As far as I can tell, there is not much connection between the various sage-combinant trees and the "graph theory" ones. E.g. I couldn't figure out how to get

sage: G = graphs.BalancedTree(2,5)
sage: G.show(vertex_labels=False, vertex_size=0, layout='tree', tree_root=0)

from the combinatorial ones.

This might just be missing documentation, or an enhancement request to connect them more.

CC: @hivert @fchapoton

Component: graph theory

Issue created by migration from https://trac.sagemath.org/ticket/29270