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On the ?log rank?-conjecture in communication complexity

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What this work says

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

inferredcites →https://doi.org/10.1002/jgt.3190130413openalex-snapshot
A counterexample to the rank‐coloring conjecture
inferredcites →https://doi.org/10.1007/bf01192527openalex-snapshot
On rank vs. communication complexity
inferredcites →https://doi.org/10.1016/0012-365x(92)90691-8openalex-snapshot
The gap between the chromatic number of a graph and the rank of its adjacency matrix is superlinear
inferredcites →https://doi.org/10.1016/0022-0000(93)90035-uopenalex-snapshot
Communication complexity and combinatorial lattice theory
inferredcites →https://doi.org/10.1090/s0002-9939-1975-0354422-3openalex-snapshot
Whitney Number Inequalities for Geometric Lattices
inferredcites →https://doi.org/10.1145/62212.62228openalex-snapshot
On the communication complexity of graph properties
inferredcites →https://doi.org/10.1145/800070.802208openalex-snapshot
Las Vegas Is better than Determinism in VLSI and Distributed Computing
inferredcites →https://doi.org/10.1145/800135.804414openalex-snapshot
Some complexity questions related to distributive computing(Preliminary Report)

What points at this work

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

inferred← citeshttps://doi.org/10.1002/jgt.20367openalex-snapshot
On set intersection representations of graphs
inferred← citeshttps://doi.org/10.1002/rsa.20639openalex-snapshot
Testing properties of functions on finite groups
inferred← citeshttps://doi.org/10.1006/jctb.2000.2003openalex-snapshot
Chromatic Number and the 2-Rank of a Graph
inferred← citeshttps://doi.org/10.1007/978-1-4757-6048-4_47openalex-snapshot
Communication Complexity of Functions on Direct Sums
inferred← citeshttps://doi.org/10.1007/978-3-030-42071-0_11openalex-snapshot
Algorithms for NP-Hard Problems via Rank-Related Parameters of Matrices
inferred← citeshttps://doi.org/10.1007/978-3-032-01475-7_8openalex-snapshot
On the Transformation of Two-Way Nondeterministic Finite Automata to Unambiguous Finite Automata
inferred← citeshttps://doi.org/10.1007/978-3-642-02927-1_33openalex-snapshot
Partition Arguments in Multiparty Communication Complexity
inferred← citeshttps://doi.org/10.1007/978-3-642-19533-4_8openalex-snapshot
Communication Complexity
inferred← citeshttps://doi.org/10.1007/978-3-642-29344-3_54openalex-snapshot
The Relationship between Inner Product and Counting Cycles
inferred← citeshttps://doi.org/10.1007/978-3-642-39206-1_17openalex-snapshot
Deterministic Single Exponential Time Algorithms for Connectivity Problems Parameterized by Treewidth
inferred← citeshttps://doi.org/10.1007/bf01192527openalex-snapshot
On rank vs. communication complexity
inferred← citeshttps://doi.org/10.1007/s00493-012-2746-4openalex-snapshot
A counterexample to the Alon-Saks-Seymour conjecture and related problems
inferred← citeshttps://doi.org/10.1007/s11856-023-2517-5openalex-snapshot
Around the log-rank conjecture
inferred← citeshttps://doi.org/10.1016/j.ic.2014.12.008openalex-snapshot
Deterministic single exponential time algorithms for connectivity problems parameterized by treewidth
inferred← citeshttps://doi.org/10.1016/j.ipl.2003.09.020openalex-snapshot
The Log-Rank Conjecture and low degree polynomials
inferred← citeshttps://doi.org/10.1016/j.ipl.2018.09.004openalex-snapshot
The corruption bound, log-rank, and communication complexity
inferred← citeshttps://doi.org/10.1016/j.tcs.2010.01.018openalex-snapshot
Partition arguments in multiparty communication complexity
inferred← citeshttps://doi.org/10.1016/s0024-3795(99)00226-8openalex-snapshot
Matrix rank and communication complexity
inferred← citeshttps://doi.org/10.1016/s0065-2458(08)60342-3openalex-snapshot
Communication Complexity
inferred← citeshttps://doi.org/10.1016/s0304-3975(96)00062-xopenalex-snapshot
A comparison of two lower-bound methods for communication complexity
inferred← citeshttps://doi.org/10.1109/focs54457.2022.00055openalex-snapshot
Cut Query Algorithms with Star Contraction
inferred← citeshttps://doi.org/10.1109/sfcs.1998.743480openalex-snapshot
The quantum communication complexity of sampling
inferred← citeshttps://doi.org/10.1137/1.9781611973082.2openalex-snapshot
The Streaming Complexity of Cycle Counting, Sorting By Reversals, and Other Problems
inferred← citeshttps://doi.org/10.1137/1.9781611975031.70openalex-snapshot
A Tight Lower Bound for Counting Hamiltonian Cycles via Matrix Rank
inferred← citeshttps://doi.org/10.1137/11085178xopenalex-snapshot
Distributed Verification and Hardness of Distributed Approximation
inferred← citeshttps://doi.org/10.1137/s009753979935476openalex-snapshot
The Quantum Communication Complexity of Sampling
inferred← citeshttps://doi.org/10.1145/1536414.1536479openalex-snapshot
On the complexity of communication complexity
inferred← citeshttps://doi.org/10.1145/1993636.1993686openalex-snapshot
Distributed verification and hardness of distributed approximation
inferred← citeshttps://doi.org/10.1145/2488608.2488646openalex-snapshot
Fast hamiltonicity checking via bases of perfect matchings
inferred← citeshttps://doi.org/10.1145/3148227openalex-snapshot
Fast Hamiltonicity Checking Via Bases of Perfect Matchings
inferred← citeshttps://doi.org/10.1145/333623.333628openalex-snapshot
Classical versus quantum communication complexity
inferred← citeshttps://doi.org/10.1145/3357713.3384264openalex-snapshot
Bipartite TSP in o(1.9999ⁿ) time, assuming quadratic time matrix multiplication
inferred← citeshttps://doi.org/10.1145/3798129.3800904openalex-snapshot
Combinatorial Optimization using Comparison Oracles
inferred← citeshttps://doi.org/10.1561/0400000040openalex-snapshot
Lower Bounds in Communication Complexity
inferred← citeshttps://doi.org/10.1561/9781601982599openalex-snapshot
Lower Bounds in Communication Complexity
inferred← citeshttps://doi.org/10.1587/essfr.10.1_46openalex-snapshot
A Concise Tour of Communication Complexity Theory
inferred← citeshttps://doi.org/10.18297/etd/693openalex-snapshot
Avoiding, pretending, and querying : three combinatorial problems.
inferred← citeshttps://doi.org/10.4230/lipics.approx/random.2021.48openalex-snapshot
On the Robust Communication Complexity of Bipartite Matching
inferred← citeshttps://doi.org/10.48550/arxiv.0909.5684openalex-snapshot
Partition Arguments in Multiparty Communication Complexity
inferred← citeshttps://doi.org/10.48550/arxiv.1102.2932openalex-snapshot
Applications of Monotone Rank to Complexity Theory
inferred← citeshttps://doi.org/10.48550/arxiv.1207.5211openalex-snapshot
Can Quantum Communication Speed Up Distributed Computation?
inferred← citeshttps://doi.org/10.48550/arxiv.1211.1505openalex-snapshot
Solving weighted and counting variants of connectivity problems parameterized by treewidth deterministically in single exponential time
inferred← citeshttps://doi.org/10.48550/arxiv.1403.8106openalex-snapshot
Recent advances on the log-rank conjecture in communication complexity
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