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Jeyanthi, P., Jeyadaisy, K.. (1397). $Z_k$-Magic Labeling of Some Families of Graphs. , 50(issue 2), 1-12. doi: 10.22059/jac.2018.69046
P. Jeyanthi; K. Jeyadaisy. "$Z_k$-Magic Labeling of Some Families of Graphs". , 50, issue 2, 1397, 1-12. doi: 10.22059/jac.2018.69046
Jeyanthi, P., Jeyadaisy, K.. (1397). '$Z_k$-Magic Labeling of Some Families of Graphs', , 50(issue 2), pp. 1-12. doi: 10.22059/jac.2018.69046
Jeyanthi, P., Jeyadaisy, K.. $Z_k$-Magic Labeling of Some Families of Graphs. , 1397; 50(issue 2): 1-12. doi: 10.22059/jac.2018.69046

$Z_k$-Magic Labeling of Some Families of Graphs

Journal of Algorithms and Computation
مقاله 1، دوره 50، issue 2، اسفند 2018، صفحه 1-12    اصل مقاله (149.85 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/jac.2018.69046
نویسندگان
P. Jeyanthi* 1؛ K. Jeyadaisy2
1Principal and Head of the Research Centre,Department of Mathematics,Govindammal Aditanar College for Women,Tiruchendur,Tamilnadu,INDIA
2Department of Mathematics Holy Cross College, Nagercoil, Tamilnadu, India.
چکیده
For any non-trivial abelian group A under addition a graph $G$ is said to be $A$-\textit{magic}  if there exists a labeling $f:E(G) \rightarrow A-\{0\}$ such that, the vertex labeling $f^+$  defined as $f^+(v) = \sum f(uv)$ taken over all edges $uv$ incident at $v$ is a constant. An $A$-\textit{magic} graph $G$ is said to be $Z_k$-magic graph if the group $A$ is $Z_k$  the group of integers modulo $k$. These $Z_k$-magic graphs are referred to as $k$-\textit{magic} graphs. In this paper we prove that the total graph, flower graph,  generalized prism graph, closed helm graph, lotus inside a circle graph, $G\odot\overline{K_m}$, $m$-splitting graph of a path and  $m$-shadow graph of a path are $Z_k$-magic graphs.
کلیدواژه‌ها
A-magic labeling؛ $Z_k$-magic labeling؛ $Z_k$-magic graph؛ total graph؛ flower graph؛ generalized prism graph؛ closed helm graph؛ lotus inside a circle graph؛ $Godotoverline{K_m}$؛ $m$-splitting graph؛ $m$-shadow graph
آمار
تعداد مشاهده مقاله: 257
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