Edge δ − Graceful Labeling for Some Cyclic-Related Graphs

Mohamed R. Zeen El Deen

Advances in Mathematical Physics, 2020, vol. 2020, 1-18

Abstract:

In this paper, we introduce a new type of labeling of a graph with vertices and edges called edge δ − graceful labeling, for any positive integer , as a bijective mapping of the edge set into the set such that the induced mapping , given by , where , is an injective function. We prove the existence of an edge δ − graceful labeling, for any positive integer , for some cycle-related graphs like the wheel graph, alternate triangular cycle, double wheel graph , the prism graph , the prism of the wheel , the gear graph , the closed helm CH n , the butterfly graph , and the friendship Fr n .

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:6273245

DOI: 10.1155/2020/6273245

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