Martin Grohe
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German mathematician and computer scientist
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Martin Grohecomputer-science Degrees
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Computer Science Mathematics
Why Is Martin Grohe Influential?
(Suggest an Edit or Addition)According to Wikipedia, Martin Grohe is a German mathematician and computer scientist known for his research on parameterized complexity, mathematical logic, finite model theory, the logic of graphs, database theory, and descriptive complexity theory. He is a University Professor of Computer Science at RWTH Aachen University, where he holds the Chair for Logic and Theory of Discrete Systems.
Martin Grohe's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Parameterized Complexity Theory (2006) (1914)
- Parameterized Complexity Theory (Texts in Theoretical Computer Science. An EATCS Series) (2006) (1237)
- Weisfeiler and Leman Go Neural: Higher-order Graph Neural Networks (2018) (887)
- The complexity of homomorphism and constraint satisfaction problems seen from the other side (2003) (456)
- The complexity of first-order and monadic second-order logic revisited (2002) (277)
- Size Bounds and Query Plans for Relational Joins (2008) (251)
- Query evaluation via tree-decompositions (2001) (247)
- The parameterized complexity of counting problems (2002) (239)
- Path Queries on Compressed XML (2003) (225)
- Deciding first-order properties of locally tree-decomposable structures (2000) (218)
- Deciding first-order properties of nowhere dense graphs (2013) (206)
- Constraint solving via fractional edge covers (2014) (176)
- The complexity of partition functions (2005) (167)
- Local Tree-Width, Excluded Minors, and Approximation Algorithms (2000) (162)
- When is the evaluation of conjunctive queries tractable? (2001) (141)
- Descriptive Complexity, Canonisation, and Definable Graph Structure Theory (2017) (132)
- Locally Excluding a Minor (2007) (123)
- Fixed-Parameter Tractability, Definability, and Model-Checking (1999) (121)
- Finding topological subgraphs is fixed-parameter tractable (2010) (121)
- Structure theorem and isomorphism test for graphs with excluded topological subgraphs (2011) (110)
- Computing crossing numbers in quadratic time (2000) (106)
- A Complexity Dichotomy for Partition Functions with Mixed Signs (2008) (106)
- Describing parameterized complexity classes (2002) (105)
- Hypertree width and related hypergraph invariants (2007) (105)
- Logic, graphs, and algorithms (2007) (103)
- The Surprising Power of Graph Neural Networks with Random Node Initialization (2020) (96)
- Hypertree Decompositions: Structure, Algorithms, and Applications (2005) (92)
- Fixed-Point Definability and Polynomial Time on Graphs with Excluded Minors (2010) (89)
- Query evaluation on compressed trees (2003) (89)
- On tree width, bramble size, and expansion (2009) (87)
- Fixed-point logics on planar graphs (1998) (85)
- On Parameterized Approximability (2006) (84)
- word2vec, node2vec, graph2vec, X2vec: Towards a Theory of Vector Embeddings of Structured Data (2020) (77)
- Definability and Descriptive Complexity on Databases of Bounded Tree-Width (1999) (75)
- Methods for Algorithmic Meta Theorems (2009) (75)
- Non-dichotomies in Constraint Satisfaction Complexity (2008) (75)
- Model Theoretic Methods in Finite Combinatorics (2011) (71)
- PEBBLE GAMES AND LINEAR EQUATIONS (2012) (70)
- Computing excluded minors (2008) (70)
- Isomorphism testing for embeddable graphs through definability (2000) (66)
- Algorithmic Meta Theorems (2008) (66)
