On Graceful Labeling of Some Power Graphs

Gurvinder Singh (Department of Mathematics, Sat Jinda Kalyana College)
Neeraj Takshak (Department of Mathematics, Maharshi Dayanand University)
Amit Sehgal (Department of Mathematics, Pt. Neki Ram Sharma Govt. College)
Archana Malik (Department of Mathematics, Maharshi Dayanand University)

Journal of the Indonesian Mathematical Society
Vol. 32 No. 3 (2026): SEPTEMBER

Power graphs of groups and semigroups constitute a significant class of graphs in algebraic graph theory, bridging algebraic structures and graph theoretic concepts. Further, labeling of graphs, particularly those endowed with an algebraic structure as their vertex set, is a vibrant area of research. This article contributes to this burgeoning field by exploring new classes of finite groups whose power graphs admit or forbid an important type of labeling called graceful labeling.