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Finding a Minimum Circuit in a Graph

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What this work says

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

inferredcites →https://doi.org/10.1007/3-540-08342-1_20openalex-snapshot
Some matching problems
inferredcites →https://doi.org/10.1007/bf01894680openalex-snapshot
On chromatic number of finite set-systems
inferredcites →https://doi.org/10.1007/bf02165411openalex-snapshot
Gaussian elimination is not optimal
inferredcites →https://doi.org/10.1112/blms/1.3.431openalex-snapshot
INTRODUCTION TO COMBINATORIAL MATHEMATICS
inferredcites →https://doi.org/10.1137/0205006openalex-snapshot
New Bounds on the Complexity of the Shortest Path Problem
inferredcites →https://doi.org/10.21236/ad0705364openalex-snapshot
GRAPH THEORY
inferredcites →https://doi.org/10.4153/cjm-1961-029-9openalex-snapshot
Graph Theory and Probability. II

What points at this work

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

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Breaking the Hegemony of the Triangle Method in Clique Detection
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Getting linear time in graphs of bounded neighborhood diversity
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Recognizing small subgraphs
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Determining Performance Measures of Algorithm-Based Fault Tolerant Systems
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Decomposition Plans for Geometric Constraint Systems, Part I: Performance Measures for CAD
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Decomposition Plans for Geometric Constraint Problems, Part II: New Algorithms
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Finding, Counting and Listing All Triangles in Large Graphs, an Experimental Study
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Finding the Smallest H-Subgraph in Real Weighted Graphs and Related Problems
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Dynamic Programming and Fast Matrix Multiplication
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Algorithms and Constraint Programming
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Faster Fixed Parameter Tractable Algorithms for Undirected Feedback Vertex Set
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Computing the Girth of a Planar Graph
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Maximum Clique Transversals
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Euler Graphs, Triangle-Free Graphs and Bipartite Graphs in Switching Classes
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Finding even cycles even faster
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Dominoes
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Finding and counting small induced subgraphs efficiently
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Maximum Two-Satisfiability
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Bounded Search Trees
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Parameterized Computational Feasibility
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Exact Algorithms for Maximum Two-Satisfiability
inferred← citeshttps://doi.org/10.1007/978-3-030-03599-0_5openalex-snapshot
Higher-Order Structure-Based Graph Decomposition
inferred← citeshttps://doi.org/10.1007/978-3-030-25027-0_22openalex-snapshot
Rare Siblings Speed-Up Deterministic Detection and Counting of Small Pattern Graphs
inferred← citeshttps://doi.org/10.1007/978-3-030-58150-3_2openalex-snapshot
Linear-Time Algorithms for Eliminating Claws in Graphs
inferred← citeshttps://doi.org/10.1007/978-3-030-59065-9_12openalex-snapshot
A Scalable Randomized Algorithm for Triangle Enumeration on Graphs Based on SQL Queries
inferred← citeshttps://doi.org/10.1007/978-3-030-59416-9_31openalex-snapshot
AOT: Pushing the Efficiency Boundary of Main-Memory Triangle Listing
inferred← citeshttps://doi.org/10.1007/978-3-031-20624-5_7openalex-snapshot
Computing and Listing Avoidable Vertices and Paths
inferred← citeshttps://doi.org/10.1007/978-3-031-34347-6_16openalex-snapshot
Finding Small Complete Subgraphs Efficiently
inferred← citeshttps://doi.org/10.1007/978-3-031-39344-0_8openalex-snapshot
Approximate Core Allocations for Edge Cover Games
inferred← citeshttps://doi.org/10.1007/978-3-319-11749-2_18openalex-snapshot
Common Neighbor Query-Friendly Triangulation-Based Large-Scale Graph Compression
inferred← citeshttps://doi.org/10.1007/978-3-319-13350-8_13openalex-snapshot
