Cordial labeling of m-splitting graph of a graph

S J Gajjar, A K Desai

Abstract


In this paper, we have investigated a condition for a splitting graph of a graph, to be cordial. We have extended the concept of splitting graph to $m$-splitting graph of a graph and proved that the $m$-splitting graph of every cordial graph is cordial. We have also proved that the splitting graph of $W_n$ is cordial for all $n\geqslant 3$, splitting graph of $K_n$ is cordial for $ n=t^2$ and $t^2\pm 2 $ and splitting graph of shadow graph of any graph is cordial.

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References


begin{thebibliography}{4}

bibitem{Gross} J. Gross and J. Yellen (2004). Handbook of Graph Theory, CRC Press.

bibitem{Burton} D. M. Burton (2007). Elementary Number Theory. 6th ed.

bibitem{Gallian} J. A. Gallian, ``A Dynamic Survey of Graph Labeling," {it{The Electronic Journal of Combinatorics}}, 17 (2014), # DS6

bibitem{cahit} I. Cahit, ``Cordial Graphs: A weaker version of graceful and harmonious Graphs",

{it Ars Combinatoria}, 23(1987), 201-207.

bibitem{Ho} Y S Ho, S M Lee and S C Shee, ``Cordial labeling of unicyclic graphs and

generalized Petersen graphs", {it Congress. Numer}.,68(1989), 109-122.

bibitem{Andar} M Andar, S Boxwala and N B Limaye, ``A Note on cordial labeling of

multiple shells", {it Trends Math}. (2002), 77-80.

bibitem{B} S K Vaidya, G V Ghodasara, Sweta Srivastav, V J Kaneria, ``Some new

cordial graphs", {it Int. J. of Sci. Comp}.,2(1)(2008), 81-92.

bibitem{C} S K Vaidya, Sweta Srivastav, G V Ghodasara, V J Kaneria, ``Cordial

labeling for cycle with one chord and its related graphs", {it Indian J. of

Math. and Math. Sciences}, 4(2)(2008), 145-156.

bibitem{Raj} P. Lawrence Rozario Raj, S. Koilraj, ``Cordial labeling for the splitting graph of some standard graphs", {it International journal of mathematics and soft computing},Vol.1, No.1 (2011), 105 - 114.

end{thebibliography}


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