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    Local Irregular Vertex Coloring of Some Families Graph

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    F. KIP_Jurnal_Arika Indah K_Local irregular vertex coloring of some families graph.pdf (3.410Mb)
    Date
    2020-06-09
    Author
    KRISTIANA, Arika Indah
    ALFARISI, Ridho
    DAFIK, Dafik
    AZAHRA, Nadia
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    Abstract
    All graph in this paper is connected and simple graph. Let d(u, v) be a distance between any vertex u and v in graph G = (V, E ). A function : ( ) l V G {1, 2, , } k →  is called vertex irregular k-labelling and w V G N→ : () where wu ( ) l v ( ). If for every ∈ = Σ uv EG wu wv∈ ≠ ( ), ( ) ( ) and v Nu ( ) opt l ( ) min(max( );i i vertex irregular labelling) is called a local irregularity vertex coloring. = l l The minimum cardinality of the largest label over all such local irregularity vertex coloring is called chromatic number local irregular, denoted by clis(G). In this paper, we study about local irregularity vertex coloring of families graphs, namely triangular book graph, square book graph, pan graph, subdivision of pan graph, and grid graphs.
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    http://repository.unej.ac.id/handle/123456789/99358
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    • LSP-Jurnal Ilmiah Dosen [7403]

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