Quantum Complexity of Boolean Matrix Multiplication and Related Problems
inferred← citeshttps://doi.org/10.1007/978-3-319-18173-8_21openalex-snapshot
Algorithms Solving the Matching Cut Problem
inferred← citeshttps://doi.org/10.1007/978-3-319-21840-3_39openalex-snapshot
Dynamic Set Intersection
inferred← citeshttps://doi.org/10.1007/978-3-319-29516-9_8openalex-snapshot
Enumerating Cyclic Orientations of a Graph
inferred← citeshttps://doi.org/10.1007/978-3-319-30139-6_16openalex-snapshot
Counting Subgraphs in Relational Event Graphs
inferred← citeshttps://doi.org/10.1007/978-3-319-53925-6_17openalex-snapshot
A Fast Deterministic Detection of Small Pattern Graphs in Graphs Without Large Cliques
inferred← citeshttps://doi.org/10.1007/978-3-319-69131-2_21openalex-snapshot
Formal Models of Conflicting Social Influence
inferred← citeshttps://doi.org/10.1007/978-3-319-71147-8_12openalex-snapshot
Listing Acyclic Subgraphs and Subgraphs of Bounded Girth in Directed Graphs
inferred← citeshttps://doi.org/10.1007/978-3-319-71249-9_37openalex-snapshot
K-Clique-Graphs for Dense Subgraph Discovery
inferred← citeshttps://doi.org/10.1007/978-3-319-94667-2_17openalex-snapshot
Efficient Enumeration of Subgraphs and Induced Subgraphs with Bounded Girth
inferred← citeshttps://doi.org/10.1007/978-3-319-96151-4_32openalex-snapshot
Parameterized Algorithms for Module Map Problems
inferred← citeshttps://doi.org/10.1007/978-3-540-27836-8_101openalex-snapshot
A New Algorithm for Optimal Constraint Satisfaction and Its Implications
inferred← citeshttps://doi.org/10.1007/978-3-540-28639-4_21openalex-snapshot
Parameterized Algorithms for Feedback Vertex Set
inferred← citeshttps://doi.org/10.1007/978-3-540-28639-4_23openalex-snapshot
Improved Parameterized Algorithms for Feedback Set Problems in Weighted Tournaments
inferred← citeshttps://doi.org/10.1007/978-3-540-28639-4_25openalex-snapshot
Space and Time Complexity of Exact Algorithms: Some Open Problems
inferred← citeshttps://doi.org/10.1007/978-3-540-30551-4_35openalex-snapshot
Error Compensation in Leaf Root Problems
inferred← citeshttps://doi.org/10.1007/978-3-540-30559-0_12openalex-snapshot
Decremental Clique Problem
inferred← citeshttps://doi.org/10.1007/978-3-540-45078-8_42openalex-snapshot
Parameterized Complexity of Directed Feedback Set Problems in Tournaments
inferred← citeshttps://doi.org/10.1007/978-3-540-73545-8_39openalex-snapshot
Linear Time Algorithms for Finding a Dominating Set of Fixed Size in Degenerated Graphs
inferred← citeshttps://doi.org/10.1007/978-3-540-78773-0_63openalex-snapshot
Efficient Approximation Algorithms for Shortest Cycles in Undirected Graphs
inferred← citeshttps://doi.org/10.1007/978-3-642-02927-1_63openalex-snapshot
Computing the Girth of a Planar Graph in O(n logn) Time
inferred← citeshttps://doi.org/10.1007/978-3-642-02927-1_64openalex-snapshot
Elimination Graphs
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The h-Index of a Graph and Its Application to Dynamic Subgraph Statistics
inferred← citeshttps://doi.org/10.1007/978-3-642-11409-0_21openalex-snapshot
Hardness Results and Efficient Algorithms for Graph Powers
inferred← citeshttps://doi.org/10.1007/978-3-642-14246-8_14openalex-snapshot
Clustering Coefficient Queries on Massive Dynamic Social Networks
inferred← citeshttps://doi.org/10.1007/978-3-642-15155-2_40openalex-snapshot
Improved Simulation of Nondeterministic Turing Machines
inferred← citeshttps://doi.org/10.1007/978-3-642-16533-7openalex-snapshot
Exact Exponential Algorithms
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Extended Dynamic Subgraph Statistics Using h-Index Parameterized Data Structures
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Unique Small Subgraphs Are Not Easier to Find
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Domination When the Stars Are Out
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Computing the Girth of a Planar Graph in Linear Time
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Min-Cuts and Shortest Cycles in Planar Graphs in O(n loglogn) Time
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Exact Algorithms for Maximum Two-Satisfiability
inferred← citeshttps://doi.org/10.1007/978-3-642-29344-3_39openalex-snapshot
On the Bend-Number of Planar and Outerplanar Graphs
inferred← citeshttps://doi.org/10.1007/978-3-642-31585-5_58openalex-snapshot
Distributed Algorithms for Network Diameter and Girth
inferred← citeshttps://doi.org/10.1007/978-3-642-32241-9_4openalex-snapshot
Induced Subgraph Isomorphism: Are Some Patterns Substantially Easier Than Others?
