Martin Grohe

Orcid: 0000-0002-0292-9142

Affiliations:
  • RWTH Aachen University, Germany


According to our database1, Martin Grohe authored at least 202 papers between 1993 and 2024.

Collaborative distances:

Awards

ACM Fellow

ACM Fellow 2017, "For contributions to logic in computer science, database theory, algorithms, and computational complexity".

Timeline

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Bibliography

2024
Are Targeted Messages More Effective?
CoRR, 2024

Future Directions in Foundations of Graph Machine Learning.
CoRR, 2024

The Importance of Parameters in Database Queries.
Proceedings of the 27th International Conference on Database Theory, 2024

2023
A Faster Isomorphism Test for Graphs of Small Degree.
SIAM J. Comput., December, 2023

Physical pooling functions in graph neural networks for molecular property prediction.
Comput. Chem. Eng., April, 2023

Isomorphism Testing for Graphs Excluding Small Minors.
SIAM J. Comput., February, 2023

Canonisation and Definability for Graphs of Bounded Rank Width.
ACM Trans. Comput. Log., January, 2023

Isomorphism for Tournaments of Small Twin Width.
CoRR, 2023

On the Parameterized Complexity of Learning Monadic Second-Order Formulas.
CoRR, 2023

Where Did the Gap Go? Reassessing the Long-Range Graph Benchmark.
CoRR, 2023

Structural Node Embeddings with Homomorphism Counts.
CoRR, 2023

The Iteration Number of the Weisfeiler-Leman Algorithm.
LICS, 2023

The Descriptive Complexity of Graph Neural Networks.
LICS, 2023

Simulating Logspace-Recursion with Logarithmic Quantifier Depth.
LICS, 2023

One Model, Any CSP: Graph Neural Networks as Fast Global Search Heuristics for Constraint Satisfaction.
Proceedings of the Thirty-Second International Joint Conference on Artificial Intelligence, 2023

Some Might Say All You Need Is Sum.
Proceedings of the Thirty-Second International Joint Conference on Artificial Intelligence, 2023

WL meet VC.
Proceedings of the International Conference on Machine Learning, 2023

Probabilistic Query Evaluation with Bag Semantics.
Proceedings of the 26th International Conference on Database Theory, 2023

Stable Tuple Embeddings for Dynamic Databases.
Proceedings of the 39th IEEE International Conference on Data Engineering, 2023

Compressing CFI Graphs and Lower Bounds for the Weisfeiler-Leman Refinements.
Proceedings of the 64th IEEE Annual Symposium on Foundations of Computer Science, 2023

Selecting Walk Schemes for Database Embedding.
Proceedings of the 32nd ACM International Conference on Information and Knowledge Management, 2023

2022
Infinite Probabilistic Databases.
Log. Methods Comput. Sci., 2022

Independence in Infinite Probabilistic Databases.
J. ACM, 2022

Generative Datalog with Continuous Distributions.
J. ACM, 2022

The Constraint Satisfaction Problem: Complexity and Approximability (Dagstuhl Seminar 22201).
Dagstuhl Reports, 2022

Graph Embeddings: Theory meets Practice (Dagstuhl Seminar 22132).
Dagstuhl Reports, 2022

Graph Machine Learning for Design of High-Octane Fuels.
CoRR, 2022

Solving AC Power Flow with Graph Neural Networks under Realistic Constraints.
CoRR, 2022

On the Parameterized Complexity of Learning First-Order Logic.
Proceedings of the PODS '22: International Conference on Management of Data, Philadelphia, PA, USA, June 12, 2022

Graph Similarity Based on Matrix Norms.
Proceedings of the 47th International Symposium on Mathematical Foundations of Computer Science, 2022

Homomorphism Tensors and Linear Equations.
Proceedings of the 49th International Colloquium on Automata, Languages, and Programming, 2022

2021
Probabilistic Data with Continuous Distributions.
SIGMOD Rec., 2021

Definable decompositions for graphs of bounded linear cliquewidth.
Log. Methods Comput. Sci., 2021

