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    Local Antimagic r-dynamic Coloring of Graphs

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    F. KIP_Jurnal_Arika Indah K_Local antimagic r-dynamic coloring of graphs.pdf (656.1Kb)
    Date
    2019-04-09
    Author
    KRISTIANA, Arika Indah
    UTOYO, Muhammad Imam
    DAFIK, Dafik
    AGUSTIN, Ika Hesti
    ALFARISI, Ridho
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    Abstract
    Let G = (V; E) be a connected graph. A bijection function f : E(G) ! f1; 2; 3; ; E(G)jg is called a local antimagic labeling if for all uv 2 E(G)s, w(u) 6= w(v), where w(u) = e2E(u)f(e). Such that, local antimagic labeling induces a proper vertex kcoloring of graph G that the neighbors of any vertex u receive at least minfr; d(v)g di erent colors. The local antimagic r-dynamic chromatic number, denoted by la r (G) is the minimum k such that graph G has the local antimagic r-dynamic vertex k-coloring. In this paper, we will present the basic results namely the upper bound of the local antimagic r-dynamic chromatic number of some classes graph.
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    http://repository.unej.ac.id/handle/123456789/99355
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