Super edge-antimagic graceful labeling of graphs

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DOI:

https://doi.org/10.26637/mjm303/010

Abstract

For a graph G=(V,E), a bijection g from V(G)∪E(G) into {1,2,…,|V(G)|+|E(G)|} is called (a,d)-edge-antimagic graceful labeling of G if the edge-weights w(xy)=|g(x)+g(y)−g(xy)|,xy∈E(G), form an arithmetic progression starting from a and having a common difference d. An (a,d)-edge-antimagic graceful labeling is called super (a,d)-edge-antimagic graceful if g(V(G))={1,2,…,|V(G)|}. Note that the notion of super (a,d)-edge-antimagic graceful graphs is a generalization of the article "G. Marimuthu and M. Balakrishnan, Super edge magic graceful graphs, Inf.Sci.287( 2014)140-151", since super (a,0)-edge-antimagic graceful graph is a super edge magic graceful graph.We study super (a,d)-edge-antimagic graceful properties of certain classes of graphs, including complete graphs and complete bipartite graphs.

Keywords:

Edge-antimagic graceful labeling, Super edge-antimagic graceful labeling

Mathematics Subject Classification:

05C78
  • G. Marimuthu Department of Mathematics, The Madura College, Madurai–625011, Tamil Nadu, India.
  • P. Krishnaveni Department of Mathematics, The Madura College, Madurai–625011, Tamil Nadu, India.
  • Pages: 312-317
  • Date Published: 01-07-2015
  • Vol. 3 No. 03 (2015): Malaya Journal of Matematik (MJM)

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Published

01-07-2015

How to Cite

G. Marimuthu, and P. Krishnaveni. “Super Edge-Antimagic Graceful Labeling of Graphs”. Malaya Journal of Matematik, vol. 3, no. 03, July 2015, pp. 312-7, doi:10.26637/mjm303/010.

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Vol. 3 No. 03 (2015): Malaya Journal of Matematik (MJM)

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Copyright (c) 2015 MJM

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