Weisfeiler and Leman go Machine Learning: The Story so far.
CoRR, 2021

Dynamic Database Embeddings with FoRWaRD.
CoRR, 2021

On the Parameterized Complexity of Learning Logic.
CoRR, 2021

Graph Learning with 1D Convolutions on Random Walks.
CoRR, 2021

Isomorphism, canonization, and definability for graphs of bounded rank width.
Commun. ACM, 2021

Deep Weisfeiler Leman.
Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms, 2021

Tuple-Independent Representations of Infinite Probabilistic Databases.
Proceedings of the PODS'21: Proceedings of the 40th ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems, 2021

The Effects of Randomness on the Stability of Node Embeddings.
Proceedings of the Machine Learning and Principles and Practice of Knowledge Discovery in Databases, 2021

A Deep Dive into the Weisfeiler-Leman Algorithm (Invited Talk).
Proceedings of the 46th International Symposium on Mathematical Foundations of Computer Science, 2021

The Logic of Graph Neural Networks.
Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, 2021

The Surprising Power of Graph Neural Networks with Random Node Initialization.
Proceedings of the Thirtieth International Joint Conference on Artificial Intelligence, 2021

Database Repairing with Soft Functional Dependencies.
Proceedings of the 24th International Conference on Database Theory, 2021

Logarithmic Weisfeiler-Leman Identifies All Planar Graphs.
Proceedings of the 48th International Colloquium on Automata, Languages, and Programming, 2021

Recent advances on the graph isomorphism problem.
Proceedings of the Surveys in Combinatorics, 2021

2020
An Improved Isomorphism Test for Bounded-tree-width Graphs.
ACM Trans. Algorithms, 2020

Graph Neural Networks for Maximum Constraint Satisfaction.
Frontiers Artif. Intell., 2020

Automorphism groups of graphs of bounded Hadwiger number.
CoRR, 2020

Standard Probabilistic Databases.
CoRR, 2020

The Effects of Randomness on the Stability of Node Embeddings.
CoRR, 2020

The graph isomorphism problem.
Commun. ACM, 2020

Weisfeiler and Leman's Unlikely Journey from Graph Isomorphism to Neural Networks (Invited Talk).
Proceedings of the 37th International Symposium on Theoretical Aspects of Computer Science, 2020

word2vec, node2vec, graph2vec, X2vec: Towards a Theory of Vector Embeddings of Structured Data.
Proceedings of the 39th ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems, 2020

Counting Bounded Tree Depth Homomorphisms.
Proceedings of the LICS '20: 35th Annual ACM/IEEE Symposium on Logic in Computer Science, 2020

2019
A Finite-Model-Theoretic View on Propositional Proof Complexity.
Log. Methods Comput. Sci., 2019

RUN-CSP: Unsupervised Learning of Message Passing Networks for Binary Constraint Satisfaction Problems.
CoRR, 2019

Probabilistic Databases with an Infinite Open-World Assumption.
Proceedings of the 38th ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems, 2019

The Complexity of Homomorphism Indistinguishability.
Proceedings of the 44th International Symposium on Mathematical Foundations of Computer Science, 2019

A Linear Upper Bound on the Weisfeiler-Leman Dimension of Graphs of Bounded Genus.
Proceedings of the 46th International Colloquium on Automata, Languages, and Programming, 2019

Symmetry and Similarity (Invited Talk).
Proceedings of the 46th International Colloquium on Automata, Languages, and Programming, 2019

Weisfeiler and Leman Go Neural: Higher-Order Graph Neural Networks.
Proceedings of the Thirty-Third AAAI Conference on Artificial Intelligence, 2019

2018
Coloring and Covering Nowhere Dense Graphs.
SIAM J. Discret. Math., 2018

The Constraint Satisfaction Problem: Complexity and Approximability (Dagstuhl Seminar 18231).
Dagstuhl Reports, 2018

Weisfeiler-Leman meets Homomorphisms.
CoRR, 2018

Towards faster isomorphism tests for bounded-degree graphs.
CoRR, 2018

First-Order Query Evaluation with Cardinality Conditions.
Proceedings of the 37th ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems, 2018

