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Edited by: Editorial Board of Journal of Data Acquisition and Processing
P.O. Box 2704, Beijing 100190, P.R. China
Sponsored by: Institute of Computing Technology, CAS & China Computer Federation
Undertaken by: Institute of Computing Technology, CAS
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      07 April 2023, Volume 38 Issue 2   
    Article

    ABSOLUTELY HARMONIOUS LABELING OF RING SUM OF A GRAPH WITH STAR GRAPH
    M.Seenivasan, P.ArunaRukmani, A.Lourdusamy
    Journal of Data Acquisition and Processing, 2023, 38 (2): 1939-1947 . 

    Abstract

    Absolutely harmonious labelingf is an injection from the vertex set of a graph G with q edges to the set {0,1,2,…,q-1}, if each edge uv is assigned f(u)+f(v) then the resulting edge labels can be arranged as {a_0,a_1 a_2,…,a_(q-1)} where a_i=q-ior q+i,0≤ i≤ q-1.However, when G is a tree one of the vertex labels may be assigned to exactly two vertices. A graph which admits Absolutely harmonious labeling is called absolutely harmonious graph. In this paper, we study absolutely harmonious labeling of ring sum of a graph with star graph.

    Keyword

    Harmonious labelling, Absolutely harmonious labelling, Star graph, Traingular ladder, Jelly Fish, Jewel graph, P¬n2, Globe graph.


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ISSN 1004-9037

         

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