nkpar {blockmodeling} R Documentation

## Functions for listing all possible partitions or just counting the number of them

### Description

The function `nkpartitions` lists all possible partitions of n objects in to k clusters.

### Usage

```nkpar(n, k)

nkpartitions(n, k, exact = TRUE, print = FALSE)
```

### Arguments

 `n` Number of units/objects. `k` Number of clusters/groups. `exact` Search for partitions with exactly `k` or at most `k` clusters. `print` Print results as they are found.

### Value

The matrix or number of possible partitions.

Chris Andrews

### Examples

```n <- 8 # If larger, the number of partitions increases dramatically,
# as does if we increase the number of clusters
net <- matrix(NA, ncol = n, nrow = n)
clu <- rep(1:2, times = c(3, 5))
tclu <- table(clu)
net[clu == 1, clu == 1] <- rnorm(n = tclu * tclu, mean = 0, sd = 1)
net[clu == 1, clu == 2] <- rnorm(n = tclu * tclu, mean = 4, sd = 1)
net[clu == 2, clu == 1] <- rnorm(n = tclu * tclu, mean = 0, sd = 1)
net[clu == 2, clu == 2] <- rnorm(n = tclu * tclu, mean = 0, sd = 1)
# Computation of criterion function with the correct partition
nkpar(n = n, k = length(tclu)) # Computing the number of partitions
all.par <- nkpartitions(n = n, k = length(tclu)) # Forming the partitions
all.par <- lapply(apply(all.par, 1, list), function(x) x[])
# to make a list out of the matrix
res <- critFunC(M = net, clu = clu, approaches = "val",
blocks = c("nul", "com"), preSpecM = 4)
plot(res) # We get the original partition

```

[Package blockmodeling version 1.0.5 Index]