graph coloring problem

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• 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

• 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

• Problem der exakten Überdeckung — Das Problem der exakten Überdeckung (englisch Exact Cover) ist ein Entscheidungsproblem der Kombinatorik. Es gehört zu den 21 klassischen NP vollständigen Problemen, von denen Richard M. Karp 1972 gezeigt hat, dass sie NP vollständig sind.… …   Deutsch Wikipedia

• Graph theory — In mathematics and computer science, graph theory is the study of graphs : mathematical structures used to model pairwise relations between objects from a certain collection. A graph in this context refers to a collection of vertices or nodes and …   Wikipedia

• Graph homomorphism — Not to be confused with graph homeomorphism. In the mathematical field of graph theory a graph homomorphism is a mapping between two graphs that respects their structure. More concretely it maps adjacent vertices to adjacent vertices. Contents 1… …   Wikipedia

• Problem der Museumswächter — Das Problem der Museumswächter (en: Art gallery problem) ist eine Fragestellung der Algorithmischen Geometrie. Dabei wird folgende Situation untersucht: „Gegeben sei eine polygonale Fläche G mit Rand , interpretiert als Grundriss eines Museums.… …   Deutsch 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

• Perfect graph — The Paley graph of order 9, colored with three colors and showing a clique of three vertices. In this graph and each of its induced subgraphs the chromatic number equals the clique number, so it is a perfect graph. In graph theory, a perfect… …   Wikipedia

• Unit disk graph — In geometric graph theory, a unit disk graph is the intersection graph of a family of unit circles in the Euclidean plane. That is, we form a vertex for each circle, and connect two vertices by an edge whenever the corresponding circles cross… …   Wikipedia

• Independent set problem — In mathematics, the independent set problem (IS) is a well known problem in graph theory and combinatorics. The independent set problem is known to be NP complete. It is almost identical to the clique problem. Description Given a graph G , an… …   Wikipedia

• Bipartite graph — In the mathematical field of graph theory, a bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint sets U and V such that every edge connects a vertex in U to one in V ; that is, U and V are independent sets.… …   Wikipedia