'How do I create a random bipartite graph with fixed degree sequence?

I would like generate a random bipartite graph with a fixed degree sequence in igraph or other r package. I am familiar with how to generate a random graph with a fixed degree sequence and how to generate random bipartite graph in igraph--but I cannot sort out how to generate a random bipartite graph with a fixed degree sequence (as described by Newman, Watts and Strogatz (2002)).

r igraph bipartite

Solution 1:^[1]

We can use sample_degseq by defining out.degree and in.degree (borrowing data from the answer by @Szabolcs)

sample_degseq(c(deg1, 0 * deg2), c(0 * deg1, deg2)) %>%
  set_vertex_attr(name = "type", value = degree(., mode = "out") > 0) %>%
  plot(layout = layout_as_bipartite)

which produces a graph like below

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Solution 1

'How do I create a random bipartite graph with fixed degree sequence?

Solution 1:[1]

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Solution 1:^[1]