Claw (graph theory)

Claw (graph theory)

In graph theory, claw denotes the complete bipartite graph K_{1,3}. A graph that does not contain K_{1,3} as an induced subgraph is called a claw-free graph. An example of a family of claw-free graphs is the line graphs.


Wikimedia Foundation. 2010.

Игры ⚽ Нужно решить контрольную?

Look at other dictionaries:

  • Star (graph theory) — Star The star S7. (Some authors index this as S8.) Vertices k+1 Edges k …   Wikipedia

  • Neighbourhood (graph theory) — A graph consisting of 6 vertices and 7 edges For other meanings of neighbourhoods in mathematics, see Neighbourhood (mathematics). For non mathematical neighbourhoods, see Neighbourhood (disambiguation). In graph theory, an adjacent vertex of a… …   Wikipedia

  • Matching (graph theory) — In the mathematical discipline of graph theory, a matching or independent edge set in a graph is a set of edges without common vertices. It may also be an entire graph consisting of edges without common vertices. Covering packing dualities… …   Wikipedia

  • Glossary of graph theory — Graph theory is a growing area in mathematical research, and has a large specialized vocabulary. Some authors use the same word with different meanings. Some authors use different words to mean the same thing. This page attempts to keep up with… …   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

  • Claw (disambiguation) — A claw is a sharp growth at the end of a toe or finger. Claw may also refer to: Chela (organ), a pincerlike organ terminating certain limbs of some arthropods like crabs Claw hammer, a common carpentry tool Baltimore Claws, a short lived American …   Wikipedia

  • Claw-free graph — A claw In graph theory, an area of mathematics, a claw free graph is a graph that does not have a claw as an induced subgraph. A claw is another name for the complete bipartite graph K1,3 (that is, a star graph with three edges, three leaves, and …   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

  • Complete bipartite graph — A complete bipartite graph with m = 5 and n = 3 Vertices n + m Edges mn …   Wikipedia

  • Colin de Verdière graph invariant — Colin de Verdière s invariant is a graph parameter μ(G) for any graph G introduced by Yves Colin de Verdière in 1990. It was motivated by the study of the maximum multiplicity of the second eigenvalue of certain Schrödinger operators.[1] Contents …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”