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A New Approach to Incremental Cycle Detection and Related Problems

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What this work says

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

inferredcites →https://doi.org/10.1007/11785293_8openalex-snapshot
An ${\cal O}(n^{2.75})$ Algorithm for Online Topological Ordering
inferredcites →https://doi.org/10.1007/3-540-45749-6_17openalex-snapshot
Two Simplified Algorithms for Maintaining Order in a List
inferredcites →https://doi.org/10.1007/978-3-540-24838-5_29openalex-snapshot
A Dynamic Algorithm for Topologically Sorting Directed Acyclic Graphs
inferredcites →https://doi.org/10.1007/978-3-540-70575-8_35openalex-snapshot
Faster Algorithms for Incremental Topological Ordering
inferredcites →https://doi.org/10.1007/978-3-540-77120-3_41openalex-snapshot
Average-Case Analysis of Online Topological Ordering
inferredcites →https://doi.org/10.1016/0020-0190(74)90001-5openalex-snapshot
A structured program to generate all topological sorting arrangements
inferredcites →https://doi.org/10.1016/0020-0190(96)00075-0openalex-snapshot
Maintaining a topological order under edge insertions
inferredcites →https://doi.org/10.1016/j.endm.2006.06.050openalex-snapshot
An algorithm for online topological ordering
inferredcites →https://doi.org/10.1016/j.tcs.2007.08.009openalex-snapshot
A tight analysis of the Katriel–Bodlaender algorithm for online topological ordering
inferredcites →https://doi.org/10.1093/comjnl/17.4.324openalex-snapshot
The Art of Computer Programming, Volume 3, Sorting and Searching
inferredcites →https://doi.org/10.1109/scam.2003.1238026openalex-snapshot
Online cycle detection and difference propagation for pointer analysis
inferredcites →https://doi.org/10.1137/0201010openalex-snapshot
Depth-First Search and Linear Graph Algorithms
inferredcites →https://doi.org/10.1137/0203006openalex-snapshot
Finding Dominators in Directed Graphs
inferredcites →https://doi.org/10.1137/060650271openalex-snapshot
Improved Dynamic Reachability Algorithms for Directed Graphs
inferredcites →https://doi.org/10.1137/1.9781611970265openalex-snapshot
Data Structures and Network Algorithms
inferredcites →https://doi.org/10.1145/1159892.1159896openalex-snapshot
Online topological ordering
inferredcites →https://doi.org/10.1145/1187436.1210590openalex-snapshot
A dynamic topological sort algorithm for directed acyclic graphs
inferredcites →https://doi.org/10.1145/1383369.1383370openalex-snapshot
An O ( n 2.75 ) algorithm for incremental topological ordering
inferredcites →https://doi.org/10.1145/2071379.2071382openalex-snapshot
Incremental Cycle Detection, Topological Ordering, and Strong Component Maintenance
inferredcites →https://doi.org/10.1145/28395.28434openalex-snapshot
Two algorithms for maintaining order in a list
inferredcites →https://doi.org/10.1145/321879.321884openalex-snapshot
Efficiency of a Good But Not Linear Set Union Algorithm
inferredcites →https://doi.org/10.1145/359168.359175openalex-snapshot
Storing a sparse table
inferredcites →https://doi.org/10.1145/368996.369025openalex-snapshot
Topological sorting of large networks
inferredcites →https://doi.org/10.1145/512274.3734138openalex-snapshot
Algorithm 232: Heapsort
inferredcites →https://doi.org/10.1145/512274.512284openalex-snapshot
Algorithm 230: Matrix Permutation
inferredcites →https://doi.org/10.1145/62.2160openalex-snapshot
Worst-case Analysis of Set Union Algorithms
inferredcites →https://doi.org/10.1287/opre.27.1.161openalex-snapshot
Shortest-Route Methods: 1. Reaching, Pruning, and Buckets
inferredcites →https://doi.org/10.2307/2282802openalex-snapshot
Structural Models: An Introduction to the Theory of Directed Graphs.
inferredcites →https://doi.org/10.2307/2283757openalex-snapshot
The Art of Computer Programming. Volume 1: Fundamental Algorithms.
inferredcites →https://doi.org/10.2307/3007289openalex-snapshot
Structural Models: An Introduction to the Theory of Directed Graphs
inferredcites →https://doi.org/10.4064/fm-16-1-386-389openalex-snapshot
Sur l'extension de l'ordre partiel
inferredcites →https://doi.org/10.48550/arxiv.cs/0602073openalex-snapshot
An O(n^{2.75}) algorithm for online topological ordering
inferredcites →https://doi.org/10.5555/1496770.1496890openalex-snapshot
A new approach to incremental topological ordering
inferredcites →https://doi.org/10.5555/314161.314187openalex-snapshot
Buckets, heaps, lists, and monotone priority queues
inferredcites →https://doi.org/10.5555/320176.320180openalex-snapshot
Incremental evaluation of computational circuits

