is_bipartite: Create a bipartite graph

Description

A bipartite graph has two kinds of vertices and connections are only allowed between different kinds.

Usage

is_bipartite(graph)
make_bipartite_graph(types, edges, directed = FALSE)
bipartite_graph(...)

Arguments

graph

The input graph.

types

A vector giving the vertex types. It will be coerced into boolean. The length of the vector gives the number of vertices in the graph.

edges

A vector giving the edges of the graph, the same way as for the regular graph function. It is checked that the edges indeed connect vertices of different kind, accoding to the supplied types vect

directed

Whether to create a directed graph, boolean constant. Note that by default undirected graphs are created, as this is more common for bipartite graphs.

...

Passed to make_bipartite_graph.

Value

make_bipartite_graph returns a bipartite igraph graph. In other words, an igraph graph that has a vertex attribute named type.
is_bipartite returns a logical scalar.

Details

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.

make_bipartite_graph basically does three things. First it checks tha edges vector against the vertex types. Then it creates a graph using the edges vector and finally it adds the types vector as a vertex attribute called type.

is_bipartite checks whether the graph is bipartite or not. It just checks whether the graph has a vertex attribute called type.

Examples

Run this code

g <- make_bipartite_graph( rep(0:1,length=10), c(1:10))
print(g, v=TRUE)