Dynamic DFS in Undirected Graphs: Breaking the $O(m)$ Barrier
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Publication:5232328
DOI10.1137/17M114306XzbMath1420.05166MaRDI QIDQ5232328
Shahbaz Khan, Keerti Choudhary, Shreejit Ray Chaudhury, Surender Baswana
Publication date: 2 September 2019
Published in: SIAM Journal on Computing (Search for Journal in Brave)
Analysis of algorithms and problem complexity (68Q25) Analysis of algorithms (68W40) Graph algorithms (graph-theoretic aspects) (05C85)
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- The incremental maintenance of a depth-first-search tree in directed acyclic graphs
- On dynamic shortest paths problems
- \(f\)-sensitivity distance oracles and routing schemes
- Fully-dynamic min-cut
- Mantaining dynamic matrices for fully dynamic transitive closure
- Depth-first search is inherently sequential
- Fractional cascading. I: A data structuring technique
- A random NC algorithm for depth first search
- A topological approach to dynamic graph connectivity
- Complexity models for incremental computation
- Dynamically switching vertices in planar graphs
- A data structure for dynamic trees
- Fully dynamic biconnectivity in graphs
- Approximate shortest paths avoiding a failed vertex: near optimal data structures for undirected unweighted graphs
- Fault tolerant additive and \((\mu, \alpha)\)-spanners
- Faster randomized worst-case update time for dynamic subgraph connectivity
- The phase transition in random graphs: A simple proof
- Unifying and Strengthening Hardness for Dynamic Problems via the Online Matrix-Vector Multiplication Conjecture
- On Dynamic DFS Tree in Directed Graphs
- A Space-Efficient Algorithm for the Dynamic DFS Problem in Undirected Graphs
- Dynamic Connectivity: Connecting to Networks and Geometry
- Parallel Depth-First Search in General Directed Graphs
- Randomized fully dynamic graph algorithms with polylogarithmic time per operation
- Fully dynamic randomized algorithms for graph spanners
- Dynamic Subgraph Connectivity with Geometric Applications
- Oracles for Distances Avoiding a Failed Node or Link
- Improved Dynamic Reachability Algorithms for Directed Graphs
- Worst-case update times for fully-dynamic all-pairs shortest paths
- New Data Structures for Subgraph Connectivity
- The Complexity of Satisfiability of Small Depth Circuits
- Data Structures for On-Line Updating of Minimum Spanning Trees, with Applications
- Parallel Algorithms for Depth-First Searches I. Planar Graphs
- Finding Dominators in Directed Graphs
- Efficient Planarity Testing
- Sparsification—a technique for speeding up dynamic graph algorithms
- Improved Data Structures for Fully Dynamic Biconnectivity
- Dynamic DFS in Undirected Graphs: breaking the O(m) barrier
- Fully Dynamic Maximal Matching in $O(\log n)$ Update Time (Corrected Version)
- Dynamic spanning forest with worst-case update time: adaptive, Las Vegas, and O(n1/2 - ε)-time
- Fully-dynamic minimum spanning forest with improved worst-case update time
- Fully Dynamic Connectivity Oracles under General Vertex Updates
- Incremental Algorithm for Maintaining DFS Tree for Undirected Graphs
- Fault Tolerant Spanners for General Graphs
- A new approach to dynamic all pairs shortest paths
- Poly-logarithmic deterministic fully-dynamic algorithms for connectivity, minimum spanning tree, 2-edge, and biconnectivity
- Depth-First Search and Linear Graph Algorithms
- An $n^{5/2} $ Algorithm for Maximum Matchings in Bipartite Graphs
- Dynamic graph connectivity in polylogarithmic worst case time
- Fully dynamic geometric spanners
- On the complexity of \(k\)-SAT