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Suwandi, Selfa
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Chemistry Environmental Science Immunology & microbiology Law, Crime, Criminology & Criminal Justice Library & Information Science Materials Science & Nanotechnology Physics Social Sciences

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Edge-Magic Total Labeling on Vertex Amalgamation Graphs of a Star Graph with a Path Graph Suwandi, Selfa; Nurdin, Nurdin; Nur, Muh.
Journal of Social Science Vol. 5 No. 4 (2024): Journal of Social Science
Publisher : Syntax Corporation Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46799/jss.v5i4.881

Abstract

One of the topic graph theories is graph labeling. Let be a finite simple connected graph, a bijection from to where and is called an edge-magic total labeling of if there exists a contant (called the magic sum of ) such that for any edge of . The super edge-magic total labeling on a graph is the edge-magic total labeling which maps into the set . Let be a connected graph with a fixed vertex . The vertex amalgamation of graph onto a fixed vertex called terminal denoted by is a graph formed by taking all elements (vertices and edges) in with . In this study, we will show that vertex amalgamation graphs of a star graph with a path graph are edge-magic total and super edge-magic total labeling, with constructed vertex labelings and edge labelings to obtain intervals of the magic sums .
Co-Authors Nur, Muh. Nurdin Nurdin