Graph Similarity and Approximate Isomorphism.
Proceedings of the 43rd International Symposium on Mathematical Foundations of Computer Science, 2018

Lovász Meets Weisfeiler and Leman.
Proceedings of the 45th International Colloquium on Automata, Languages, and Programming, 2018

2017
Tight Lower and Upper Bounds for the Complexity of Canonical Colour Refinement.
Theory Comput. Syst., 2017

Deciding First-Order Properties of Nowhere Dense Graphs.
J. ACM, 2017

Learning MSO-definable hypotheses on string.
CoRR, 2017

The Hardness of Embedding Grids and Walls.
Proceedings of the Graph-Theoretic Concepts in Computer Science, 2017

Linear Diophantine Equations, Group CSPs, and Graph Isomorphism.
Proceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms, 2017

Learning first-order definable concepts over structures of small degree.
Proceedings of the 32nd Annual ACM/IEEE Symposium on Logic in Computer Science, 2017

Descriptive complexity of linear equation systems and applications to propositional proof complexity.
Proceedings of the 32nd Annual ACM/IEEE Symposium on Logic in Computer Science, 2017

Learning MSO-definable hypotheses on strings.
Proceedings of the International Conference on Algorithmic Learning Theory, 2017

Descriptive Complexity, Canonisation, and Definable Graph Structure Theory
Lecture Notes in Logic 47, Cambridge University Press, ISBN: 9781139028868, 2017

2016
Where First-Order and Monadic Second-Order Logic Coincide.
ACM Trans. Comput. Log., 2016

Computing with Tangles.
SIAM J. Discret. Math., 2016

Tangled up in Blue (A Survey on Connectivity, Decompositions, and Tangles).
CoRR, 2016

Order Invariance on Decomposable Structures.
Proceedings of the 31st Annual ACM/IEEE Symposium on Logic in Computer Science, 2016

Tangles and Connectivity in Graphs.
Proceedings of the Language and Automata Theory and Applications, 2016

Quasi-4-Connected Components.
Proceedings of the 43rd International Colloquium on Automata, Languages, and Programming, 2016

2015
Structure Theorem and Isomorphism Test for Graphs with Excluded Topological Subgraphs.
SIAM J. Comput., 2015

Pebble Games and linear equations.
J. Symb. Log., 2015

Theory and Practice of SAT Solving (Dagstuhl Seminar 15171).
Dagstuhl Reports, 2015

Colouring and Covering Nowhere Dense Graphs.
Proceedings of the Graph-Theoretic Concepts in Computer Science, 2015

Limitations of Algebraic Approaches to Graph Isomorphism Testing.
Proceedings of the Automata, Languages, and Programming - 42nd International Colloquium, 2015

Isomorphism Testing for Graphs of Bounded Rank Width.
Proceedings of the IEEE 56th Annual Symposium on Foundations of Computer Science, 2015

Is Polynomial Time Choiceless?
Proceedings of the Fields of Logic and Computation II, 2015

2014
Constraint Solving via Fractional Edge Covers.
ACM Trans. Algorithms, 2014

Database Theory Column Report on PODS 2014.
SIGACT News, 2014

Choiceless Polynomial Time on Structures with Small Abelian Colour Classes.
Proceedings of the Mathematical Foundations of Computer Science 2014, 2014

Colour Refinement: A Simple Partitioning Algorithm with Applications From Graph Isomorphism Testing to Machine Learning (Invited Talk).
Proceedings of the 34th International Conference on Foundation of Software Technology and Theoretical Computer Science, 2014

Dimension Reduction via Colour Refinement.
Proceedings of the Algorithms - ESA 2014, 2014

Algorithmic Meta Theorems for Sparse Graph Classes.
Proceedings of the Computer Science - Theory and Applications, 2014

Monadic Datalog Containment on Trees.
Proceedings of the 8th Alberto Mendelzon Workshop on Foundations of Data Management, 2014

Power Iterated Color Refinement.
Proceedings of the Twenty-Eighth AAAI Conference on Artificial Intelligence, 2014

