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Free-Form Select (with synonyms) is a technique in printmaking, graphic design and image processing. The effect is to erase background colors or elements from a motif to create stand-alone objects. Today, this is done with graphics software ( computer graphics ) and computers rather than by cutting away parts with scissors or scalpels .
A proper vertex coloring of the Petersen graph with 3 colors, the minimum number possible.. In graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called "colors" to elements of a graph subject to certain constraints.
In the study of graph coloring problems in mathematics and computer science, a greedy coloring or sequential coloring [1] is a coloring of the vertices of a graph formed by a greedy algorithm that considers the vertices of the graph in sequence and assigns each vertex its first available color. Greedy colorings can be found in linear time, but ...
A graph vertex coloring is a weak coloring, but not necessarily vice versa. Every graph has a weak 2-coloring. The figure on the right illustrates a simple algorithm for constructing a weak 2-coloring in an arbitrary graph. Part (a) shows the original graph. Part (b) shows a breadth-first search tree of the same graph. Part (c) shows how to ...
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Removing this vertex, coloring the remaining graph recursively, and then using the smallest-numbered unused color for the removed vertex leads to a coloring with at most 12 colors; this is the greedy coloring for a degeneracy ordering of the graph. Therefore, biplanar graphs require at most 12 colors. [2]
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