Exact Learning of Multitrees and Almost-Trees Using Path Queries

Ramtin Afshar; Michael T. Goodrich

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arXiv · 2208.04216

Exact Learning of Multitrees and Almost-Trees Using Path Queries

Ramtin Afshar·Michael T. Goodrich

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Abstract

Given a directed graph, G=(V,E), a path query, path(u,v), returns whether there is a directed path from u to v in G, for u,v vertices in V. Given only V, exactly learning all the edges in G using path queries is often impossible, since path queries cannot detect transitive edges. In this paper, we study the query complexity of exact learning for cases when learning G is possible using path queries. In particular, we provide efficient learning algorithms, as well as lower bounds, for multitrees and almost-trees, including butterfly networks.

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BibTeX RIS

Ramtin Afshar, Michael T. Goodrich. 2022-08-08. Exact Learning of Multitrees and Almost-Trees Using Path Queries. https://arxiv.org/abs/2208.04216

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