Extending of Edge Even Graceful Labeling of Graphs to Strong r-Edge Even Graceful Labeling

Edge even graceful labeling of a graph G with p vertices and q edges is a bijective f from the set of edge EG to the set of positive integers 2,4,…,2q such that all the vertex labels f∗VG, given by f∗u=∑uv∈EGfuvmod2k, where k=maxp,q, are pairwise distinct. There are many graphs that do not have edge...

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Bibliographic Details
Main Authors: Mohamed R. Zeen El Deen, Nora A. Omar
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/6643173