2013
Size Bounds and Query Plans for Relational Joins.
SIAM J. Comput., 2013

A Simple Algorithm for the Graph Minor Decomposition - Logic meets Structural Graph Theory.
Proceedings of the Twenty-Fourth Annual ACM-SIAM Symposium on Discrete Algorithms, 2013

Logical and Structural Approaches to the Graph Isomorphism Problem.
Proceedings of the Mathematical Foundations of Computer Science 2013, 2013

Characterisations of Nowhere Dense Graphs (Invited Talk).
Proceedings of the IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, 2013

Bounds and Algorithms for Joins via Fractional Edge Covers.
Proceedings of the In Search of Elegance in the Theory and Practice of Computation, 2013

2012
Enumerating homomorphisms.
J. Comput. Syst. Sci., 2012

Fixed-point definability and polynomial time on graphs with excluded minors.
J. ACM, 2012

L-Recursion and a new Logic for Logarithmic Space
Log. Methods Comput. Sci., 2012

Structural and logical approaches to the graph isomorphism problem.
Proceedings of the Twenty-Third Annual ACM-SIAM Symposium on Discrete Algorithms, 2012

2011
Computational Complexity of Discrete Problems (Dagstuhl Seminar 11121).
Dagstuhl Reports, 2011

From polynomial time queries to graph structure theory.
Commun. ACM, 2011

Finding topological subgraphs is fixed-parameter tractable.
Proceedings of the 43rd ACM Symposium on Theory of Computing, 2011

2010
A Complexity Dichotomy for Partition Functions with Mixed Signs.
SIAM J. Comput., 2010

Constraint satisfaction with succinctly specified relations.
J. Comput. Syst. Sci., 2010

Randomisation and Derandomisation in Descriptive Complexity Theory.
Electron. Colloquium Comput. Complex., 2010

Fixed-Point Definability and Polynomial Time on Chordal Graphs and Line Graphs.
Proceedings of the Fields of Logic and Computation, 2010

2009
Database Query Processing Using Finite Cursor Machines.
Theory Comput. Syst., 2009

On tree width, bramble size, and expansion.
J. Comb. Theory, Ser. B, 2009

Lower bounds for processing data with few random accesses to external memory.
J. ACM, 2009

The Complexity of Datalog on Linear Orders
Log. Methods Comput. Sci., 2009

Logics with Rank Operators.
Proceedings of the 24th Annual IEEE Symposium on Logic in Computer Science, 2009

09441 Executive Summary - The Constraint Satisfaction Problem: Complexity and Approximability.
Proceedings of the Constraint Satisfaction Problem: Complexity and Approximability, 25.10., 2009

09441 Abstracts Collection - The Constraint Satisfaction Problem: Complexity and Approximability.
Proceedings of the Constraint Satisfaction Problem: Complexity and Approximability, 25.10., 2009

Fixed-Point Definability and Polynomial Time.
Proceedings of the Computer Science Logic, 23rd international Workshop, 2009

Counting Homomorphisms and Partition Functions.
Proceedings of the Model Theoretic Methods in Finite Combinatorics, 2009

Methods for Algorithmic Meta Theorems.
Proceedings of the Model Theoretic Methods in Finite Combinatorics, 2009

2008
Preservation under Extensions on Well-Behaved Finite Structures.
SIAM J. Comput., 2008

Algorithmic Meta Theorems.
Proceedings of the Graph-Theoretic Concepts in Computer Science, 2008

Computing excluded minors.
Proceedings of the Nineteenth Annual ACM-SIAM Symposium on Discrete Algorithms, 2008

Definable Tree Decompositions.
Proceedings of the Twenty-Third Annual IEEE Symposium on Logic in Computer Science, 2008

The Quest for a Logic Capturing PTIME.
Proceedings of the Twenty-Third Annual IEEE Symposium on Logic in Computer Science, 2008

Non-dichotomies in Constraint Satisfaction Complexity.
Proceedings of the Automata, Languages and Programming, 35th International Colloquium, 2008

