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    The r-Dynamic Local Irregularity Vertex Coloring of Graph

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    F. KIP_Jurnal_Arika Indah K_The R-Dynamic Local Irregularity Vertex Coloring.pdf (1.010Mb)
    Date
    2019-07-01
    Author
    KRISTIANA, Arika Indah
    UTOYO, Muhammad Imam
    DAFIK, Dafik
    ALFARISI, Ridho
    WALUYO, Eko
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    Abstract
    We define the r-dynamic local irregularity vertex coloring. Suppose  : V(G)  {1,2, … , k} is called vertex irregular k-labeling and w : V(G)  N where 𝑤(𝑢) = ∑ (𝑣) .  is called r-dynamic local irregular vertex coloring, if: (i) opt() = min{max{i}; i vertex irregular k-labeling}, (ii) for every ( ) uv  E(G), w(u) ≠ w(v), and (iii) for every v  V(G) such that |w(N(v))|  min{r, d(v)}. The chromatic number r-dynamic local irregular denoted by 𝜒 is minimum of cardinality r-dynamic local irregular vertex coloring. We study the r-dynamic local irregularity vertex coloring of graph and we have found the exact value of chromatic number r-dynamic local irregularity of some graph.
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    http://repository.unej.ac.id/handle/123456789/99381
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    • LSP-Jurnal Ilmiah Dosen [7406]

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    Indonesia DSpace Group :

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