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Graceful labeling of power graph of group Zk12×Z4

    https://doi.org/10.1142/S1793557122501212Cited by:1 (Source: Crossref)

    The power graph of a finite group G is a special type of undirected simple graph whose vertex set is set of elements of G, in which two distinct vertices of G are adjacent if one is the power of other. Let G=Zk12×Z4 be a finite abelian 2-group of order 2k+1 where k1. In this paper, we establish that the power graph of finite abelian group G always has graceful labeling without any condition on k.

    Communicated by I. Peterin

    AMSC: 05C25, 05C78