On Learning a Hidden Directed Graph with Path Queries [article]

Mano Vikash Janardhanan, Lev Reyzin
2021 arXiv   pre-print
In this paper, we consider the problem of reconstructing a directed graph using path queries. In this query model of learning, a graph is hidden from the learner, and the learner can access information about it with path queries. For a source and destination node, a path query returns whether there is a directed path from the source to the destination node in the hidden graph. In this paper we first give bounds for learning graphs on n vertices and k strongly connected components. We then study
more » ... the case of bounded degree directed trees and give new algorithms for learning "almost-trees" – directed trees to which extra edges have been added. We also give some lower bound constructions justifying our approach.
arXiv:2002.11541v2 fatcat:e7zilyzdaval3hg4y4rmsoxcky