Create graphs from an incidence matrix

graph_from_incidence_matrix creates a bipartite igraph graph from an incidence matrix.

graph_from_incidence_matrix(incidence, directed = FALSE, mode = c("all",
  "out", "in", "total"), multiple = FALSE, weighted = NULL,
  add.names = NULL)



The input incidence matrix. It can also be a sparse matrix from the Matrix package.


Logical scalar, whether to create a directed graph.


A character constant, defines the direction of the edges in directed graphs, ignored for undirected graphs. If ‘out’, then edges go from vertices of the first kind (corresponding to rows in the incidence matrix) to vertices of the second kind (columns in the incidence matrix). If ‘in’, then the opposite direction is used. If ‘all’ or ‘total’, then mutual edges are created.


Logical scalar, specifies how to interpret the matrix elements. See details below.


This argument specifies whether to create a weighted graph from the incidence matrix. If it is NULL then an unweighted graph is created and the multiple argument is used to determine the edges of the graph. If it is a character constant then for every non-zero matrix entry an edge is created and the value of the entry is added as an edge attribute named by the weighted argument. If it is TRUE then a weighted graph is created and the name of the edge attribute will be ‘weight’.


A character constant, NA or NULL. graph_from_incidence_matrix can add the row and column names of the incidence matrix as vertex attributes. If this argument is NULL (the default) and the incidence matrix has both row and column names, then these are added as the ‘name’ vertex attribute. If you want a different vertex attribute for this, then give the name of the attributes as a character string. If this argument is NA, then no vertex attributes (other than type) will be added.


Passed to graph_from_incidence_matrix.


Bipartite graphs have a ‘type’ vertex attribute in igraph, this is boolean and FALSE for the vertices of the first kind and TRUE for vertices of the second kind.

graph_from_incidence_matrix can operate in two modes, depending on the multiple argument. If it is FALSE then a single edge is created for every non-zero element in the incidence matrix. If multiple is TRUE, then the matrix elements are rounded up to the closest non-negative integer to get the number of edges to create between a pair of vertices.


A bipartite igraph graph. In other words, an igraph graph that has a vertex attribute type.

See Also

make_bipartite_graph for another way to create bipartite graphs

  • graph_from_incidence_matrix
  • graph.incidence
  • from_incidence_matrix
inc <- matrix(sample(0:1, 15, repl=TRUE), 3, 5)
colnames(inc) <- letters[1:5]
rownames(inc) <- LETTERS[1:3]

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

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