inferred← citeshttps://doi.org/10.1007/978-3-642-32278-5_14openalex-snapshot
Weighted Matchings
inferred← citeshttps://doi.org/10.1007/978-3-642-32278-5_3openalex-snapshot
Shortest Paths
inferred← citeshttps://doi.org/10.1007/978-3-642-33293-7_16openalex-snapshot
Fast Monotone Summation over Disjoint Sets
inferred← citeshttps://doi.org/10.1007/978-3-662-43948-7_19openalex-snapshot
Listing Triangles
inferred← citeshttps://doi.org/10.1007/978-3-662-48971-0_50openalex-snapshot
Quantum Algorithm for Triangle Finding in Sparse Graphs
inferred← citeshttps://doi.org/10.1007/978-3-662-55751-8_9openalex-snapshot
Parameterized Aspects of Triangle Enumeration
inferred← citeshttps://doi.org/10.1007/978-3-7091-9076-0_3openalex-snapshot
Planar Graph Problems
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Efficient parallel and sequential algorithms for 4-coloring perfect planar graphs
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Floorplanning by graph dualization: L-shaped modules
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A simple algorithm for finding a cycle of length greater than three and without diagonals
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The complexity of determining a shortest cycle of even length
inferred← citeshttps://doi.org/10.1007/bf02523189openalex-snapshot
Finding and counting given length cycles
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Finding and counting given length cycles
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On Triangle Estimation Using Tripartite Independent Set Queries
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Algebraic methods in the congested clique
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Fooling views: a new lower bound technique for distributed computations under congestion
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Error Compensation in Leaf Power Problems
inferred← citeshttps://doi.org/10.1007/s00453-008-9204-0openalex-snapshot
Linear Time Algorithms for Finding a Dominating Set of Fixed Size in Degenerated Graphs
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Complexity of Finding Graph Roots with Girth Conditions
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Improving Quantum Query Complexity of Boolean Matrix Multiplication Using Graph Collision
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Quantum Algorithm for Triangle Finding in Sparse Graphs
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Mind the Gap!
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A Comparative Study of Dictionary Matching with Gaps: Limitations, Techniques and Challenges
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Rare Siblings Speed-Up Deterministic Detection and Counting of Small Pattern Graphs
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Improved Merlin–Arthur Protocols for Central Problems in Fine-Grained Complexity
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Computing and Listing Avoidable Vertices and Paths
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Top-K structural diversity search in large networks
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Making graphs compact by lossless contraction
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Application-driven graph partitioning
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Accelerated butterfly counting with vertex priority on bipartite graphs
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Evaluating regular path queries on compressed adjacency matrices
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Triangle minimization in large networks
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Computing the spark: mixed-integer programming for the (vector) matroid girth problem
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An efficient exact algorithm for triangle listing in large graphs
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Efficient MapReduce algorithms for triangle listing in billion-scale graphs
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Balanced parallel triangle enumeration with an adaptive algorithm
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Uniform random generation of large acyclic digraphs
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CCFinder: using Spark to find clustering coefficient in big graphs
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A nearly optimal distributed algorithm for computing the weighted girth
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Data-driven analysis of Bitcoin properties: exploiting the users graph
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Finding short cycles in planar graphs using separators
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An improved algorithm for the planar 3-cut problem
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Planar orientations with low out-degree and compaction of adjacency matrices
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Graph Algorithms
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Open problems around exact algorithms
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Efficient enumeration of graph orientations with sources
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Into the Square: On the Complexity of Some Quadratic-time Solvable Problems
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Online recognition of dictionary with one gap
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Improved algorithms for perfect graphs and odd holes
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Generating connected acyclic digraphs uniformly at random
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Efficient algorithms for clique problems
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Efficient approximation algorithms for shortest cycles in undirected graphs
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A shortest cycle for each vertex of a graph
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Fast monotone summation over disjoint sets
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Are unique subgraphs not easier to find?