Approximation of Natural W[P]-Complete Minimisation Problems Is Hard.
Proceedings of the 23rd Annual IEEE Conference on Computational Complexity, 2008

2007
Tight lower bounds for query processing on streaming and external memory data.
Theor. Comput. Sci., 2007

An analysis of the W<sup>*</sup>-hierarchy.
J. Symb. Log., 2007

The complexity of homomorphism and constraint satisfaction problems seen from the other side.
J. ACM, 2007

Hypertree width and related hypergraph invariants.
Eur. J. Comb., 2007

Logic, Graphs, and Algorithms.
Electron. Colloquium Comput. Complex., 2007

On Parameterized Approximability.
Electron. Colloquium Comput. Complex., 2007

Bounded fixed-parameter tractability and reducibility.
Ann. Pure Appl. Log., 2007

Locally Excluding a Minor.
Proceedings of the 22nd IEEE Symposium on Logic in Computer Science (LICS 2007), 2007

Parameterized Approximability of the Disjoint Cycle Problem.
Proceedings of the Automata, Languages and Programming, 34th International Colloquium, 2007

Model Theory Makes Formulas Large.
Proceedings of the Automata, Languages and Programming, 34th International Colloquium, 2007

The Ackermann Award 2007.
Proceedings of the Computer Science Logic, 21st International Workshop, 2007

2006
Parameterized Complexity Theory
Texts in Theoretical Computer Science. An EATCS Series, Springer, ISBN: 978-3-540-29953-0, 2006

Bounded fixed-parameter tractability and log<sup>2</sup><i>n</i> nondeterministic bits.
J. Comput. Syst. Sci., 2006

An Isomorphism between Subexponential and Parameterized Complexity Theory
Electron. Colloquium Comput. Complex., 2006

Randomized computations on large data sets: tight lower bounds.
Proceedings of the Twenty-Fifth ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Database Systems, 2006

The Structure of Tractable Constraint Satisfaction Problems.
Proceedings of the Mathematical Foundations of Computer Science 2006, 2006

Approximation Schemes for First-Order Definable Optimisation Problems.
Proceedings of the 21th IEEE Symposium on Logic in Computer Science (LICS 2006), 2006

Testing Graph Isomorphism in Parallel by Playing a Game.
Proceedings of the Automata, Languages and Programming, 33rd International Colloquium, 2006

2005
Machine-based methods in parameterized complexity theory.
Theor. Comput. Sci., 2005

The complexity of partition functions.
Theor. Comput. Sci., 2005

The succinctness of first-order logic on linear orders.
Log. Methods Comput. Sci., 2005

Model-checking problems as a basis for parameterized intractability.
Log. Methods Comput. Sci., 2005

Hypertree Decompositions: Structure, Algorithms, and Applications.
Proceedings of the Graph-Theoretic Concepts in Computer Science, 2005

Lower bounds for sorting with few random accesses to external memory.
Proceedings of the Twenty-fourth ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Database Systems, 2005

The Expressive Power of Two-Variable Least Fixed-Point Logics.
Proceedings of the Mathematical Foundations of Computer Science 2005, 2005

The Complexity of Querying External Memory and Streaming Data.
Proceedings of the Fundamentals of Computation Theory, 15th International Symposium, 2005

05301 Abstracts Collection - Exact Algorithms and Fixed-Parameter Tractability.
Proceedings of the Exact Algorithms and Fixed-Parameter Tractability, 24.-27. July 2005, 2005

05301 Summary - Exact Algorithms and Fixed-Parameter Tractability.
Proceedings of the Exact Algorithms and Fixed-Parameter Tractability, 24.-27. July 2005, 2005

2004
The Parameterized Complexity of Counting Problems.
SIAM J. Comput., 2004

Learnability and Definability in Trees and Similar Structures.
Theory Comput. Syst., 2004

Computing crossing numbers in quadratic time.
J. Comput. Syst. Sci., 2004

Comparing the succinctness of monadic query languages over finite trees.
RAIRO Theor. Informatics Appl., 2004

