For constant-connectivity networks, exact minimum cut is computed in poly(diameter) rounds, all edge connectivities up to a constant in poly(diameter) times 2^{O(sqrt(log n log log n))}, and sparse certificates in almost O(1) rounds.
Deterministic combinatorial replacement paths and distance sensitivity oracles
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
cs.DS 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Small Cuts and Connectivity Certificates: A Fault Tolerant Approach
For constant-connectivity networks, exact minimum cut is computed in poly(diameter) rounds, all edge connectivities up to a constant in poly(diameter) times 2^{O(sqrt(log n log log n))}, and sparse certificates in almost O(1) rounds.