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Lengths of words accepted by nondeterministic finite automata
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Parameterized aspects of triangle enumeration
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On the negative cost girth problem in planar networks
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Consequences of APSP, triangle detection, and 3SUM hardness for separation between determinism and non-determinism
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A new algorithm for optimal 2-constraint satisfaction and its implications
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Parameterized algorithms for feedback set problems and their duals in tournaments
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Main-memory triangle computations for very large (sparse (power-law)) graphs
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Improved simulation of nondeterministic Turing machines
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Extended dynamic subgraph statistics using h -index parameterized data structures
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Parameterized complexity of k -Chinese Postman Problem
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Induced subgraph isomorphism: Are some patterns substantially easier than others?
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Algorithms solving the Matching Cut problem
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A fast deterministic detection of small pattern graphs in graphs without large cliques
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Map graphs having witnesses of large girth
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Streaming deletion problems parameterized by vertex cover
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Approximate core allocations for edge cover games
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Finding and counting small tournaments in large tournaments
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Forbidden minors to graphs with small feedback sets
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Finding and counting small induced subgraphs efficiently
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Detecting directed 4-cycles still faster
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A nice class for the vertex packing problem
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Minimum Weight Cycles and Triangles: Equivalences and Algorithms
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Algorithmic Applications of Baur-Strassen's Theorem: Shortest Cycles, Diameter and Matchings
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Complexity of Counting Subgraphs: Only the Boundedness of the Vertex-Cover Number Counts
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Improved Quantum Algorithm for Triangle Finding via Combinatorial Arguments
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Popular Conjectures Imply Strong Lower Bounds for Dynamic Problems
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Approximately Counting Triangles in Sublinear Time
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The Average-Case Complexity of Counting Cliques in Erdős-Rényi Hypergraphs
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Design and analysis of test schemes for algorithm-based fault tolerance
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First look: Linear algebra-based triangle counting without matrix multiplication
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Fast Triangle Counting
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Cohesive Subgraph Computation Over Large Sparse Graphs
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DPTL+: Efficient Parallel Triangle Listing on Batch-Dynamic Graphs
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On Efficient External-Memory Triangle Listing
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Fast Rectangle Counting on Massive Networks
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Floorplanning by graph dualization: L-shaped modules
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Counting Triangles of Graphs via Matrix Partitioning
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Single Document Summarization Based on Triangle Analysis of Dependency Graphs
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A Decomposition Theory for Binary Linear Codes
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The Computational Complexity of the Restricted Isometry Property, the Nullspace Property, and Related Concepts in Compressed Sensing
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A Tight Rate Bound and Matching Construction for Locally Recoverable Codes With Sequential Recovery From Any Number of Multiple Erasures
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On Efficient External-Memory Triangle Listing
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Differentially Private Triangle Counting in Large Graphs
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A Block-Based Triangle Counting Algorithm on Heterogeneous Environments
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Parallel Matrix and Graph Algorithms
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Arboricity and Subgraph Listing Algorithms
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The Null Space Problem I. Complexity
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Finding a Heaviest Vertex-Weighted Triangle Is not Harder than Matrix Multiplication
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Dynamic Connectivity: Connecting to Networks and Geometry
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Finding, Minimizing, and Counting Weighted Subgraphs
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Computing the Girth of a Planar Graph in $O(n \logn)$ Time
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Counting and detecting small subgraphs via equations and matrix multiplication
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Triangle Listing Algorithms: Back from the Diversion
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Counting Thin Subgraphs via Packings Faster Than Meet-in-the-Middle Time
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