Publication Date:
2021-08-12
Description:
A graph G is called cycle books B 4 , m , 2 if G consists of m cycles C 4 with a common path P 2 . 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).
Print ISSN:
0161-1712
Electronic ISSN:
1687-0425
Topics:
Mathematics
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