Finds blocks of nodes with intra-positive and inter-negative edges

signed_blockmodel(g, k, alpha = 0.5, annealing = FALSE)

g | igraph object. Must have a "sign" edge attribute. |
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k | number of blocks |

alpha | see details |

annealing | logical. if TRUE, use simulated annealing (Default: FALSE) |

numeric vector of block assignments and the associated criterion value

The function minimizes P(C)=\(\alpha\)N+(1-\(\alpha\))P, where N is the total number of negative ties within plus-sets and P be the total number of positive ties between plus-sets. This function implementes the structural balance model. That is, all diagonal blocks are positive and off-diagonal blocks negative. For the generalized version see signed_blockmodel_general.

Doreian, Patrick and Andrej Mrvar (2009). Partitioning signed social networks. *Social Networks* 31(1) 1-11

library(igraph) g <- sample_islands_signed(10,10,1,20) clu <- signed_blockmodel(g,k = 10,alpha = 0.5) table(clu$membership)#> #> 1 2 3 4 5 6 7 8 9 10 #> 10 10 10 10 10 10 10 10 10 10clu$criterion#> [1] 0# Using simulated annealing (less change of getting trapped in local optima) data("tribes") clu <- signed_blockmodel(tribes,k = 3,alpha=0.5,annealing = TRUE) table(clu$membership)#> #> 1 2 3 #> 5 7 4clu$criterion#> [1] 2