# ego_size

##### Neighborhood of graph vertices

These functions find the vertices not farther than a given limit from another fixed vertex, these are called the neighborhood of the vertex.

- Keywords
- graphs

##### Usage

```
ego_size(graph, order = 1, nodes = V(graph), mode = c("all", "out", "in"),
mindist = 0)
```ego(graph, order = 1, nodes = V(graph), mode = c("all", "out", "in"),
mindist = 0)

make_ego_graph(graph, order = 1, nodes = V(graph), mode = c("all", "out",
"in"), mindist = 0)

##### Arguments

- graph
The input graph.

- order
Integer giving the order of the neighborhood.

- nodes
The vertices for which the calculation is performed.

- mode
Character constant, it specifies how to use the direction of the edges if a directed graph is analyzed. For ‘out’ only the outgoing edges are followed, so all vertices reachable from the source vertex in at most

`order`

steps are counted. For ‘"in"’ all vertices from which the source vertex is reachable in at most`order`

steps are counted. ‘"all"’ ignores the direction of the edges. This argument is ignored for undirected graphs.- mindist
The minimum distance to include the vertex in the result.

##### Details

The neighborhood of a given order `o`

of a vertex `v`

includes all
vertices which are closer to `v`

than the order. Ie. order 0 is always
`v`

itself, order 1 is `v`

plus its immediate neighbors, order 2
is order 1 plus the immediate neighbors of the vertices in order 1, etc.

`ego_size`

calculates the size of the neighborhoods for the
given vertices with the given order.

`ego`

calculates the neighborhoods of the given vertices with
the given order parameter.

`make_ego_graph`

is creates (sub)graphs from all neighborhoods of
the given vertices with the given order parameter. This function preserves
the vertex, edge and graph attributes.

`connect`

creates a new graph by connecting each vertex to
all other vertices in its neighborhood.

##### Value

`ego_size`

returns with an integer vector.

`ego`

returns with a list of integer vectors.

`make_ego_graph`

returns with a list of graphs.

`connect`

returns with a new graph object.

##### Examples

```
# NOT RUN {
g <- make_ring(10)
ego_size(g, order = 0, 1:3)
ego_size(g, order = 1, 1:3)
ego_size(g, order = 2, 1:3)
ego(g, order = 0, 1:3)
ego(g, order = 1, 1:3)
ego(g, order = 2, 1:3)
# attributes are preserved
V(g)$name <- c("a", "b", "c", "d", "e", "f", "g", "h", "i", "j")
make_ego_graph(g, order = 2, 1:3)
# connecting to the neighborhood
g <- make_ring(10)
g <- connect(g, 2)
# }
```

*Documentation reproduced from package igraph, version 1.2.2, License: GPL (>= 2)*