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    Some Families of Tree Are Elegant

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    FKIP_Jurnal_rAFIANTIKA_Some Families of Tree Are Elegant.pdf (305.5Kb)
    Date
    2020-12-04
    Author
    PRIHANDINI, Rafiantika Megahnia
    ADAWIYAH, Robiatul
    KRISTIANA, Arika Indah
    DAFIK, Dafik
    FATAHILLAH, Arif
    ALBIRRI, Ermita Rizki
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    Abstract
    An elegant labeling on the graph G with n vertex and m edge is a one-to-one mapping (injection function) of the vertex set V (G) to the set of non negative integers {0, 1, 2, 3, . . . , m} such that each edge gets the label of the sum from the adjacent vertex label in modulo number (m+1) all different and nonzero, that is: g(e) = g(uv) = [g(u)+g(v)] mod (m+ 1) and g(e) 6= 0, where u and v are adjacent vertices. In this research, we investigate the elegant labelling of selected graph from some families of tree. A tree graph is a graph that does not contain a circle. The selected some families of tree are generalized of star and amalgamation of star. The results of this research have shown that some families of tree graph are elegant
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    http://repository.unej.ac.id/handle/123456789/104071
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    • LSP-Jurnal Ilmiah Dosen [7398]

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