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Magic sum spectra of ladder graphs

International Conference on Algebra and Discrete Mathematics on January 8 to 10, 2018 Department of Mathematics, DDE, Madurai Kamaraj University, Tamil Nadu, India International Journal of Computer Science (IJCS) Published by SK Research Group of Companies (SKRGC)

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Abstract

For a positive integer a graph is -magic if there exists a labeling such that the induced vertex sum defined by is a constant is called a magic sum index. For fix integer the magic sum spectrum of with respect to is the set of all magic sum indices and it is denoted by In this paper we obtained the integer magic spectra of certain classes of ladder graphs, möbius ladder graphs and some corono of ladder graphs. , k) ,(= EVG k Z {0} )( : ?? k Z G E f k Z G V f ?? ) ( : ) ( = ) ( ) ( uv f v f G E uv ?? ? r , kG k Z r ). (GI k

References

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[4] A. Rosa, On certain valuations of the vertices of a graph, Theory of Graphs (Internat. Symposium, Rome, July 1966), Gordon and Breach, N. Y. and Dunod Paris (1967) 349–355.

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[7] Tao-wang Wang, Magic Sum Spectra of Group Magic Graphs, India-Taiwan Conference on Discrete Mathematics, NTU, November 9-12, 2009. 

Keywords

k Z -magic, magic sum spectra, ladder graph, möbius ladder, corono graph.

Image
  • Format Volume 6, Issue 1, No 04, 2018
  • Copyright All Rights Reserved ©2018
  • Year of Publication 2018
  • Author N. Mohamed Rilwan, R. Radha
  • Reference IJCS-341
  • Page No 2277-2285

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