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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Gek Ling Chia
Department of Mathematical and Actuarial Sciences, Lee Kong Chian Faculty of Engineering and Science, Unversiti Tunku Abdul Rahman, Sungai Long Campus, Malaysia
Electrical & Electronics Engineering

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Multi-bridge graphs are anti-magic Yu Bin Tai; Gek Ling Chia; Poh-Hwa Ong
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 10, No 1 (2022): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2022.10.1.22

Abstract

An anti-magic graph  is a graph whose |E| edges  can be labeled with the first  |E| natural numbers such that each edge receives a distinct number and each vertex receives a distinct vertex sum which is obtained by taking the sum of the labels of all the edges incident to it. We prove that the multi-bridge graph is anti-magic.
Co-Authors Poh-Hwa Ong Yu Bin Tai