- Tight Lower and Upper Bounds for the Complexity of Canonical Colour Refinement (2013) (65)
- Locality of order-invariant first-order formulas (1998) (61)
- Colouring and Covering Nowhere Dense Graphs (2015) (59)
- Lovász Meets Weisfeiler and Leman (2018) (59)
- An existential locality theorem (2001) (59)
- Constraint Solving via Fractional Edge Covers (2006) (57)
- Tight lower bounds for query processing on streaming and external memory data (2005) (55)
- Graph Neural Networks for Prediction of Fuel Ignition Quality (2020) (54)
- Approximation Schemes for First-Order Definable Optimisation Problems (2006) (54)
- The succinctness of first-order logic on linear orders (2004) (52)
- The Quest for a Logic Capturing PTIME (2008) (52)
- The Structure of Tractable Constraint Satisfaction Problems (2006) (50)
- Dimension Reduction via Colour Refinement (2013) (50)
- Logics with Rank Operators (2009) (49)
- Generalized Model-Checking Problems for First-Order Logic (2001) (48)
- Testing Graph Isomorphism in Parallel by Playing a Game (2006) (47)
- Model Theory Makes Formulas Large (2007) (46)
- Deciding First-Order Properties of Nowhere Dense Graphs (2017) (45)
- Weisfeiler and Leman go Machine Learning: The Story so far (2021) (45)
- Bounded nondeterminism and alternation in parameterized complexity theory (2003) (45)
- Preservation Under Extensions on Well-Behaved Finite Structures (2005) (44)
- Constraint satisfaction with succinctly specified relations (2010) (44)
- Finite Variable Logics in Descriptive Complexity Theory (1998) (44)
- The Logic of Graph Neural Networks (2021) (42)
- The parameterized complexity of database queries (2001) (41)
- Machine-based methods in parameterized complexity theory (2005) (41)
- Equivalence in Finite-Variable Logics is Complete for Polynomial Time (1996) (39)
- Isomorphism Testing for Graphs of Bounded Rank Width (2015) (39)
- Power Iterated Color Refinement (2014) (38)
- Deciding First-Order Properties of Locally Tree-Decomposalbe Graphs (1999) (38)
- Parameterized complexity for the database theorist (2002) (38)
- A Simple Algorithm for the Graph Minor Decomposition - Logic meets Structural Graph Theory (2013) (37)
- Lower bounds for sorting with few random accesses to external memory (2005) (36)
- Where First-Order and Monadic Second-Order Logic Coincide (2012) (35)
- Bounded fixed-parameter tractability and log2n nondeterministic bits (2004) (33)
- Parameterized Approximability of the Disjoint Cycle Problem (2007) (33)
- Learnability and Definability in Trees and Similar Structures (2003) (33)
- Descriptive and Parameterized Complexity (1999) (32)
- Enumerating homomorphisms (2009) (31)
- Limitations of Algebraic Approaches to Graph Isomorphism Testing (2015) (30)
- Comparing the succinctness of monadic query languages over finite trees (2003) (29)
- Reachability and connectivity queries in constraint databases (2000) (28)
- Arity Hierarchies (1996) (27)
- Model-checking problems as a basis for parameterized intractability (2004) (27)
- Canonisation and Definability for Graphs of Bounded Rank Width (2019) (27)
- A Faster Isomorphism Test for Graphs of Small Degree (2018) (26)
- Learning first-order definable concepts over structures of small degree (2017) (25)
- Graph Similarity and Approximate Isomorphism (2018) (24)
- An Improved Isomorphism Test for Bounded-tree-width Graphs (2018) (24)
- Randomized computations on large data sets: tight lower bounds (2006) (24)
- Approximation of Natural W[P]-Complete Minimisation Problems Is Hard (2008) (23)
- Graph Neural Networks for Maximum Constraint Satisfaction (2019) (22)
