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A strong coloring is equivalent to a partition of the vertices into disjoint independent-transversals (each independent-transversal is a single "color"). This is in contrast to graph coloring, which is a partition of the vertices of a graph into a given number of independent sets, without the requirement that these independent sets be transversals.
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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 ...
This is an accepted version of this page This is the latest accepted revision, reviewed on 7 January 2025. Book containing line art, to which the user is intended to add color For other uses, see Coloring Book (disambiguation). Filled-in child's coloring book, Garfield Goose (1953) A coloring book is a type of book containing line art to which people are intended to add color using crayons ...
They are weak, but He is strong. Refrain: Yes, Jesus loves me, Yes, Jesus loves me, Yes, Jesus loves me— The Bible tells me so! Jesus loves me—He who died Heaven's gate to open wide; He will wash away my sin, Let His little child come in. Refrain Jesus loves me—loves me still, Though I'm very weak and ill;
Color charge is a property of quarks and gluons that is related to the particles' strong interactions in the theory of quantum chromodynamics (QCD). Like electric charge, it determines how quarks and gluons interact through the strong force; however, rather than there being only positive and negative charges, there are three "charges", commonly called red, green, and blue.
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A proper (vertex) coloring of a graph is a coloring of the vertices of such that no two adjacent vertices have the same color. The minimum number of colors needed to properly color G {\displaystyle G} is called the chromatic number of G {\displaystyle G} , denoted χ ( G ) {\displaystyle \chi (G)} .