If I create some connected graphs, and ask SageMath for their spectral radius, the command never returns (well, I have only let it run for a few minutes) if the target is a tree.
Here is a simple example:
g = graphs.CompleteBipartiteGraph(1,3)
print g.spectrum()
print g.spectral_radius()
The only advertised requirement for the target is that it be strongly connected, but as it is a connected graph, this should automatically be satisfied.
Yes, I can work around by computing the spectrum and taking the biggest, but I'd still like to know why this does not work.
