# Changeset 1351:2f479109a71d in lemon for doc/groups.dox

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Timestamp:
05/14/15 16:07:38 (7 years ago)
Branch:
default
Phase:
public
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Documentation for VF2 (#597)

The implementation of this feature was sponsored by QuantumBio? Inc.

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 r1271 /** @defgroup graph_isomorphism Graph Isomorphism @ingroup algs \brief Algorithms for testing (sub)graph isomorphism This group contains algorithms for finding isomorph copies of a given graph in another one, or simply check whether two graphs are isomorphic. The formal definition of subgraph isomorphism is as follows. We are given two graphs, \f$G_1=(V_1,E_1)\f$ and \f$G_2=(V_2,E_2)\f$. A function \f$f:V_1\longrightarrow V_2\f$ is called \e mapping or \e embedding if \f$f(u)\neq f(v)\f$ whenever \f$u\neq v\f$. The standard Subgraph Isomorphism Problem (SIP) looks for a mapping with the property that whenever \f$(u,v)\in E_1\f$, then \f$(f(u),f(v))\in E_2\f$. In case of Induced Subgraph Isomorphism Problem (ISIP) one also requires that if \f$(u,v)\not\in E_1\f$, then \f$(f(u),f(v))\not\in E_2\f$ In addition, the graph nodes may be \e labeled, i.e. we are given two node labelings \f$l_1:V_1\longrightarrow L\f$ and \f$l_2:V_2\longrightarrow L\f$ and we require that \f$l_1(u)=l_2(f(u))\f$ holds for all nodes \f$u \in G\f$. */ /** @defgroup planar Planar Embedding and Drawing @ingroup algs