International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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Volume 59 - Issue 12 |
Published: December 2012 |
Authors: K. Kavitha, K. Thirusangu |
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K. Kavitha, K. Thirusangu . Group Magic Labeling of Multiple Cycles. International Journal of Computer Applications. 59, 12 (December 2012), 17-21. DOI=10.5120/9600-4225
@article{ 10.5120/9600-4225, author = { K. Kavitha,K. Thirusangu }, title = { Group Magic Labeling of Multiple Cycles }, journal = { International Journal of Computer Applications }, year = { 2012 }, volume = { 59 }, number = { 12 }, pages = { 17-21 }, doi = { 10.5120/9600-4225 }, publisher = { Foundation of Computer Science (FCS), NY, USA } }
%0 Journal Article %D 2012 %A K. Kavitha %A K. Thirusangu %T Group Magic Labeling of Multiple Cycles%T %J International Journal of Computer Applications %V 59 %N 12 %P 17-21 %R 10.5120/9600-4225 %I Foundation of Computer Science (FCS), NY, USA
Let G = (V, E) be a connected simple graph. For any non-trivial additive abelian group A , let A* = A ? {0}. A function f: E (G) ? A* is called a labeling of G. Any such labeling induces a map f + : V (G) ? A, defined by f+(v) = ? f(uv), where the sum is over all uv ? E(G). If there exist a labeling f whose induced map on V (G) is a constant map, we say that f is an A-magic labeling of G and that G is an A-magic graph. In this paper we obtained the group magic labeling of cycles with a common vertex, a chain of three cycles and even number of times even cycles in a chain.