Asmiati, Asmiati and Irawan, Agus and Suharsono, Suharsono and La, Zakaria (2018) Further Results on Locating Chromatic Number of Generalized Petersen Graphs. In: International Congress of Mathematicians, 1-9 Agustus 2018, Rio de Janeiro, Brazil. (Unpublished)

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Abstract

Let G be a connected graph and c a proper coloring of G. For i = 1; 2; : : : ; k define the color class Ci as the set of vertices receiving color i. The color code c�(v) of a vertex v in is the ordered k-tuple (d(v;C1); : : : ; d(v;Ck)) where (d(v;C1) is the distance of v to Ci. If all distinct vertices of G have distinct color codes, then c is called a locating-coloring of G . The locating-chromatic number of graph G, denoted by �L(G) is the smallest k such that G has a locating coloring with k colors. Let fu1; u2; : : : ; ung be some vertices on the outer cycle and fv1; v2; : : : ; vng be some vertices on the inner cycle, for n � 3. The Generalized Petersen graph, denoted by Pn;k, n � 3, 1 � k � bn

Item Type: Conference or Workshop Item (Speech)
Subjects: Q Science > QA Mathematics
Divisions: Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA) > Prodi Matematika
Depositing User: ASMIATI
Date Deposited: 15 Nov 2018 08:09
Last Modified: 15 Nov 2018 08:09
URI: http://repository.lppm.unila.ac.id/id/eprint/9992

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