I am trying to create a directed simulated preferential attachment complex network with self loops, similar to something like this: [image] (This is the oncology_network dataset available in the ig.degree.betweenness package . Plotted with the ig.degree.betweenness::plot_simplified_edgeplot() func…

How would the connection probabilities be computed? Can you give a concrete example?

I presently do not have any framework thus far. All I know is that for real collaboration networks, this structure is really common. PA seems to be the approach I’ve done a brief search on Google scholar and I have only managed to find another self looping network which comes from a real world da…

igraph has a rather general implementation of preferential attachment that could be in principle extended. When a new vertex is added, each of its m edges will connect each existing vertex i with probability proportional to d_i^\alpha + A where \alpha and A are parameters. d can be either the in-…

@szhorvat not sure if I’ll be able to come up with something on such short notice. However I have found these papers which might be relevant: https://arxiv.org/pdf/2301.13730 PAGA-AISTAT2015.pdf 1527.68 KB It appears to note the present limitation with igra…

Box 5.1 here discusses a variant with self-loops: [image] Network Science by Albert-László Barabási The power of network science, the beauty of network visualization.

This might work. Is there a way to do this with the igraph r package?

@szhorvat I believe I have something that works. I will do some more digging though.

Creating Preferential Attachment (PA) Complex Networks with Self Loops

Usage

szhorvat 12 August 2025 19:48 6

Box 5.1 here discusses a variant with self-loops:

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Creating Preferential Attachment (PA) Complex Networks with Self Loops

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