3-Total Sum Cordial Labeling on Some New Graphs

Authors

  • Poulomi Ghosh Department of Mathematics, NIT Durgapur, 713209, West Bengal
  • Sumonta Ghosh Department of Mathematics, NIT Durgapur, 713209, West Bengal
  • Anita Pal Department of Mathematics, NIT Durgapur, 713209, West Bengal

DOI:

https://doi.org/10.26713/jims.v9i3.815

Keywords:

3-total sum cordial labeling, 3-total sum cordial graph, Globe, Vertex switching, Vertex duplication

Abstract

Let \(G=(V,E)\) be a graph with vertex set \(V\) and edge set \(E\). Consider a vertex labeling \(f:V(G)\to \{0,1,2\}\) such that each edge \(uv\) assign the label \((f(u)+f(v))\ (\{{\rm mod}\  3)\). The map \(f\) is called a 3-total sum cordial labeling if \(|f(i)-f(j)|\le 1\), for \(i,j \in \{0,1,2\}\) where \(f(x)\) denotes the total number of vertices and edges labeled with \(x=\{0,1,2\}\). Any graph which satisfied 3-total sum cordial labeling is called a 3-total sum cordial graph. Here we prove some graphs like wheel, globe and a graph obtained by switching and duplication of arbitrary vertex of a cycle are 3-total sum cordial graphs.

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References

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Published

2017-10-31
CITATION

How to Cite

Ghosh, P., Ghosh, S., & Pal, A. (2017). 3-Total Sum Cordial Labeling on Some New Graphs. Journal of Informatics and Mathematical Sciences, 9(3), 665–673. https://doi.org/10.26713/jims.v9i3.815

Issue

Vol. 9 No. 3 (2017)

Section

Research Articles

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