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Min st -Cut Oracle for Planar Graphs with Near-Linear Preprocessing Time

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/andp.18471481202openalex-snapshot
Ueber die Auflösung der Gleichungen, auf welche man bei der Untersuchung der linearen Vertheilung galvanischer Ströme geführt wird
inferredcites →https://doi.org/10.1006/jcss.1997.1493openalex-snapshot
Faster Shortest-Path Algorithms for Planar Graphs
inferredcites →https://doi.org/10.1007/3-540-55706-7_22openalex-snapshot
Triangulating planar graphs while minimizing the maximum degree
inferredcites →https://doi.org/10.1007/978-3-540-87744-8_47openalex-snapshot
Path Minima in Incremental Unrooted Trees
inferredcites →https://doi.org/10.1007/978-3-642-04128-0_28openalex-snapshot
Breaking the O(m 2 n) Barrier for Minimum Cycle Bases
inferredcites →https://doi.org/10.1007/bf02579206openalex-snapshot
Matching is as easy as matrix inversion
inferredcites →https://doi.org/10.1016/0022-0000(86)90030-9openalex-snapshot
Finding small simple cycle separators for 2-connected planar graphs
inferredcites →https://doi.org/10.1016/j.jcss.2005.05.007openalex-snapshot
Planar graphs, negative weight edges, shortest paths, and near linear time
inferredcites →https://doi.org/10.1108/ir.1999.04926fae.001openalex-snapshot
Lecture Notes in Computer Science 1205
inferredcites →https://doi.org/10.1137/0109047openalex-snapshot
Multi-Terminal Network Flows
inferredcites →https://doi.org/10.1137/0208012openalex-snapshot
Maximum Flow in Planar Networks
inferredcites →https://doi.org/10.1137/0212005openalex-snapshot
Minimum s - t Cut of a Planar Undirected Network in $O(n\log ^2 (n))$ Time
inferredcites →https://doi.org/10.1137/0216026openalex-snapshot
A Polynomial-Time Algorithm to Find the Shortest Cycle Basis of a Graph
inferredcites →https://doi.org/10.1137/0216064openalex-snapshot
Fast Algorithms for Shortest Paths in Planar Graphs, with Applications
inferredcites →https://doi.org/10.1137/s0895480190177042openalex-snapshot
The All-Pairs Min Cut Problem and the Minimum Cycle Basis Problem on Planar Graphs
inferredcites →https://doi.org/10.1145/1103963.1103966openalex-snapshot
Maintaining information in fully dynamic trees with top trees
inferredcites →https://doi.org/10.1145/1250790.1250879openalex-snapshot
An Õ(mn) Gomory-Hu tree construction algorithm for unweighted graphs
inferredcites →https://doi.org/10.1145/1502793.1502798openalex-snapshot
An O ( n log n ) algorithm for maximum st -flow in a directed planar graph
inferredcites →https://doi.org/10.1145/1993636.1993679openalex-snapshot
Improved algorithms for min cut and max flow in undirected planar graphs
inferredcites →https://doi.org/10.1145/2488608.2488672openalex-snapshot
Structured recursive separator decompositions for planar graphs in linear time
inferredcites →https://doi.org/10.1145/28395.383347openalex-snapshot
Matching is as easy as matrix inversion
inferredcites →https://doi.org/10.4064/fm-21-1-73-84openalex-snapshot
Planar Graphs

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-319-12340-0_20openalex-snapshot
Near-Linear Time Constant-Factor Approximation Algorithm for Branch-Decomposition of Planar Graphs
inferred← citeshttps://doi.org/10.1016/j.cosrev.2025.100867openalex-snapshot
Interdiction in network maximum flow and related problems: A survey
inferred← citeshttps://doi.org/10.1016/j.dam.2018.08.027openalex-snapshot
Near-linear time constant-factor approximation algorithm for branch-decomposition of planar graphs
inferred← citeshttps://doi.org/10.1016/j.jcss.2021.09.008openalex-snapshot
Single-source shortest paths and strong connectivity in dynamic planar graphs
inferred← citeshttps://doi.org/10.1016/j.tcs.2017.10.034openalex-snapshot
Faster shortest paths in dense distance graphs, with applications
inferred← citeshttps://doi.org/10.1109/focs.2010.63openalex-snapshot
Min st-cut Oracle for Planar Graphs with Near-Linear Preprocessing Time
inferred← citeshttps://doi.org/10.1109/focs46700.2020.00019openalex-snapshot
