x) = λ(x) + åyÎN(x) λ(xy) = k, for all x in V where N(x) is the set of vertices adjacent to x. This paper gives algorithms to generate all vertex-magic total labelings on some classes of unicycle graphs (suns and tadpoles) and some classes of graph related to wheels (friendships, fans, generalized Jahangirs). Using those algorithms, we enumerate all non isomorphic vertex-magic total labelings on those classes of graphs for some values of |V|.   Keywords: Fan, Friendship, Generalized Jahangir, Sun, Tadpole, Unicycle, Vertex magic total labeling, Wheel.   Algoritma Pelabelan Total Simpul Ajaib pada Graf Unicyle dan Beberapa Graf yang Terkait dengan Roda Abstrak Misalkan G adalah graf dengan himpunan simpul V dan himpunan busur  E dengan |V| dan |E| menyatakan banyak simpul dan banyak busur pada G. Fungsi bijektif  λ : V È E ® {1, 2, …, |V| + |E|} disebut pelabelan total simpul ajaib jika ada konstanta k sedemikian sehingga bobot simpul x, wλ(x) = λ(x) + åyÎN(x) λ(xy) = k, untuk setiap x di V dengan N(x) menyatakan, himpunan simpul yang berdekatan dengan x. Makalah ini memberikan algoritma-algoritma untuk menghasikan semua pelabelan-pelabelan  total simpul ajaib pada beberapa kelas graf unicycle (matahari dan kecebong) dan beberapa kelas graf yang terkait dengan roda (friendship, kipas, generalized Jahangir). Menggunakan algoritma-algoritma tersebut, dienumerasi semua pelabelan total simpul ajaib yang tidak isomorfik pada kelas-kelas graf yang menjadi perhatian, untuk beberapa nilai dari |V|. Kata kunci: Friendship, Generalized Jahangir, Kecebong, Kipas, Matahari, Pelabelan total simpul ajaib, Unicycle. 
Three Years Journal of IJSTM (International Journal of Science Technology & Management: Inarah): A Bibliometric Analysis Hidayat, M.Syamsul; Budi Utami
International Journal of Science, Technology & Management Vol. 3 No. 1 (2022): January 2022
Publisher : Publisher Cv. Inara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46729/ijstm.v3i1.431

Abstract

International Journal of Science ,Technology & Management (IJSTM: Inarah) is an internationally reputed journal with a Copernicus index that publishes original, peer-reviewed, and empirical research in science, technology and management. The use of technology in real business activities is often found in IJSTM journal articles. This journal has reached its 3rd year of publication in 2019. Using bibliometric techniques, we analyze based on the journal's authors, salient topics, and the most prolific authors, including institutions and affiliated countries as well as .topic relationships between articles. In network analysis using VOSviewer software, the results of IJSTM publications based on the linkage of articles are that there are two clusters, Keywords: IJSTM Journal, Bibliometrics, Vos Viewer