Approximately Counting Independent Sets of a Given Size in Bounded-Degree Graphs
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Publication:5890038
DOI10.1137/21M1466220MaRDI QIDQ5890038
Publication date: 28 April 2023
Published in: SIAM Journal on Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.04984
Analysis of algorithms and problem complexity (68Q25) Enumeration in graph theory (05C30) Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) (68Q17) Probability in computer science (algorithm analysis, random structures, phase transitions, etc.) (68Q87)
Cites Work
- Unnamed Item
- Unnamed Item
- Central limit theorems, Lee-Yang zeros, and graph-counting polynomials
- Decay of correlations for the hardcore model on the \(d\)-regular random graph
- Counting in two-spin models on \(d\)-regular graphs
- Combinatorics and complexity of partition functions
- Gibbs measures and phase transitions.
- On the complexity of fixed parameter clique and dominating set
- Approximate counting, uniform generation and rapidly mixing Markov chains
- The complexity of counting colourings and independent sets in sparse graphs and hypergraphs
- The relative complexity of approximate counting problems
- A proof of the upper matching conjecture for large graphs
- A fixed-parameter perspective on \#BIS
- On a conjecture of Sokal concerning roots of the independence polynomial
- Central limit theorems from the roots of probability generating functions
- The maximum number of complete subgraphs in a graph with given maximum degree
- Approximation algorithms for two-state anti-ferromagnetic spin systems on bounded degree graphs
- Counting independent sets up to the tree threshold
- Polynomial-Time Approximation Algorithms for the Ising Model
- Inapproximability for Antiferromagnetic Spin Systems in the Tree Nonuniqueness Region
- Approximating the Permanent
- The Complexity of Enumeration and Reliability Problems
- Extremal Regular Graphs: Independent Sets and Graph Homomorphisms
- On the average size of independent sets in triangle-free graphs
- Deterministic Polynomial-Time Approximation Algorithms for Partition Functions and Graph Polynomials
- Spectral Independence in High-Dimensional Expanders and Applications to the Hardcore Model
- On Approximating the Number of $k$-Cliques in Sublinear Time
- Improved analysis of higher order random walks and applications
- Inapproximability of the Partition Function for the Antiferromagnetic Ising and Hard-Core Models
- Correlation Decay up to Uniqueness in Spin Systems
- Rapid Mixing of Glauber Dynamics up to Uniqueness via Contraction
- Tight bounds on the coefficients of partition functions via stability
- Optimal mixing of Glauber dynamics: entropy factorization via high-dimensional expansion
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