- Parameterized Complexity and Subexponential Time (2004) (22)
- Probabilistic Databases with an Infinite Open-World Assumption (2018) (21)
- Power and limits of the Weisfeiler-Leman algorithm (2020) (20)
- Definable Tree Decompositions (2008) (20)
- Counting Bounded Tree Depth Homomorphisms (2020) (20)
- On first-order topological queries (2000) (20)
- Database Query Processing Using Finite Cursor Machines (2007) (20)
- Characterisations of Nowhere Dense Graphs (2013) (19)
- Parametrized Complexity and Subexponential Time (Column: Computational Complexity) (2004) (19)
- Lower bounds for processing data with few random accesses to external memory (2009) (19)
- First-Order Query Evaluation with Cardinality Conditions (2017) (19)
- Is Polynomial Time Choiceless? (2015) (17)
- A Linear Upper Bound on the Weisfeiler-Leman Dimension of Graphs of Bounded Genus (2019) (16)
- Graph Learning with 1D Convolutions on Random Walks (2021) (16)
- Computing with Tangles (2015) (15)
- Counting Homomorphisms and Partition Functions (2011) (15)
- An isomorphism between subexponential and parameterized complexity theory (2006) (15)
- Choiceless Polynomial Time on Structures with Small Abelian Colour Classes (2014) (15)
- Complete problems for fixed-point logics (1995) (14)
- A Finite-Model-Theoretic View on Propositional Proof Complexity (2018) (14)
- From polynomial time queries to graph structure theory (2010) (14)
- Infinite Probabilistic Databases (2019) (14)
- Descriptive complexity of linear equation systems and applications to propositional proof complexity (2017) (14)
- Color Refinement and Its Applications (2021) (13)
- Recent Advances on the Graph Isomorphism Problem (2020) (12)
- RUN-CSP: Unsupervised Learning of Message Passing Networks for Binary Constraint Satisfaction Problems (2019) (12)
- Linear Diophantine Equations, Group CSPs, and Graph Isomorphism (2016) (12)
- Existential Least Fixed-Point Logic and its Relatives (1997) (12)
- Learning MSO-definable hypotheses on strings (2017) (11)
- Fixed-parameter tractability and logic (1999) (11)
- The Effects of Randomness on the Stability of Node Embeddings (2020) (11)
- Fixed-Point Definability and Polynomial Time on Chordal Graphs and Line Graphs (2010) (11)
- Large Finite Structures with Few Lk-Types (1997) (11)
- L-Recursion and a new Logic for Logarithmic Space (2012) (11)
- From polynomial time queries to graph structure theory (2011) (10)
- Logarithmic Weisfeiler-Leman Identifies All Planar Graphs (2021) (10)
- Bounded-Arity Hierarchies in Fixed-Point Logics (1993) (10)
- The Complexity of Querying External Memory and Streaming Data (2005) (10)
- Quasi-4-Connected Components (2016) (9)
- Homomorphism Tensors and Linear Equations (2021) (9)
- Isomorphism Testing for Graphs Excluding Small Minors (2020) (9)
- The Complexity of Homomorphism Indistinguishability (2019) (9)
- Generative Datalog with Continuous Distributions (2020) (8)
- Fixed-Point Definability and Polynomial Time (2009) (8)
- Characterisations of Nowhere Dense Graphs (Invited Talk) (2013) (8)
- The graph isomorphism problem (2020) (8)
- A double arity hierarchy theorem for transitive closure logic (1996) (7)
- Tight Lower and Upper Bounds for the Complexity of Canonical Colour Refinement (2016) (7)
- The Hardness of Embedding Grids and Walls (2017) (7)
- Proceedings of the 33rd ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems (2014) (7)
- Isomorphism, canonization, and definability for graphs of bounded rank width (2021) (7)
- Termination orders for three-dimensional rewriting (2006) (6)
