four-colorable graph

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• Four color theorem — Example of a four colored map A four colori …   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

• 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

• Triangle-free graph — In the mathematical area of graph theory, a triangle free graph is an undirected graph in which no three vertices form a triangle of edges. Triangle free graphs may be equivalently defined as graphs with clique number ≤ 2, graphs with girth ≥ 4,… …   Wikipedia

• List of graph theory topics — This is a list of graph theory topics, by Wikipedia page. See glossary of graph theory for basic terminology Contents 1 Examples and types of graphs 2 Graph coloring 3 Paths and cycles 4 …   Wikipedia

• De Bruijn–Erdős theorem (graph theory) — This article is about coloring infinite graphs. For the number of lines determined by a finite set of points, see De Bruijn–Erdős theorem (incidence geometry). In graph theory, the De Bruijn–Erdős theorem, proved by Nicolaas Govert de Bruijn and… …   Wikipedia

• Petersen graph — Infobox graph name = Petersen graph image caption = The Petersen graph is most commonly drawn as a pentagon with a pentagram inside, with five spokes. namesake = Julius Petersen vertices = 10 edges = 15 radius = 2 diameter = 2 girth = 5 chromatic …   Wikipedia

• Chvátal graph — Named after Václav Chvátal Vertices 12 Edges 24 …   Wikipedia

• Planar graph — Example graphs Planar Nonplanar Butterfly graph K5 The complete graph K4 …   Wikipedia

• Snark (graph theory) — In graph theory, a snark is a connected, bridgeless cubic graph with chromatic index equal to 4. In other words, it is a graph in which every vertex has three neighbors, and the edges cannot be colored by three colors without two edges of the… …   Wikipedia

• Grötzsch graph — infobox graph name = Grötzsch graph namesake = Herbert Grötzsch vertices = 11 edges = 20 chromatic number = 4 chromatic index = girth = 4 properties = The Grötzsch graph is a triangle free graph with 11 vertices, 20 edges, and chromatic number 4 …   Wikipedia