subgraph

Sometimes the name subgraph matching is also used for the same problem.

In particular, it is always a subgraph of the given graph.

At each step down the subgraph there are two choices one can make to form such a path.

Double cut - A pair of cuts with nothing between them may be drawn around any subgraph.

This name puts emphasis on finding such a subgraph as opposed to the bare decision problem.

The presence of the desired subgraph is then often used to prove a coloring result.

The subgraph of this form can be chosen so that its rays belong to the given thick end.

H is a subgraph of G, but not an induced substructure.

A core is a graph which does not retract to a proper subgraph.

A blossom is a factor-critical subgraph of a larger graph.

Any well-formed part of a graph is a subgraph.

There are many variations on the densest subgraph problem.

A related concept is a biclique, a complete bipartite subgraph.

Thus, any induced subgraph inherits the distances of the larger graph.

A path in a graph is a minimal subgraph connecting two of its nodes.

Let us denote the subgraph of tight edges by .

Insertion - Any subgraph may be inserted into an odd numbered depth.

Erasure - Any subgraph in an even numbered depth may be erased.

A graph is bowtie-free if it has no butterfly as an induced subgraph.

The subgraph that replaces the existing edge contains nodes and edges.

However, there may not necessarily exist an isomorphic subgraph that uses only one color of edges.

We can also show that the subgraph does not admit such a representation in a space of dimension less than 3:

It is replaced by a subgraph that is made up of nodes and edges as seen in Figure 2.

Return the two disjoint paths from the subgraph.

A subgraph or edge set whose circles are all in B (and which contains no half-edges) is called balanced.