Learning and verifying graphs using queries with a focus on edge counting

L Reyzin, N Srivastava - … Theory: 18th International Conference, ALT 2007 …, 2007 - Springer
We consider the problem of learning and verifying hidden graphs and their properties given
query access to the graphs. We analyze various queries (edge detection, edge counting …

Robust multi-source network tomography using selective probes

A Krishnamurthy, A Singh - 2012 Proceedings IEEE INFOCOM, 2012 - ieeexplore.ieee.org
Knowledge of a network's topology and internal characteristics such as delay times or losses
is crucial to maintain seamless operation of network services. Network tomography is a …

Graph reconstruction and verification

S Kannan, C Mathieu, H Zhou - ACM Transactions on Algorithms (TALG), 2018 - dl.acm.org
How efficiently can we find an unknown graph using distance or shortest path queries
between its vertices? We assume that the unknown graph G is connected, unweighted, and …

Topology discovery of sparse random graphs with few participants

A Anandkumar, A Hassidim, J Kelner - ACM SIGMETRICS Performance …, 2011 - dl.acm.org
We consider the task of topology discovery of sparse random graphs using end-to-end
random measurements (eg, delay) between a subset of nodes, referred to as the …

Reconstructing biological and digital phylogenetic trees in parallel

R Afshar, MT Goodrich, P Matias… - ar** algorithms
R Afshar, MT Goodrich, P Matias… - Proceedings of the 33rd …, 2021 - dl.acm.org
Motivated from parallel network map**, we provide efficient query complexity and round
complexity bounds for graph reconstruction using distance queries, including a bound that …

Exact learning of multitrees and almost-trees using path queries

R Afshar, MT Goodrich - Latin American Symposium on Theoretical …, 2022 - Springer
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∈ V. Given only V, exactly learning all the edges in G …

Graph reconstruction via distance oracles

C Mathieu, H Zhou - International Colloquium on Automata, Languages …, 2013 - Springer
We study the problem of reconstructing a hidden graph given access to a distance oracle.
We design randomized algorithms for the following problems: reconstruction of a degree …