Some Special $V_4$-magic Graphs

Authors

  • R. Sweetly Department of Mathematics, Nazareth Margoschis College, Nazareth 628~617, India
  • J. Paulraj Joseph Department of Mathematics, Manonmaniam Sundaranar University, Tirunelveli 627~012, India

DOI:

https://doi.org/10.26713/jims.v2i2%20&%203.33

Keywords:

$V_4$-magic, $A$-magic labeling

Abstract

For any abelian group $A$, a graph $G=(V,E)$ is said to be
$A$-magic if there exists a labeling $l:E(G)\to A-\{0\}$ such that the induced vertex set labeling $l^+:V(G)\to A$ defined by $l^+ :=\sum\{l({\it uv})/{\it uv}\in E(G)\}$ is a constant map. In this paper, we consider the Klein-four group $V_4=Z_2\oplus Z_2$ and investigate graphs that are $V_4$-magic.

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CITATION

How to Cite

Sweetly, R., & Joseph, J. P. (2010). Some Special $V_4$-magic Graphs. Journal of Informatics and Mathematical Sciences, 2(2 & 3), 141–148. https://doi.org/10.26713/jims.v2i2 & 3.33

Issue

Section

Research Articles