What points at this work

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

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Encoding Path Sets in Acyclic Subgraphs
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A Pragmatic Non-blocking Concurrent Directed Acyclic Graph
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Automated Verification of the Parallel Bellman–Ford Algorithm
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SMT-Based Verification of Persistency Invariants of Px86 Programs
inferred← citeshttps://doi.org/10.1007/978-3-031-37703-7_12openalex-snapshot
Incremental Dead State Detection in Logarithmic Time
inferred← citeshttps://doi.org/10.1007/978-3-319-77404-6_39openalex-snapshot
Incremental Strong Connectivity and 2-Connectivity in Directed Graphs
inferred← citeshttps://doi.org/10.1007/s00236-015-0248-8openalex-snapshot
Efficient processing of simple temporal networks with uncertainty: algorithms for dynamic controllability verification
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Using reactive links to propagate changes across engineering models
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Beyond rankings: comparing directed acyclic graphs
inferred← citeshttps://doi.org/10.1007/s10639-022-11576-6openalex-snapshot
Conflict recognition in CSCL sessions through the identification of cycles in conversational graphs
inferred← citeshttps://doi.org/10.1007/s11390-025-4300-zopenalex-snapshot
Incremental Detection of Strongly Connected Components for Scholarly Data
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/10.1017/s0956796817000028openalex-snapshot
A comprehensible guide to a new unifier for CIC including universe polymorphism and overloading
inferred← citeshttps://doi.org/10.1038/s41598-026-44835-4openalex-snapshot
Persistent cycles and network resilience: a hypernetwork-based framework for temporal graph analysis
inferred← citeshttps://doi.org/10.1090/mcom/3513openalex-snapshot
Approximations of the Lagrange and Markov spectra
inferred← citeshttps://doi.org/10.1109/focs46700.2020.00108openalex-snapshot
Deterministic Decremental Reachability, SCC, and Shortest Paths via Directed Expanders and Congestion Balancing
inferred← citeshttps://doi.org/10.1109/focs52979.2021.00100openalex-snapshot
Deterministic Decremental SSSP and Approximate Min-Cost Flow in Almost-Linear Time
inferred← citeshttps://doi.org/10.1109/icbda.2018.8367653openalex-snapshot
An algorithmic approach to handle circular trading in commercial taxation system
inferred← citeshttps://doi.org/10.1109/scam67354.2025.00011openalex-snapshot
Insights into Optimizing Research Software: A Case of an Architecture-Smell Detection Tool
inferred← citeshttps://doi.org/10.1137/1.9781611975994.153openalex-snapshot
An Improved Algorithm for Incremental Cycle Detection and Topological Ordering in Sparse Graphs
inferred← citeshttps://doi.org/10.1137/1.9781611976465.146openalex-snapshot
Incremental Single Source Shortest Paths in Sparse Digraphs
inferred← citeshttps://doi.org/10.1137/1.9781611977073.137openalex-snapshot
Incremental SSSP for Sparse Digraphs Beyond the Hopset Barrier
inferred← citeshttps://doi.org/10.1137/15m1050987openalex-snapshot
Matching Triangles and Basing Hardness on an Extremely Popular Conjecture
inferred← citeshttps://doi.org/10.1137/20m1312149openalex-snapshot
Decremental Strongly Connected Components and Single-Source Reachability in Near-Linear Time
inferred← citeshttps://doi.org/10.1145/3192366.3192390openalex-snapshot
D4: fast concurrency debugging with parallel differential analysis
inferred← citeshttps://doi.org/10.1145/3293606openalex-snapshot
Rethinking Incremental and Parallel Pointer Analysis
inferred← citeshttps://doi.org/10.1145/3296979.3192390openalex-snapshot
D4: fast concurrency debugging with parallel differential analysis
inferred← citeshttps://doi.org/10.1145/3357713.3384236openalex-snapshot
New algorithms and hardness for incremental single-source shortest paths in directed graphs
inferred← citeshttps://doi.org/10.1145/3371076openalex-snapshot
Coq Coq correct! verification of type checking and erasure for Coq, in Coq
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PathEnum: Towards Real-Time Hop-Constrained s-t Path Enumeration
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Symbolic Boolean derivatives for efficiently solving extended regular expression constraints
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Satisfiability modulo ordering consistency theory for multi-threaded program verification
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Subquadratic dynamic path reporting in directed graphs against an adaptive adversary
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SHARP: fast incremental context-sensitive pointer analysis for Java
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Satisfiability Modulo Ordering Consistency Theory for SC, TSO, and PSO Memory Models
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Almost-Linear Time Algorithms for Incremental Graphs: Cycle Detection, SCCs, s-t Shortest Path, and Minimum-Cost Flow
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Efficient Distributed Hop-Constrained Path Enumeration on Large-Scale Graphs
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Correct and Complete Type Checking and Certified Erasure for Coq , in Coq
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Accelerating Skyline Path Enumeration with a Core Attribute Index on Multi-attribute Graphs
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Minimum Strongly Connected Subgraph Collection in Dynamic Graphs
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Incremental Dynamic Controllability Revisited
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Transition-based Semantic Dependency Parsing with Pointer Networks
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A Novel Approach for Circular Trade Detection in Mercantile Exchange
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Transformation of Differential Algebraic Array Equations to Index One Form
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Efficient Temporal Reasoning with Uncertainty
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A Multi-Threading Algorithm to Detect and Remove Cycles in Vertex- and Arc-Weighted Digraph
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Correct optimized GPU programs
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Touring the MetaCoq Project (Invited Paper)
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Incremental $2$-Edge-Connectivity in Directed Graphs
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Incremental Low-High Orders of Directed Graphs and Applications
inferred← citeshttps://doi.org/10.48550/arxiv.1402.0054openalex-snapshot
Popular conjectures imply strong lower bounds for dynamic problems
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An algorithmic approach to handle circular trading in commercial taxing system
inferred← citeshttps://doi.org/10.48550/arxiv.1804.01276openalex-snapshot
Maintenance of Strongly Connected Component in Shared-memory Graph
inferred← citeshttps://doi.org/10.48550/arxiv.1908.03773openalex-snapshot
Approximation of the Lagrange and Markov spectra
inferred← citeshttps://doi.org/10.48550/arxiv.2102.11169openalex-snapshot
Recent Advances in Fully Dynamic Graph Algorithms
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Touring the MetaCoq Project (Invited Paper)
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