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nonplanar graph

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  • graph theory — Math. the branch of mathematics dealing with linear graphs. [1965 70] * * * Mathematical theory of networks. A graph consists of nodes (also called points or vertices) and edges (lines) connecting certain pairs of nodes. An edge that connects a… …   Universalium

  • Graph drawing — This article is about the general subject of graph drawing. For the annual research symposium, see International Symposium on Graph Drawing. Graphic representation of a minute fraction of the WWW, demonstrating hyperlinks. Graph drawing is an… …   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

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

  • Minor (graph theory) — In graph theory, an undirected graph H is called a minor of the graph G if H is isomorphic to a graph that can be obtained by zero or more edge contractions on a subgraph of G. The theory of graph minors began with Wagner s theorem that a graph… …   Wikipedia

  • Line graph — This article is about the mathematical concept. For statistical presentation method, see line chart. In graph theory, the line graph L(G) of undirected graph G is another graph L(G) that represents the adjacencies between edges of G. The name… …   Wikipedia

  • Desargues graph — Named after Gérard Desargues Vertices 20 Edges 30 …   Wikipedia

  • Complete graph — K7, a complete graph with 7 vertices Vertices n Edges …   Wikipedia

  • Hadwiger conjecture (graph theory) — In graph theory, the Hadwiger conjecture (or Hadwiger s conjecture) states that, if an undirected graph G requires k or more colors in any vertex coloring, then one can find k disjoint connected subgraphs of G such that each subgraph is connected …   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

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