- In
graph theory, a
biconnected component (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...
-
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...
- SPQR tree St-connectivity K-connectivity
certificate Pixel connectivity Vertex separator Strongly connected component Biconnected graph Bridge v t e...
-
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...
- 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...
- is the
natural number following 177 and
preceding 179.
There are 178
biconnected graphs with six vertices,
among which one is
designated as the root and...
- 1-connected
graph is
called connected; a 2-connected
graph is
called biconnected. A 3-connected
graph is
called triconnected.
Every graph decomposes into...