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List coloring. In graph theory, a branch of mathematics, list coloring is a type of graph coloring where each vertex can be restricted to a list of allowed colors. It was first studied in the 1970s in independent papers by Vizing and by Erdős, Rubin, and Taylor. [1]
The problem for graphs is NP-complete if the edge lengths are assumed integers. The problem for points on the plane is NP-complete with the discretized Euclidean metric and rectilinear metric. The problem is known to be NP-hard with the (non-discretized) Euclidean metric. [ 3]: ND22, ND23. Vehicle routing problem.
A coloring book (British English: colouring-in book, colouring book, or colouring page) is a type of book containing line art to which people are intended to add color using crayons, colored pencils, marker pens, paint or other artistic media. Traditional coloring books and coloring pages are printed on paper or card.
7. Shy Smile. iheartcraftythings.com. iheartcraftythings.com gives another coloring page that shows the sweet and possibly even shy side of the character Elsa. 8. Elsa and Anna. pain-by-number.com ...
A four-colored map of the states of the United States (ignoring lakes and oceans) In mathematics, the four color theorem, or the four color map theorem, states that no more than four colors are required to color the regions of any map so that no two adjacent regions have the same color. Adjacent means that two regions share a common boundary of ...
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 its simplest form, it is a way of coloring the vertices of a graph ...
Tutte's conjectures: every bridgeless graph has a nowhere-zero 5-flow [ 135] every Petersen - minor -free bridgeless graph has a nowhere-zero 4-flow [ 136] Woodall's conjecture that the minimum number of edges in a dicut of a directed graph is equal to the maximum number of disjoint dijoins.
There are 2 7825 ≈ 3.63×10 2355 possible coloring combinations for the numbers up to 7825.These possible colorings were logically and algorithmically narrowed down to around a trillion (still highly complex) cases, and those, expressed as Boolean satisfiability problems, were examined using a SAT solver.
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