Visualization library for networks and dependencies

this is a more general question asking about Python libraries that are able to showcase networks with following criterias:

• Different size of the nodes depending on a metric (e.g. sum of some variable X received by all other nodes)
• Direction of the connection between the nodes (e.g. Node A sends X units to Node B, while Node B sends Y units to Node A and Q units to Node C) - So a node can receive and send at the same time.
• The connectors may vary in thickness relative to each other depending how many units they receive/send
• Dynamic UI - Network should be dynamic for e.g. filters like date ranges etc. that can be selected by the user.

I checked for Networkx and Plotlty, however they do not satisfy the direction criteria of the connectors.

Someone any idea?

A representation like this would work as well: https://viz.ged-project.de/