$k$-cordial Labeling of Triangular Belt, Alternate Triangular Belt, Braid Graph and $Z$-$P_n$


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Authors

  • N. B. Rathod School of Science, R.K. University, Rajkot, Gujarat, India
  • K. K. Kanani Department of Mathematics, Government Engineering College, Rajkot, Gujarat, India

Keywords:

Abelian Group, $k$-cordial Labeling, Triangular Belt, Alternate Triangular Belt, Braid graph, $Z$-$P_{n}$

Abstract

In this research paper, we find $k$-cordial labeling of some special graphs. We prove that Triangular Belt $TB(n)$$(\downarrow^n)$, Alternate Triangular Belt $ATB(n)$$(\downarrow\uparrow\downarrow\uparrow...)$ and Braid Graph $B(n)$ are $k$-cordial. Moreover, the graph $Z$-$P_{n}$ is $k$-cordial for all odd $k$.

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Published

15-12-2017

How to Cite

N. B. Rathod, & K. K. Kanani. (2017). $k$-cordial Labeling of Triangular Belt, Alternate Triangular Belt, Braid Graph and $Z$-$P_n$. International Journal of Mathematics And Its Applications, 5(4 - E), 655–662. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1323

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Section

Research Article