A Conjecture on Super Edge‐Magic Total Labeling of 4‐Cycle Books
Mudin Simanihuruk, Tri Atmojo Kusmayadı, Swita Baki, Minsi Romala, Friska Damanik · International Journal of Mathematics and Mathematical Sciences · 2021
A graph G is called cycle books B[(4, m), 2] if G consists of m cycles C4 with a common path P2. Figueroa‐Centeno, Ichishima, and Muntaner‐Batle conjecture that the graph B[(4, m), 2] is super edge‐magic total if and only if m is even or m ≡ 5 mod(8). In this article, we prove this conjecture for m ≥ 36 and m = 0 mod (2).