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- W2883924673 abstract "A k–coloring of a graph G=(V,E) is a k-partition Π={S1,…,Sk} of V into independent sets, called colors. A k-coloring is called neighbor-locating if for every pair of vertices u, v belonging to the same color Si, the set of colors of the neighborhood of u is different from the set of colors of the neighborhood of v. The neighbor-locating chromatic number, χNL(G), is the minimum cardinality of a neighbor-locating coloring of G. In this paper, we examine the neighbor-locating chromatic number for various graph operations: the join, the disjoint union and Cartesian product. We also characterize all connected graphs of order n≥3 with neighbor-locating chromatic number equal either to n or to n−1 and determine the neighbor-locating chromatic number of split graphs." @default.
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- W2883924673 date "2018-07-01" @default.
- W2883924673 modified "2023-10-18" @default.
- W2883924673 title "Neighbor-locating coloring: graph operations and extremal cardinalities" @default.
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- W2883924673 doi "https://doi.org/10.1016/j.endm.2018.06.023" @default.
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