I would highly appreciate if Tiago or anyone else in this list has an answer to my question in the trailing e-mail. Thank you. On 30/04/22 10:19, Snehal Shekatkar wrote:

Dear Tiago,

I happened to be looking at the code for random graph generation (graph_generation.hh). The code checks whether a generated degree sequence is Graphic or not using Erdos-Gallai condition. If the condition is not satisfied, the code seems to randomly choose a vertex and re-generate its degree. This is logical in most cases.

However, if any of the degree value is greater than "n-1", the size of the graph, clearly a simple graph cannot be generated from such sequence, and it should be immediately changed by re-generating degrees for such vertices. This happens a lot when the degrees are sampled from a right-skewed distribution. But I don't see anything like this in the code. My question is, isn't it inefficient to keep randomly choosing vertices one at a time and change their degrees until the vertices with degree greater than n-1 are reassigned degrees? Is it being done for correctly sampling from a given degree distribution? Or am I missing something? Thank you.

Best regards, SMS

-- Snehal M. Shekatkar https://inferred.in PGP key -> https://inferred.in/snehal_pub_key.txt