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# Motivation
Subgraph matching is the task of finding instances of a query graph within a larger data graph. It is useful when
searching for patterns in a graph structure, such as searching a graph database. It is a fundamental
problem in graph theory with applications in pattern recognition, databases, security, and biochemistry.
searching for patterns in a graph structure, such as relationships in a social network. It is a fundamental problem in
graph theory with applications in pattern recognition, databases, security, and biochemistry.
An illustrative example is finding relationships in social networks. Consider a network like LinkedIn where each node is
a person, and each edge represents a connection. You are tasked with finding cases where five software developers and a
doctor all know each other. You can make a query graph with developers and a doctor, and search for instances of that
query in the larger network.
Consider a network like LinkedIn where each node is a person, and each edge represents a connection. You are tasked with
finding cases where five software developers and a doctor all know each other. You can make a query graph with
developers and a doctor, and search for instances of that query in the larger network.
# What is a subgraph isomorphism?