两个等长圈的卡氏积的群超幻标号

Group Supermagic Labeling of the Cartesian Product of Two Cycles with Equal Length

对有限交换群A,图G=(V,E)的A-超幻标号是一个双射φ:E→A,存在c∈A,使得对G中的每个顶点x都有■,其中E(x)为G中关联x的边的全体.该文对任意2n^(2)阶交换群A,构造了两个n长圈的卡氏积的一个A-超幻标号.

For a finite abelian group A,an A-supermagic labeling of a finite simple graph G=(V,E)is a bijectionφ:E A such that there exists c∈A satisfying■ for any vertex x of G,where E(x)is the set of edges adjacent to x.This paper constructs,for an arbitrary abelian group A of order 2n^(2),an A-supermagic labeling of the Cartesian product of two cycles of length n.