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Journal : Journal of Social Science

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 A. Sabilalo, Mahmudin Abbas, Bakhtiar Abdul Azizs, Abdul Abdul Hakim Abdul Kadir Abdul Razak Abdul, Muhammad Zul Ardiansyah Abdullah, Jufri adam, Pasrun Adnin, Chaeriah Adriawan Agussalim, Agussalim Alfiana Alfiana Amin, Fakhry Angi, Robby Daud Arifin Arifin Arsat, Arsat Asraf Asraf, Asraf Azis Muthalib, Abd. Bagea, Arfin Barqi, Sahbin Baso Silond ae, Andi Basru Wawo, Andi Budhihard, Andi M. Budihard, Andi M. Dali, Nasrullah Fauzih Fitriyani Fitriyani Hapsari, Mirza Hermiraj A.L, Muh. Hertasning, Hertasning Hiendrawati, Hiendrawati Indwiarti Irmawati Irmawati J, Jusriadi Jemadi, Jemadi Jemi Pabisangan Tahirs John Christianto Simon Kalsum, Ummy Kaswidah, Kaswidah Kurniati Karim Kusman Paluala Ladjin, Nurjanna Lisapaly, David C.E. Maryadi, Muhammad Aditya Mas'ud, Arifuddin Masitha, Zainab Maulid, Nur Mido, Muhammad Sardy Sujadi Muhaimin, La Ode Muhammad Nawir Muhammad Rickhzal Putra, La Ode Muthalib, Abd. Azis Nasrul Nasrul Nuralam Syamsuddin Nurdin Nurdin Nurhamzah Nurhilmah, Nurhilmah Putra, Muhammad Andri Purnama PUTRI WULANDARI Rahmah , Wahyuni Rahmah, Wahyuni Rahmatia Rahmatia, Rahmatia Ratih Primandari, Novegya Razak, Abd Renggaala, Nuniek Yuniarti Ningsih Rusli, Alfa Sari Ode S, Syamsul Sabilalo, Mahmuddin A. Sabilalo, Mahmudin A. Safrianto, Muhammad Salleh, Mad Ithnin bin Sambu, Abdul Haris Sarafudin, Sarafudin Saripuddin Supriaddin, Nofal Supriadin, Nofal Suryaningsih Suryaningsih Suryati Suryati Sutrino, Anas Suwandi, Selfa Syaban, Abdul Tambunan, Rince Ummah, Rahila Amanatul Windreis, Christ Wiyanto, Heri Yuana , Indira Yuana, Indira Zulkifli Zulkifli