isomorphism {RBGL} | R Documentation

## Compute isomorphism from vertices in one graph to those in another graph

### Description

Compute isomorphism from vertices in one graph to those in another graph

### Usage

    isomorphism(g1, g2)

### Arguments

`g1` | one instance of the `graph` class
`g2` | one instance of the `graph` class

### Details

As stated in documentation on isomorphism in Boost Graph Library: An isomorphism is a 1-to-1 mapping of the vertices in one graph to the vertices of another graph such that adjacency is preserved. Another words, given graphs G1 = (V1,E1) and G2 = (V2,E2) an isomorphism is a function f such that for all pairs of vertices a,b in V1, edge (a,b) is in E1 if and only if edge (f(a),f(b)) is in E2.

### Value

Output is true if there exists an isomorphism between g1 and g2, otherwise it's false.

### Author(s)

Li Long <li.long@isb-sib.ch>

### References

Boost Graph Library ( www.boost.org/libs/graph/doc/index.html )

The Boost Graph Library: User Guide and Reference Manual; by Jeremy G. Siek, Lie-Quan Lee, and Andrew Lumsdaine; (Addison-Wesley, Pearson Education Inc., 2002), xxiv+321pp. ISBN 0-201-72914-8

### Examples

    con1 <- file(system.file("XML/dijkex.gxl",package="RBGL"), open="r")
    g1 <- fromGXL(con1)
    close(con1)

    con2 <- file(system.file("XML/conn2.gxl",package="RBGL"), open="r")
    g2 <- fromGXL(con2)
    close(con2)

    isomorphism(g1, g2)

[Package RBGL version 1.18.0 Index]