Journal of Social Science
Vol. 5 No. 4 (2024): Journal of Social Science

Edge-Magic Total Labeling on Vertex Amalgamation Graphs of a Star Graph with a Path Graph

Suwandi, Selfa (Unknown)
Nurdin, Nurdin (Unknown)
Nur, Muh. (Unknown)

Article Info

Publish Date
23 Jul 2024

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 .

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Journal Info
Journal of Social Science
Website

Abbrev

jsss

Publisher

Ridwan Institute

Subject

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

Description

The Journal of Social Science is a double blind peer-reviewed academic journal and open access to social and scientific fields. The journal is published bimonthly once by Ridwan Institute The Journal of Social Science provides a means for sustained discussion of relevant issues that fall within the ...