Definition of Biconnected. Meaning of Biconnected. Synonyms of Biconnected

- In graph theory, a biconnected component or block (sometimes known as a 2-connected component) is a maximal biconnected subgraph. Any connected graph decomposes...
- biconnected graph on four vertices and four edges A graph that is not biconnected. The removal of vertex x would disconnect the graph. A biconnected graph...
- graph invariants. They have Hamiltonian cycles if and only if they are biconnected, in which case the outer face forms the unique Hamiltonian cycle. Every...
- necessarily a block graph: it has one biconnected component for each articulation vertex of G, and each biconnected component formed in this way must be...
- only if its endpoints are adjacent. All Hamiltonian graphs are biconnected, but a biconnected graph need not be Hamiltonian (see, for example, the Petersen...
- modular representation theory Block, in graph theory, is a biconnected component, a maximal biconnected subgraph of a graph Aschbacher block of a finite group...
- with three prime factors. 294 is the number of planar biconnected graphs with 7 vertices. Biconnected graphs are two dimensional graphs with a given number...
- the biconnected components and the separating vertices of a graph form a tree. This tree can be built as follows: its nodes are the biconnected components...
- 1-connected graph is called connected; a 2-connected graph is called biconnected. A 3-connected graph is called triconnected. Every graph decomposes into...
- gives a simplified proof of Brooks' theorem. If the graph is not biconnected, its biconnected components may be colored separately and then the colorings combined...