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Group Magic Labeling of Multiple Cycles

by K. Kavitha, K. Thirusangu
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 59 - Number 12
Year of Publication: 2012
Authors: K. Kavitha, K. Thirusangu
10.5120/9600-4225

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 },
issue_date = { December 2012 },
volume = { 59 },
number = { 12 },
month = { December },
year = { 2012 },
issn = { 0975-8887 },
pages = { 17-21 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume59/number12/9600-4225/ },
doi = { 10.5120/9600-4225 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:04:00.853928+05:30
%A K. Kavitha
%A K. Thirusangu
%T Group Magic Labeling of Multiple Cycles
%J International Journal of Computer Applications
%@ 0975-8887
%V 59
%N 12
%P 17-21
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

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.

References
  1. Joseph A. Gallian, A Dynamic Survey of Graph Labeling, Fourteenth edition, November 17, 2011.
  2. E. Salehi, P. Bennett, "Integer-Magic Spectra of Caterpillars", J. Combin. Math. Combin. Comput. , 61 (2007), 65-71.
  3. C. Shiu, Richard M. Low, "Group magicness of complete n- partite graphs"
  4. Baskar Babujee, L. Shobana, "On Z3- magic graphs", Proceedings of the International Conference on mathematics and computer science,131-136.
  5. Ebrahim salehi ,"Zero-sum magic graphs and their null sets", ARS combinatorial 82(2007),41-53
  6. E. Salehi, "Integer-Magic Spectra of Cycle Related Graphs", Iranian J. Math. Sci Inform. , 2 (2006), 53-63.
  7. K. Kavitha , R. Sattanathan, "Group magicness of some special graphs", Proceedings of the International Conference on Mathematical Methods and Computation,24-25 July,2009. pp. 152-157.
  8. K. Kavitha , R. Sattanathan, "Construction of group magic labeling of multiple copies of cycles with different sizes", International Journal of Algorithms, Computing And Mathematics, Vol 3,No. 2,May 2010,1-9
  9. K. Kavitha , R. Sattanathan, "Group magic labeling in biregular graphs" IJAM, Volume 23 No. 6, 2010 ISSN 1311-1728,1103-1116
  10. K. Kavitha, K. Thirusangu, "Group magic labeling of two or more cycles with a common vertex" International conference on Bioinformatics, Computational biology 23-25 July,2012 (yet to be published).
Index Terms

Computer Science
Information Sciences

Keywords

A-magic labeling Group magic cycles with a common vertex chain of cycles

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