Adjacent Vertex Distinguishing Distance Coloring of Grids
Shuang Liang Tian, Qian Wang · Applied Mechanics and Materials · 2014
A-distance coloringof is said to be adjacent vertex distinguishing if this coloring satisfy for any pair of adjacent vertices and in, wheredenotes the set of colors that are received by the vertex and all neighbors of with respect to. The minimum number of colors necessary to adjacent vertex distinguishing-distance color, is denoted by. In this paper, we give the exact values of forand, where denotes the-dimensional grid.