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The rainbow connection number of a graph is the minimum number of colors needed to rainbow-connect , and is denoted by (). Similarly, the strong rainbow connection number of a graph G {\displaystyle G} is the minimum number of colors needed to strongly rainbow-connect G {\displaystyle G} , and is denoted by src ( G ) {\displaystyle {\text{src ...
This is a category of articles relating to software which can be freely used, copied, studied, modified, and redistributed by everyone that obtains a copy: "free software" or "open source software". Typically, this means software which is distributed with a free software license , and whose source code is available to anyone who receives a copy ...
Domain coloring plot of the function f(x) = (x 2 − 1)(x − 2 − i) 2 / x 2 + 2 + 2i , using the structured color function described below.. In complex analysis, domain coloring or a color wheel graph is a technique for visualizing complex functions by assigning a color to each point of the complex plane.
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 ...
Graph coloring enjoys many practical applications as well as theoretical challenges. Beside the classical types of problems, different limitations can also be set on the graph, or on the way a color is assigned, or even on the color itself. It has even reached popularity with the general public in the form of the popular number puzzle Sudoku ...
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In graph theory, path coloring usually refers to one of two problems: The problem of coloring a (multi)set of paths R {\displaystyle R} in graph G {\displaystyle G} , in such a way that any two paths of R {\displaystyle R} which share an edge in G {\displaystyle G} receive different colors.
Given a graph G and given a set L(v) of colors for each vertex v (called a list), a list coloring is a choice function that maps every vertex v to a color in the list L(v).As with graph coloring, a list coloring is generally assumed to be proper, meaning no two adjacent vertices receive the same color.