coloring set
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Set splitting — is a logical NP Complete problem which is defined as follows::: Instance : A finite set S and a collection C of finite subsets of S ;:: Query : Can the elements of S be colored with two colors, say red and green, so that no set X ∈ C has all… … Wikipedia
Graph coloring — 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… … Wikipedia
Edge coloring — A 3 edge coloring of the Desargues graph. In graph theory, an edge coloring of a graph is an assignment of “colors” to the edges of the graph so that no two adjacent edges have the same color. For example, the figure to the right shows an edge… … Wikipedia
Path coloring — In graph theory, path coloring usually refers to one of two problems: * The problem of coloring a (multi)set of paths R in graph G, in such a way that any two paths of R which share an edge in G receive different colors. Set R and graph G are… … Wikipedia
Complete coloring — of the Clebsch graph with 8 colors. Every pair of colors appears on at least one edge. No complete coloring with more colors exists: in any 9 coloring some color would appear only at one vertex, and there would not be enough neighboring vertices… … Wikipedia
Maximal independent set — This article is about the combinatorial aspects of maximal independent sets of vertices in a graph. For other aspects of independent vertex sets in graph theory, see Independent set (graph theory). For other kinds of independent sets, see… … Wikipedia
Answer set programming — (ASP) is a form of declarative programming oriented towards difficult (primarily NP hard) search problems. It is based on the stable model (answer set) semantics of logic programming. In ASP, search problems are reduced to computing stable models … Wikipedia
Mandelbrot set — Initial image of a Mandelbrot set zoom sequence with a continuously coloured environment … Wikipedia
Map-coloring games — Several map coloring games are studied in combinatorial game theory. The general idea is that we are given a map with regions drawn in but with not all the regions colored. Two players, Left and Right, take turns coloring in one uncolored region… … Wikipedia
Independent set (graph theory) — The nine blue vertices form a maximum independent set for the Generalized Petersen graph GP(12,4). In graph theory, an independent set or stable set is a set of vertices in a graph, no two of which are adjacent. That is, it is a set I of vertices … Wikipedia
Road coloring problem — In graph theory the road coloring theorem, known until recently as the road coloring conjecture, deals with synchronized instructions. The issue involves whether by using such instructions, one can reach or locate an object or destination from… … Wikipedia