A Conjecture on Super Edge-Magic Total Labeling of 4-Cycle Books

Mudin Simanihuruk, Tri Atmojo Kusmayadi, Baki Swita, Minsi Romala, Friska Damanik and Sergejs Solovjovs

International Journal of Mathematics and Mathematical Sciences, 2021, vol. 2021, 1-8

Abstract: A graph G is called cycle books B4,m,2 if G consists of m cycles C4 with a common path P2. Figueroa-Centeno, Ichishima, and Muntaner-Batle conjecture that the graph B4,m,2 is super edge-magic total if and only if m is even or m≡5 mod8. In this article, we prove this conjecture for m ≥ 36 and m  = 0 mod (2).

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:8483926

DOI: 10.1155/2021/8483926

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