what is the role of vweight in the constructor to BlockState? In
particular, I'm trying to understand how the result of
minimize_(nested_)blockmodel_dl will be different if certain vertices are
assigned higher weights in the graph.
I believe that if the eweight between a pair of nodes is increased, then
the two nodes are more likely to end up in the same block (more or less).
Would the opposite be true if their vweight is increased?
what is the role of vweight in the constructor to BlockState? In particular,
I'm trying to understand how the result of minimize_(nested_)blockmodel_dl
will be different if certain vertices are assigned higher weights in the
graph.
As stated in the documentation, like eweight, vweight denotes multiplicity.
So a node v with vweight[v] == 2 counts as two nodes.
These parameters are useful for working with summarized versions of the
network, which are used by some algorithms in graph-tool. It is meant mostly
for internal use, not as a means of introduction arbitrary weights to nodes
and edges.
I believe that if the eweight between a pair of nodes is increased, then the
two nodes are more likely to end up in the same block (more or less). Would
the opposite be true if their vweight is increased?
No, this interpretation is not correct. Increasing the edge or node
multiplicity can have varied effects, it depends on the rest of the network.