International Journal of Fuzzy Mathematics and Systems

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Edge Magic Combinations of Spiders


Affiliations
1 Jamal Mohamed College, Tiruchirappalli, Tamilnadu, India
2 Sri Vidya Mandir Arts & Science College, Uthangarai, Krishnagiri, India
     

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A total edge magic labeling of a graph with n vertices and m edges is a bijection f from VUE to the integers 1,2,……..,m + n such that there exists a constant s for any edge (u,v) in E satisfying f(u) + f(v) + f(u,v)=s. A graph is called an total edge magic graph if it has a total edge magic labeling. In this paper, we combine the spider graphs Sm,2 (m>0) with star graphs Sn (n>0) forming new graphs and show them to be total edge magic.

AMS Classification code: 05C78


Keywords

Graph Labeling, Antimagic, Spiders
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  • Edge Magic Combinations of Spiders

Abstract Views: 308  |  PDF Views: 0

Authors

A. Solairaju
Jamal Mohamed College, Tiruchirappalli, Tamilnadu, India
C. Ragavan
Sri Vidya Mandir Arts & Science College, Uthangarai, Krishnagiri, India

Abstract


A total edge magic labeling of a graph with n vertices and m edges is a bijection f from VUE to the integers 1,2,……..,m + n such that there exists a constant s for any edge (u,v) in E satisfying f(u) + f(v) + f(u,v)=s. A graph is called an total edge magic graph if it has a total edge magic labeling. In this paper, we combine the spider graphs Sm,2 (m>0) with star graphs Sn (n>0) forming new graphs and show them to be total edge magic.

AMS Classification code: 05C78


Keywords


Graph Labeling, Antimagic, Spiders

References