Cut-Equivalent Trees are Optimal for Min-Cut Queries
inferred← citeshttps://doi.org/10.1109/focs52979.2021.00111openalex-snapshot
A Nearly Optimal All-Pairs Min-Cuts Algorithm in Simple Graphs
inferred← citeshttps://doi.org/10.1109/focs52979.2021.00112openalex-snapshot
APMF < APSP? Gomory-Hu Tree for Unweighted Graphs in Almost-Quadratic Time
inferred← citeshttps://doi.org/10.1109/focs54457.2022.00088openalex-snapshot
Breaking the Cubic Barrier for All-Pairs Max-Flow: Gomory-Hu Tree in Nearly Quadratic Time
inferred← citeshttps://doi.org/10.1109/focs57990.2023.00137openalex-snapshot
All-Pairs Max-Flow is no Harder than Single-Pair Max-Flow: Gomory-Hu Trees in Almost-Linear Time
inferred← citeshttps://doi.org/10.1109/sbac-pad.2012.37openalex-snapshot
A Parallel Implementation of Gomory-Hu's Cut Tree Algorithm
inferred← citeshttps://doi.org/10.1137/1.9781611977066.1openalex-snapshot
A Simple Algorithm for Multiple-Source Shortest Paths in Planar Digraphs
inferred← citeshttps://doi.org/10.1137/120864271openalex-snapshot
Multiple-Source Shortest Paths in Embedded Graphs
inferred← citeshttps://doi.org/10.1137/16m1057152openalex-snapshot
Minimum Cuts and Shortest Cycles in Directed Planar Graphs via Noncrossing Shortest Paths
inferred← citeshttps://doi.org/10.1137/19m1291820openalex-snapshot
Minimum Cuts in Surface Graphs
inferred← citeshttps://doi.org/10.1137/21m1463379openalex-snapshot
Approximate Gomory–Hu Tree is Faster than \(\boldsymbol{n}\,\boldsymbol{-\, 1}\) Maximum Flows
inferred← citeshttps://doi.org/10.1145/1810959.1810988openalex-snapshot
Finding shortest non-trivial cycles in directed graphs on surfaces
inferred← citeshttps://doi.org/10.1145/3022730openalex-snapshot
Fault-Tolerant Approximate BFS Structures
inferred← citeshttps://doi.org/10.1145/3055399.3055480openalex-snapshot
Decremental single-source reachability in planar digraphs
inferred← citeshttps://doi.org/10.1145/3188745.3188904openalex-snapshot
Holiest minimum-cost paths and flows in surface graphs
inferred← citeshttps://doi.org/10.1145/3406325.3451073openalex-snapshot
Subcubic algorithms for Gomory–Hu tree in unweighted graphs
inferred← citeshttps://doi.org/10.1145/3406325.3451112openalex-snapshot
Approximate Gomory–Hu tree is faster than n – 1 max-flows
inferred← citeshttps://doi.org/10.1145/3511541openalex-snapshot
Exact Distance Oracles for Planar Graphs with Failing Vertices
inferred← citeshttps://doi.org/10.1145/3580474openalex-snapshot
Almost Optimal Exact Distance Oracles for Planar Graphs
inferred← citeshttps://doi.org/10.4230/lipics.icalp.2018.61openalex-snapshot
Improved Bounds for Shortest Paths in Dense Distance Graphs
inferred← citeshttps://doi.org/10.4230/lipics.socg.2016.22openalex-snapshot
All-Pairs Minimum Cuts in Near-Linear Time for Surface-Embedded Graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1303.0728openalex-snapshot
Computing Minimum Cycle Bases in Weighted Partial 2-Trees in Linear Time
inferred← citeshttps://doi.org/10.48550/arxiv.1407.6761openalex-snapshot
Near-Linear Time Constant-Factor Approximation Algorithm for Branch-Decomposition of Planar Graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1607.05112openalex-snapshot
Minimum cycle and homology bases of surface embedded graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1705.11163openalex-snapshot
Decremental Single-Source Reachability in Planar Digraphs
inferred← citeshttps://doi.org/10.48550/arxiv.1706.00880openalex-snapshot
Cycle flow formulation of optimal network flow problems for centralized and decentralized solvers
inferred← citeshttps://doi.org/10.5281/zenodo.23257148openalex-snapshot
Decremental Transitive Closure and Shortest Paths for Planar Digraphs and Beyond
inferred← citeshttps://doi.org/10.7155/jgaa.00325openalex-snapshot
Computing Minimum Cycle Bases in Weighted Partial 2-Trees in Linear Time
inferred← citeshttps://doi.org/10.7301/z0hd7t0fopenalex-snapshot
Efficient Algorithms for Shortest-Path and Maximum-Flow Problems in Planar Graphs
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