# Determine Neighbourhood Order Matrix from Binary Adjacency Matrix

`nbOrder.Rd`

Given a square binary adjacency matrix, the function
`nbOrder`

determines the integer matrix of neighbourhood orders
(shortest-path distance).

## Arguments

- neighbourhood
a square, numeric or logical, and usually symmetric matrix with finite entries (and usually zeros on the diagonal) which indicates vertex adjacencies, i.e., first-order neighbourhood (interpreted as

`neighbourhood == 1`

,*not*`>0`

).- maxlag
positive scalar integer specifying an upper bound for the neighbourhood order. The default (

`Inf`

) means no truncation (but orders cannot be larger than the number of regions minus 1), whereas`maxlag = 1`

just returns the input neighbourhood matrix (converted to binary integer mode).

## Value

An integer matrix of neighbourhood orders, i.e., the shortest-path
distance matrix of the vertices.
The `dimnames`

of the input `neighbourhood`

matrix are preserved.

## See also

`nblag`

from the spdep package