The Power of the Weisfeiler--Leman Algorithm to Decompose Graphs
DOI10.1137/20M1314987zbMath1493.68273arXiv1908.05268MaRDI QIDQ5028356
Publication date: 9 February 2022
Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.05268
Analysis of algorithms and problem complexity (68Q25) Graph theory (including graph drawing) in computer science (68R10) Planar graphs; geometric and topological aspects of graph theory (05C10) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Graph algorithms (graph-theoretic aspects) (05C85) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The vertex-connectivity of a distance-regular graph
- The connectivity of strongly regular graphs
- An optimal lower bound on the number of variables for graph identification
- Treewidth. Computations and approximations
- On the connectivity of graphs in association schemes
- Logical hierarchies in PTIME
- A V log V algorithm for isomorphism of triconnected planar graphs
- Positive-instance driven dynamic programming for treewidth
- Practical graph isomorphism. II.
- \(A\,V^ 2\) algorithm for determining isomorphism of planar graphs
- Sherali--Adams Relaxations and Indistinguishability in Counting Logics
- On recognizing graphs by numbers of homomorphisms
- PEBBLE GAMES AND LINEAR EQUATIONS
- The Power of Counting Logics on Restricted Classes of Finite Structures
- Complexity of Finding Embeddings in a k-Tree
- Graph Isomorphism for unit square graphs
- Dividing a Graph into Triconnected Components
- Isomorphism of Planar Graphs (Working Paper)
- The Weisfeiler--Leman Dimension of Planar Graphs Is at Most 3
- On the Combinatorial Power of the Weisfeiler-Lehman Algorithm
- Descriptive Complexity, Canonisation, and Definable Graph Structure Theory
- Graph isomorphism in quasipolynomial time [extended abstract]
- Fixed-point definability and polynomial time on graphs with excluded minors
- On Weisfeiler-Leman invariance: subgraph counts and related graph properties
This page was built for publication: The Power of the Weisfeiler--Leman Algorithm to Decompose Graphs