Parametrized Complexity and Subexponential Time (Column: Computational Complexity).
Bull. EATCS, 2004

An existential locality theorem.
Ann. Pure Appl. Log., 2004

The complexity of first-order and monadic second-order logic revisited.
Ann. Pure Appl. Log., 2004

Bounded Fixed-Parameter Tractability and log<sup>2</sup>n Nondeterministic Bits.
Proceedings of the Automata, Languages and Programming: 31st International Colloquium, 2004

2003
Reachability and connectivity queries in constraint databases.
J. Comput. Syst. Sci., 2003

Describing parameterized complexity classes.
Inf. Comput., 2003

Local Tree-Width, Excluded Minors, and Approximation Algorithms.
Comb., 2003

Path Queries on Compressed XML.
Proceedings of 29th International Conference on Very Large Data Bases, 2003

Query Evaluation on Compressed Trees (Extended Abstract).
Proceedings of the 18th IEEE Symposium on Logic in Computer Science (LICS 2003), 2003

Monadic Datalog on Trees (Invited Talk).
Proceedings of the FICS '03, 2003

Bounded Nondeterminism and Alternation in Parameterized Complexity Theory.
Proceedings of the 18th Annual IEEE Conference on Computational Complexity (Complexity 2003), 2003

2002
On first-order topological queries.
ACM Trans. Comput. Log., 2002

Parameterized Complexity for the Database Theorist.
SIGMOD Rec., 2002

Query evaluation via tree-decompositions.
J. ACM, 2002

Large Finite Structures with Few Lk-Types.
Inf. Comput., 2002

2001
Fixed-Parameter Tractability, Definability, and Model-Checking.
SIAM J. Comput., 2001

Deciding first-order properties of locally tree-decomposable structures.
J. ACM, 2001

When is the evaluation of conjunctive queries tractable?
Proceedings of the Proceedings on 33rd Annual ACM Symposium on Theory of Computing, 2001

Generalized Model-Checking Problems for First-Order Logic.
Proceedings of the STACS 2001, 2001

The Parameterized Complexity of Database Queries.
Proceedings of the Twentieth ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Database Systems, 2001

2000
Locality of order-invariant first-order formulas.
ACM Trans. Comput. Log., 2000

On Fixed-Point Logic With Counting.
J. Symb. Log., 2000

Isomorphism testing for embeddable graphs through definability.
Proceedings of the Thirty-Second Annual ACM Symposium on Theory of Computing, 2000

1999
Equivalence in Finite-Variable Logics is Complete for Polynomial Time.
Comb., 1999

Definability and Descriptive Complexity on Databases of Bounded Tree-Width.
Proceedings of the Database Theory, 1999

Deciding First-Order Properties of Locally Tree-Decomposalbe Graphs.
Proceedings of the Automata, 1999

Descriptive and Parameterized Complexity.
Proceedings of the Computer Science Logic, 13th International Workshop, 1999

1998
Finite variable logics in descriptive complexity theory.
Bull. Symb. Log., 1998

Fixed-Point Logics on Planar Graphs.
Proceedings of the Thirteenth Annual IEEE Symposium on Logic in Computer Science, 1998

1997
Existential Least Fixed-Point Logic and its Relatives.
J. Log. Comput., 1997

Large Finite Structures with Few L<sup>k</sup>-Types.
Proceedings of the Proceedings, 12th Annual IEEE Symposium on Logic in Computer Science, Warsaw, Poland, June 29, 1997

Canonization for L<sup>k</sup>-equivalence is Hard.
Proceedings of the Computer Science Logic, 11th International Workshop, 1997

1996
Some Remarks on Finite Löwenheim-Skolem Theorems.
Math. Log. Q., 1996

Arity Hierarchies.
Ann. Pure Appl. Log., 1996

A double arity hierarchy theorem for transitive closure logic.
Arch. Math. Log., 1996

1995
Complete Problems for Fixed-Point Logics.
J. Symb. Log., 1995

1993
Bounded-Arity Hierarchies in Fixed-Point Logics.
Proceedings of the Computer Science Logic, 7th Workshop, 1993


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