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- W2906241011 abstract "Let G be a connected graph and c a proper coloring of G. For i = 1; 2; : : : ; k definethe color class Ci as the set of vertices receiving color i. The color code c�(v) ofa vertex v in is the ordered k-tuple (d(v;C1); : : : ; d(v;Ck)) where (d(v;C1) is thedistance of v to Ci. If all distinct vertices of G have distinct color codes, then c iscalled a locating-coloring of G . The locating-chromatic number of graph G, denotedby �L(G) is the smallest k such that G has a locating coloring with k colors. Letfu1; u2; : : : ; ung be some vertices on the outer cycle and fv1; v2; : : : ; vng be somevertices on the inner cycle, for n � 3. The Generalized Petersen graph, denoted byPn;k, n � 3, 1 � k � bn" @default.
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- W2906241011 date "2018-08-01" @default.
- W2906241011 modified "2023-09-27" @default.
- W2906241011 title "Further Results on Locating Chromatic Number of GeneralizedPetersen Graphs" @default.
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