activity
20082026
most citedOn independent sets in random graphs

52 citations · 130 across the 20 of their papers we have counts for

collaborators

24 papers

cs.DM2026

On sampling diluted Spin-Glasses with unbounded interactions

Charilaos Efthymiou, Kostas Zampetakis

Spin-glasses are natural Gibbs distributions that have been studied in Theoretical CS for many decades. Recently, they have been gaining attention from the community as they emerge…

cs.DM2024

On sampling two spin models using the local connective constant

Charilaos Efthymiou

This work establishes novel optimum mixing bounds for the Glauber dynamics on the Hard-core and Ising models. These bounds are expressed in terms of the local connective constant o…

cs.DM2024

On sampling diluted Spin Glasses using Glauber dynamics

Charilaos Efthymiou, Kostas Zampetakis

Spin-glasses are Gibbs distributions that have been studied in CS for many decades. Recently, they have gained renewed attention as they emerge naturally in learning, inference, op…

cs.DM2024

Spectral Independence Beyond Uniqueness with. the topological method -- An extended view

Charilaos Efthymiou

We present novel results for fast mixing of Glauber dynamics using the newly introduced and powerful Spectral Independence method from [Anari, Liu, Oveis-Gharan: FOCS 2020]. We mai…

cs.DM2023

Optimal Mixing via Tensorization for Random Independent Sets on Arbitrary Trees

Charilaos Efthymiou, Thomas P. Hayes, Daniel Stefankovic +1

We study the mixing time of the single-site update Markov chain, known as the Glauber dynamics, for generating a random independent set of a tree. Our focus is obtaining optimal co…

cs.DM2023

On the Mixing Time of Glauber Dynamics for the Hard-core and Related Models on G(n,d/n)

Charilaos Efthymiou, Weiming Feng

We study the single-site Glauber dynamics for the fugacity , Hard-core model on the random graph . We show that for the typical instances of the random graph $G(n,d/n…