$4$-Total prime cordial labeling of some cycle related graphs

نویسندگان

  • J Maruthamani Research Scholar, Register number: 18124012091054, Department of Mathematics, Manonmaniam sundarnar university, Abishekapatti, Tirunelveli-627012, Tamilnadu, India
  • R Ponraj Department of Mathematics Sri Parakalyani College Alwarkurichi -627 412, India
چکیده مقاله:

Let $G$ be a $(p,q)$ graph. Let $f:V(G)to{1,2, ldots, k}$ be a map where $k in mathbb{N}$ and $k>1$. For each edge $uv$, assign the label $gcd(f(u),f(v))$. $f$ is called $k$-Total prime cordial labeling of $G$ if $left|t_{f}(i)-t_{f}(j)right|leq 1$, $i,j in {1,2, cdots,k}$ where $t_{f}(x)$ denotes the total number of vertices and the edges labelled with $x$. A graph with a $k$-total prime cordial labeling is called $k$-total prime cordial graph. In this paper we investigate the $4$-total prime cordial labeling of some graphs like Prism, Helm, Dumbbell graph, Sun flower graph.

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عنوان ژورنال

دوره 50  شماره issue 2

صفحات  49- 57

تاریخ انتشار 2018-12-30

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