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Reverse Super Edge-Magic Labeling on W-trees

S. Sharief Basha, , , ,
Affiliations
Applied Algebra Division, School of Advanced Sciences, VIT University, Vellore 632 014, Tamilnadu, India.
:NOT ASSIGNED


Abstract
A reverse edge-magic labeling of a graph G is a one-to-one map f from V(G) E(G) on to the integers {1,2,3,…., } with the property that , there is an integer constant c such that f(xy)-{f(x)+f(y)}=c for any (x,y) ∈ E(G) . If f (V(G)) = {1,2,3,… } then the reverse edge – magic labeling is called reverse super edge-magic labeling . In this paper we formulate reverse super edge-magic labeling on w-trees.


Citation
S. Sharief Basha."Reverse Super Edge-Magic Labeling on W-trees". International Journal of Computer Engineering In Research Trends (IJCERT) ,ISSN:2349-7084 ,Vol.2, Issue 11,pp.719-721, November- 2015, URL :https://ijcert.org/ems/ijcert_papers/V2I1104.pdf,


Keywords : Reverse super edge-magic labeling, w-graph, and w-tree

References
1. H.Enomoto,A.S.Llado, T.Nagamigawa and G.Ringle, Super edge-magic graphs,SUT J.Math, 34(1980), 105-109. 
2. GallianJ.A, A dynamic survey of graph labeling, Electronic J. Combinatorics 5 (1998) #DS6. 
3. Javid.M, Hussain.M, Ali.k, Dar.K.H, Super edge-magic total labeling on w-trees, Utilitas Math., 86(2011), 183-191. 
4. A.Kotzig and A.Rosa, Magic valuations of finite graphs, Canad. Math. Bull. 13 (1970), 451-461. 
5. Krishnappa H.K., Kishor Kottapalli, V.Ch. Venkaiah “On vertex magic total labeling of Complete graphs” AKCE Journal of Graphs and Combin, 6 No.1(2009) pp.143-154. 
6. MacDougall J. A, Mirka Miller, Slamin & W.D. Wallis, Vertex-magic total labeling of graphs, Utilitas Math. 61 (2002), 68-76. 
7. Sharief Basha S and Madhusudhan Reddy K, (2014), Reverse Magic Strength of Festoon Trees, Italian Journal of Pure and Applied Mathematics, No: 33, 191-200.
 8. Swaminathan V. and P. Jeyanthi, On super vertex-magic labeling, J. Discuss. Math. Sciences & Cryptography, 8 (2005) 217-224. 
9. Swaminathan V. and P. Jeyanthi, Super vertexmagic labeling, Indian J. Pure and Appl. Math., 34 (2003) 935-939. 
10. Venkata Ramana S and Sharief Basha S , (2010) On Reverse Super Edge- Magic labeling of Graphs, International Review of Pure and Applied Mathematics, 6(1), 181-188. 
11. D.B. West, an introduction to Graph Theory, Prentice – Hall (1996).


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DOI:10.22362/ijcert