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A New S-(a,d) Antimagic Labelling of a Class of Generalized Petersen Graphs


Dr.V.Jude Annie Cynthia , Dept. of Mathematics, Stella Maris College, Chennai, India; Sravya, Dept. of Mathematics, Stella Maris College, Chennai, India


(a,d) Antimagic Labeling, S-(a,d) Antimagic Labeling, Generlaized Petersen Graph


A connected graph G is said to be (a,d)-antimagic, for some positive integers a and d, if its edges admit a labeling with the integers 1,2,..., |E(G)|, such that the induced vertex labels forms and arithmetic progression with the first term a and the common difference d. In this paper we have investigated a new S-(a,d)-antimagic labeling of Generalized Petersen graphs P(N,2), where N=(3n+7)/2, for n≡1(mod4) and n≥5.

Other Details

Paper ID: IJSRDV3I120488
Published in: Volume : 3, Issue : 12
Publication Date: 01/03/2016
Page(s): 528-529

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