CRITICAL SET OF EDGE MAGIC TOTAL LABELING OF EXPANDING CYCLE GRAPH *

Chairul Imron, Suhud Wahyudi

Abstract


This paper discusses about graph labeling. We will nd edge magic total labeling of cycle and expanding cycle graph. In the nal, we investigate the critical set of edge magic total labeling on cycle
and expanding cycle graph.


Keywords


Cycle graph; edge-magic total labeling; critical set

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References


Chairul Imron, Bandung A.S., Magic Graph on Cycle, The First International Conference on Mathematics and Statistics, UNISBA, Bandung, 19-21 Juni 2006.

Kotzig, A. and A. Rosa, Magic Valuations of Finite Graph, Canad. Math. Bull. 13, 451-461, 1970.

Sedlacek, J., problem 27, Theory of Graphs and it's Applications, 163-164, Publ. House Czechoslovak Acad. Sci.,Prague, 1964

Wallis, W.D., E.T. Baskoro, M.Miller and Slamin, Edge-Magic Total

Labelings, Australian Journal of Combinatorics 22, 177-190, 2000.

E.T. Baskoro, Critical Sets in Edge-Magic Total Labelings, 2005.




DOI: http://dx.doi.org/10.12962/j1829605X.v7i2.1436

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Limits: Journal Mathematics and its Aplications by Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Based on a work at https://iptek.its.ac.id/index.php/limits.