- On fixed-point logic with counting (2000) (6)
- Bounds and Algorithms for Joins via Fractional Edge Covers (2013) (6)
- Deep Weisfeiler Leman (2020) (6)
- Learnability and Definability in Trees and Similar Structures (2002) (6)
- The Complexity of Datalog on Linear Orders (2009) (6)
- Some Remarks on Finite Löwenheim-Skolem Theorems (1996) (6)
- Tangled up in Blue (A Survey on Connectivity, Decompositions, and Tangles) (2016) (6)
- Classification of properties and their relation to chemical bonding: Essential steps toward the inverse design of functional materials (2022) (5)
- Monadic Datalog Containment on Trees (2014) (5)
- Order Invariance on Decomposable Structures (2016) (5)
- On graph sparsity and structure : colourings and graph decompositions (2016) (5)
- Algorithmic Meta Theorems for Sparse Graph Classes (2014) (5)
- Tangles and Connectivity in Graphs (2016) (5)
- Randomisation and Derandomisation in Descriptive Complexity Theory (2010) (5)
- Structural and logical approaches to the graph isomorphism problem (2012) (5)
- Automorphism groups of graphs of bounded Hadwiger number (2020) (4)
- Large finite structures with few L/sup /spl kappa//-types (1997) (4)
- An analysis of the W*-hierarchy (2007) (4)
- Bounded fixed-parameter tractability and reducibility (2007) (4)
- Independence in Infinite Probabilistic Databases (2020) (3)
- Canonization for Lk-equivalence is Hard (1997) (3)
- Definable decompositions for graphs of bounded linear cliquewidth (2018) (3)
- On the Parameterized Complexity of Learning First-Order Logic (2021) (3)
- One Model, Any CSP: Graph Neural Networks as Fast Global Search Heuristics for Constraint Satisfaction (2022) (3)
- Tuple-Independent Representations of Infinite Probabilistic Databases (2020) (3)
- Proceedings of the 31st Annual ACM/IEEE Symposium on Logic in Computer Science (2016) (3)
- On the Parameterized Complexity of Learning Logic (2021) (2)
- Probabilistic Query Evaluation with Bag Semantics (2022) (2)
- Database Repairing with Soft Functional Dependencies (2020) (2)
- Graph Machine Learning for Design of High-Octane Fuels (2022) (2)
- Towards faster isomorphism tests for bounded-degree graphs (2018) (2)
- Where First-Order and Monadic Second-Order Logic Coincide (2012) (2)
- Probabilistic Data with Continuous Distributions (2021) (1)
- Dynamic Database Embeddings with FoRWaRD (2021) (1)
- Generative Datalog with Continuous Distributions (2022) (1)
- Learning MSO-definable hypotheses on string (2017) (1)
- Query evaluation via tree-decompositions: Extended abstract (2001) (1)
- 09441 Abstracts Collection - The Constraint Satisfaction Problem: Complexity and Approximability (2009) (1)
- Weisfeiler-Leman meets Homomorphisms (2018) (1)
- Proceedings of the 3rd international conference on Parameterized and exact computation (2008) (1)
- Solving AC Power Flow with Graph Neural Networks under Realistic Constraints (2022) (1)
- The Expressive Power of Two-Variable Least Fixed-Point Logics (2005) (1)
- Logical and Structural Approaches to the Graph Isomorphism Problem (2013) (1)
- Physical Pooling Functions in Graph Neural Networks for Molecular Property Prediction (2022) (1)
- Symmetry and Similarity (Invited Talk) (2019) (0)
- 2003 european summer meeting of the association for symbolic logic logic colloquim'03 (2004) (0)
- Algorithms for Streaming Graphs (2009) (0)
- Graphs with excluded minors (2017) (0)
- Simulating Logspace-Recursion with Logarithmic Quantifier Depth (2023) (0)
- 3-connected components (2017) (0)
- Graph Embeddings: Theory meets Practice (2022) (0)
- Theory and Practice of SAT Solving (Dagstuhl Seminar 15171) (2015) (0)
