Please use this identifier to cite or link to this item: https://repository.unej.ac.id/xmlui/handle/123456789/112487
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dc.contributor.authorPUTRI, Desi Febriani
dc.contributor.authorDAFIK, Dafik
dc.contributor.authorKUSBUDIONO, Kusbudiono
dc.date.accessioned2023-03-03T01:50:01Z
dc.date.available2023-03-03T01:50:01Z
dc.date.issued2021-06-22
dc.identifier.urihttps://repository.unej.ac.id/xmlui/handle/123456789/112487
dc.description.abstractGraph coloring began to be developed into coloring dynamic. One of the developments of dynamic coloring is r-dynamic total coloring. Suppose G = (V (G), E(G)) is a non-trivial connected graph. Total coloring is defined as c : (V (G) ∪ E(G)) → 1, 2, ..., k, k ∈ N, with condition two adjacent vertices and the edge that is adjacent to the vertex must have a different color. r-dynamic total coloring defined as the mapping of the function c from the set of vertices and edges (V (G) ∪ E(G)) such that for every vertex v ∈ V (G) satisfy |c(N(v))| = min[r, d(v) + |N(v)|], and for each edge e = uv ∈ E(G) satisfy |c(N(e))| = min[r, d(u) + d(v)]. The minimal k of color is called r-dynamic total chromatic number denoted by χ 00(G). The 1-dynamic total chromatic number is denoted by χ 00(G), chromatic number 2-dynamic denoted with χ 00 d (G) and r-dynamic chromatic number denoted by χ 00 r (G). The graph that used in this research are path graph, shackle of book graph (shack(B2, v, n) and generalized shackle of graph friendship gshack(F4, e, n).en_US
dc.language.isootheren_US
dc.publisherCGANT Journal of Mathematics and Applicationsen_US
dc.subjectR-DYNAMIC TOTAL COLORINGen_US
dc.subjectR-DYNAMIC TOTAL CHROMATI NUMBERen_US
dc.subjectPATH GRAPHen_US
dc.subjectGRAPH OPERATION MATHEMATICS SUBJECT CLASSICIFICATIONen_US
dc.subject05C15en_US
dc.titleAnalisa Pewarnaan Total r-Dinamis pada Graf Lintasan dan Graf Hasil Operasien_US
dc.typeArticleen_US
dc.identifier.validatorTaufik 8 November
Appears in Collections:LSP-Jurnal Ilmiah Dosen

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