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    •   صفحهٔ اصلی
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    • Journal of Algorithms and Computation
    • Volume 50, issue 2
    • مشاهده مورد
    •   صفحهٔ اصلی
    • نشریات انگلیسی
    • Journal of Algorithms and Computation
    • Volume 50, issue 2
    • مشاهده مورد
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    $Z_k$-Magic Labeling of Some Families of Graphs

    (ندگان)پدیدآور
    Jeyanthi, P.Jeyadaisy, K.
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    نوع مدرک
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    Research Paper
    زبان مدرک
    English
    نمایش کامل رکورد
    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, $Godotoverline{K_m}$, $m$-splitting graph of a path and  $m$-shadow graph of a path are $Z_k$-magic graphs.
    کلید واژگان
    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

    شماره نشریه
    2
    تاریخ نشر
    2018-12-01
    1397-09-10
    ناشر
    University of Tehran
    سازمان پدید آورنده
    Principal and Head of the Research Centre,Department of Mathematics,Govindammal Aditanar College for Women,Tiruchendur,Tamilnadu,INDIA
    Department of Mathematics Holy Cross College, Nagercoil, Tamilnadu, India.

    شاپا
    2476-2776
    2476-2784
    URI
    https://jac.ut.ac.ir/article_69046.html
    https://iranjournals.nlai.ir/handle/123456789/296004

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