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2. Graph coloring - Wikipedia

   en.wikipedia.org/wiki/Graph_coloring

   Graph coloring is computationally hard. It is NP-complete to decide if a given graph admits a k-coloring for a given k except for the cases k ∈ {0,1,2}. In particular, it is NP-hard to compute the chromatic number. [31] The 3-coloring problem remains NP-complete even on 4-regular planar graphs. [32]

3. Talk:Paint by number - Wikipedia

   en.wikipedia.org/wiki/Talk:Paint_by_number

   Palmer Paint Products, Inc. the inventors of paint by numbers now offers crayons to color by number. When you purchase the crayons you can go the the website, www.palmerpaint.com and download for free color by number images.

4. Paint by number - Wikipedia

   en.wikipedia.org/wiki/Paint_by_number

   The user selects the color corresponding to one of the numbers then uses it to fill in a delineated section of the canvas, in a manner similar to a coloring book. The kits were invented, developed and marketed in 1950 by Max S. Klein, an engineer and owner of the Palmer Paint Company in Detroit, Michigan, United States, and Dan Robbins, a ...

5. Hadwiger–Nelson problem - Wikipedia

   en.wikipedia.org/wiki/Hadwiger–Nelson_problem

   According to Jensen & Toft (1995), the problem was first formulated by Nelson in 1950, and first published by Gardner (1960). Hadwiger (1945) had earlier published a related result, showing that any cover of the plane by five congruent closed sets contains a unit distance in one of the sets, and he also mentioned the problem in a later paper (Hadwiger 1961).

6. Complete coloring - Wikipedia

   en.wikipedia.org/wiki/Complete_coloring

   Finding ψ(G) is an optimization problem.The decision problem for complete coloring can be phrased as: . INSTANCE: a graph G = (V, E) and positive integer k QUESTION: does there exist a partition of V into k or more disjoint sets V 1, V 2, …, V k such that each V i is an independent set for G and such that for each pair of distinct sets V i, V j, V i ∪ V j is not an independent set.

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