# layout_with_mds

##### Graph layout by multidimensional scaling

Multidimensional scaling of some distance matrix defined on the vertices of a graph.

- Keywords
- graphs

##### Usage

```
layout_with_mds(graph, dist = NULL, dim = 2,
options = arpack_defaults)
```with_mds(...)

##### Arguments

- graph
The input graph.

- dist
The distance matrix for the multidimensional scaling. If

`NULL`

(the default), then the unweighted shortest path matrix is used.- dim
`layout_with_mds`

supports dimensions up to the number of nodes minus one, but only if the graph is connected; for unconnected graphs, the only possible values is 2. This is because`merge_coords`

only works in 2D.- options
This is currently ignored, as ARPACK is not used any more for solving the eigenproblem

- ...
Passed to

`layout_with_mds`

.

##### Details

`layout_with_mds`

uses metric multidimensional scaling for generating the
coordinates. Multidimensional scaling aims to place points from a higher
dimensional space in a (typically) 2 dimensional plane, so that the distance
between the points are kept as much as this is possible.

By default igraph uses the shortest path matrix as the distances between the
nodes, but the user can override this via the `dist`

argument.

This function generates the layout separately for each graph component and
then merges them via `merge_coords`

.

##### Value

A numeric matrix with `dim`

columns.

##### References

Cox, T. F. and Cox, M. A. A. (2001) *Multidimensional
Scaling*. Second edition. Chapman and Hall.

##### See Also

Other graph layouts: `add_layout_`

,
`component_wise`

,
`layout_as_bipartite`

,
`layout_as_star`

,
`layout_as_tree`

,
`layout_in_circle`

,
`layout_nicely`

,
`layout_on_grid`

,
`layout_on_sphere`

,
`layout_randomly`

,
`layout_with_dh`

,
`layout_with_fr`

,
`layout_with_gem`

,
`layout_with_graphopt`

,
`layout_with_kk`

,
`layout_with_lgl`

,
`layout_with_sugiyama`

,
`layout_`

, `merge_coords`

,
`norm_coords`

, `normalize`

##### Examples

```
# NOT RUN {
g <- sample_gnp(100, 2/100)
l <- layout_with_mds(g)
plot(g, layout=l, vertex.label=NA, vertex.size=3)
# }
```

*Documentation reproduced from package igraph, version 1.2.4.1, License: GPL (>= 2)*