- The Ackermann Award 2007 (2007) (0)
- 09441 Executive Summary - The Constraint Satisfaction Problem: Complexity and Approximability (2009) (0)
- 44 11121 – Computational Complexity of Discrete Problems (2011) (0)
- 05301 Abstracts Collection - Exact Algorithms and Fixed-Parameter Tractability (2005) (0)
- Graph Similarity Based on Matrix Norms (2022) (0)
- Exact Algorithms and Fixed-Parameter Tractability, 24.-27. July 2005 (2006) (0)
- Robertson and Seymour's version of the Local Structure Theorem (2017) (0)
- Database Theory Column Report on PODS 2014 (2014) (0)
- Almost planar completions (2017) (0)
- Ordered treelike decompositions (2017) (0)
- Session details: Session 7A (2007) (0)
- 05301 Summary - Exact Algorithms and Fixed-Parameter Tractability (2005) (0)
- Book Review (2002) (0)
- Bits and pieces (2017) (0)
- Almost-embeddable graphs (2017) (0)
- Deep End-To-End Learning on Molecular Graphs for Physico-Chemical Property Prediction using Graph Neural Networks : 8th - 9th July 2020 ; 3rd International Conference on Machine Learning an AI in (bio)Chemical Engineering (2020) (0)
- Decompositions of almost-embeddable graphs (2017) (0)
- Graphs embeddable in a surface (2017) (0)
- CS 2 Algorithms and Data Structures Note 3 Sequential Data Structures (0)
- Stable Tuple Embeddings for Dynamic Databases (2021) (0)
- A COMPLEXITY DICHOTOMY FOR PARTITION FUNCTIONS WITH (2009) (0)
- Some Might Say All You Need Is Sum (2023) (0)
- Session details: Session 13B (2007) (0)
- Exact algorithms and fixed-parameter tractability (Proceedings Dagstuhl Seminar, July 24-29, 2005) (2006) (0)
- Notices (2012) (0)
- Datalog on Infinite Structures (2008) (0)
- WL meet VC (2023) (0)
- The Constraint Satisfaction Problem : Complexity and Approximability 3 CSP duality and trees of bounded pathwidth (2010) (0)
- Standard Probabilistic Databases (2020) (0)
- Colour Refinement: A Simple Partitioning Algorithm with Applications From Graph Isomorphism Testing to Machine Learning (Invited Talk) (2014) (0)
- REVIEWS-Parameterized complexity theory (2007) (0)
- 122 15171 – Theory and Practice of SAT Solving Participants (2015) (0)
- The Descriptive Complexity of Graph Neural Networks (2023) (0)
- Citation for the Test-of-Time Award from LICS 1995 (2015) (0)
- Background from graph theory and logic (2017) (0)
- Graph Embeddings: Theory meets Practice (Dagstuhl Seminar 22132) (2022) (0)
- Parameterized and Exact Computation, Third International Workshop, IWPEC 2008, Victoria, Canada, May 14-16, 2008. Proceedings (2008) (0)
- Graphs of bounded tree width (2017) (0)
- Disjoint NP-Pairs and Propositional Proof (2006) (0)
- Computational Complexity of Discrete Problems (Dagstuhl Seminar 11121) (2011) (0)
- Session details: Data structures and range queries (2014) (0)
- Completions of pre-decompositions (2017) (0)
- Query Evaluation on CompressedTrees � ( ExtendedAbstract ) (2003) (0)
- Model theoretic methods in finite combinatorics : AMS-ASL joint special session, January 5-8, 2009, Washington, DC (2011) (0)
- Almost planar graphs (2017) (0)
- K5-minor-free graphs (2017) (0)
- Explorer Path Queries on Compressed XML (0)
- Weisfeiler and Leman's Unlikely Journey from Graph Isomorphism to Neural Networks (Invited Talk) (2020) (0)
- A Deep Dive into the Weisfeiler-Leman Algorithm (Invited Talk) (2021) (0)
- A decomposition-compatible canonization framework for the graph isomorphism problem (2021) (0)
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What Schools Are Affiliated With Martin Grohe?
Martin Grohe is affiliated with the following schools: