Arnab Chatterjee

collaborators

4 papers

cs.DM2025

The random $k$ -SAT Gibbs uniqueness threshold revisited

Arnab Chatterjee, Amin Coja-Oghlan, Catherine Greenhill +4

We prove that for any $k \geq 3$ for clause/variable ratios up to the Gibbs uniqueness threshold of the corresponding Galton-Watson tree, the number of satisfying assignments of rand…

cs.DM2025

Symmetric Rule-Based Achlioptas Processes for Random $k$ -SAT

Arnab Chatterjee

Inspired by the "power-of-two-choices" model from random graphs, we investigate the possibility of limited choices of online clause choices that could shift the satisfiability thre…

math.CO2025

Belief Propagation Guided Decimation on Random k-XORSAT

Arnab Chatterjee, Amin Coja-Oghlan, Mihyun Kang +3

We analyse the performance of Belief Propagation Guided Decimation, a physics-inspired message passing algorithm, on the random $k$ -XORSAT problem. Specifically, we derive an expli…

math.CO2025

Asymptotic size of the Karp-Sipser Core in Configuration Model

Arnab Chatterjee, Joon Hyung Lee, Haodong Zhu

We study the asymptotic size of the Karp-Sipser core in the configuration model with arbitrary degree distributions. The Karp-Sipser core is the induced subgraph obtained by iterat…

The random k-SAT Gibbs uniqueness threshold revisited

Symmetric Rule-Based Achlioptas Processes for Random k-SAT

Belief Propagation Guided Decimation on Random k-XORSAT

Asymptotic size of the Karp-Sipser Core in Configuration Model

The random $k$ -SAT Gibbs uniqueness threshold revisited

Symmetric Rule-Based Achlioptas Processes for Random $k$ -SAT