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

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...

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Bibliographic Details
Main Authors: Mudin Simanihuruk, Tri Atmojo Kusmayadi, Baki Swita, Minsi Romala, Friska Damanik
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2021/8483926