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41Interval graph — In graph theory, an interval graph is the intersection graph of a set of intervals on the real line. It has one vertex for each interval in the set, and an edge between every pair of vertices corresponding to intervals that intersect.Formally,… …
42Series-parallel graph — In graph theory, series parallel graphs are graphs with two distinguished vertices called terminals , formed recursively by two simple composition operations. They can be used to model series and parallel electric circuits.Definition and… …
43Line 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… …
44Even-hole-free graph — In the mathematical area of graph theory, a graph is even hole free if it contains no induced cycle with an even number of vertices. Every even hole free graph contains a bisimplicial vertex. [citation last1 = Addario Berry | first1 = Louigi… …
45Clique (graph theory) — A graph with 23 1 vertex cliques (its vertices), 42 2 vertex cliques (its edges), 19 3 vertex cliques (the light blue triangles), and 2 4 vertex cliques (dark blue). Six of the edges and 11 of the triangles form maximal cliques. The two dark blue …
46Cactus graph — A cactus graph (sometimes called a cactus tree) is a connected graph in which any two simple cycles have at most one vertex in common. Equivalently, every edge in such a graph may belong to at most one cycle.Cactus graphs were first studied under …
47Crossing number (graph theory) — A drawing of the Heawood graph with three crossings. This is the minimum number of crossings among all drawings of this graph, so the graph has crossing number cr(G) = 3. In graph theory, the crossing number cr(G) of a graph G is the… …
48Hadwiger 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 …
49Quantum graph — In mathematics and physics, a quantum graph is a linear, network shaped structure whose time evolution is described by a system of schrödinger equations or, more generally, by a set of evolution equations associated with differential or pseudo… …
50Power graph analysis — In computational biology, power graph analysis is a method for the analysis andrepresentation of complex networks. Power graph analysis is the computation, analysis and visual representation of a power graph from a graphs (networks).Power graph… …
