Construction of Reverse Super Edge Magic Total Graphs

  • Abstract
  • Keywords
  • References
  • PDF
  • Abstract

    In this paper, we investigate the adjacency matrix of  reverse super edge magic vertex graph and use this graph to construct other reverse super edge magic graphs with the same edge weight set. Additionally, by combining known reverse super edge magic  labelled graphs, we give a construction for a new reverse super edge magic graph



  • Keywords

    super edge magic total labeling, super edge magic total graphs,Reverse Super edge magic labeling, Reverse super edge magic graphs.

  • References

      [1] M. Baca, F. Bertault, J.A. MacDougall, M. Miller, R. Simanjuntak and Slamin, Vertex antimagic totallabelings of graphs, Discussiones Mathematicae Graph Theory, 23 (2003),67-83.

      [2] H. Enomoto, A. S. Llado,T. Nakamigawa and G. Ringel, Super edge magic graph SUT J. Math. 2 (1998), 105-109.

      [3] Y. Fukuchi, Edge-magic labelings of Generalised Petersen graphs P(n,2), Ars Combin.,59 (2001) 253-257.

      [4] J.A. Gallian, A dynamic survey of graph labeling, Electronic J. Combinatorics 5 (2003), #DS6.

      [5] Kotzig and A. Rosa, Magic valuations of finite graphs. Canad. Math. Bull. 13 (1970), 451-461.

      [6] Kotzig and A. Rosa, Magic valuations of complete graphs, Publ. CRM, 175 (1972).

      [7] F.A. Muntaner-Batle, Magic graphs, PhD Thesis, Universita Politecnica de Catalunya, Spain (2001).

      [8] F.A. Muntaner-Batle, Path-like tree, personal communication.

      [9] J.A MacDougall and W. Wallis, Strong edge magic graphs of maximum size.

      [10] S. ShariefBasha , K. Madhusudhan Reddy & MD.Shakeel, Algorithm To Construct Reverse Super Vertex Magic Labeling Of Complete Graphs, Global Journal of Pure and Applied Mathematics, Volume 11, Number 1 (2015), pp. 1-7.

      [11] Slamin, M. Baca, Y. Lin, M. Miller and R. Simanjuntak, Edge-magic totallabelings of wheels, fans and friendship graphs.

      [12] K. A. Sugeng and M. Miller, Relationship between adjacency matrices and super (a, d)edge antimagic total labeling of graphs, JCMCC.

      [13] S.VenkataRamana ,S.Shareefhbasha, Reverse super vertex-magic labeling of a graph, Ph.D. Thesis.




Article ID: 20906
DOI: 10.14419/ijet.v7i4.10.20906

Copyright © 2012-2015 Science Publishing Corporation Inc. All rights reserved.