Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. A section of a graph or network.
Etymologies
Examples

A connected component of a graph G is a maximal connected induced subgraph, that is, a connected induced subgraph that is not itself a proper subgraph of any other connected subgraph of G. Example 7.2 Figure 7.1 is a connected graph.

But this graph would violate the Minimality Condition with respect to P, since the subgraph that omits the arrow from X to Y would also satisfy the Markov Condition.

Note that Figure 8 does satisfy the Minimality Condition; no subgraph satisfies CMC with respect to the described distribution.

(The graph in Figure 9 is not a subgraph of the graph in Figure 8.)

Since subgraph isomorphism is a computationally hard problem, indexing techniques have been intensively exploited to speed up the process.

This idea is used to both improve the filtering performance and speed up the subgraph isomorphism task.

Such systems filter out those graphs which cannot contain the query, and apply a subgraph isomorphism algorithm to each residual candidate graph.

The method uses the notion of feature, which can be a small subgraph, subtree or path.

An explicit chemical reaction $react can be forward or reverse applied once to a molecule $mol at the first subgraph of $mol found which is isomorphic to the substrate or product of

Also, an explicit chemical reaction $react can be forward or reverse applied once to a molecule $mol at each subgraph of $mol which is isomorphic to the substrate or product of
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