2025/07/22 by Allison Beemer, Beemer, Allison, Jessalyn Bolkema +1
Biochemistry, Genetics and Molecular Biology · #Combinatorics (math.CO) #DNA and Biological Computing #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Social and Information Networks (cs.SI)
paper · pdf · doi:10.48550/arxiv.2507.16583
openalex publication_date 2025/07/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Detection of communities in a graph entails identifying clusters of densely connected vertices; the area has a variety of important applications and a rich literature. The problem has previously been situated in the realm of error correcting codes by viewing a graph as a noisy version of the assumed underlying communities. In this paper, we introduce an encoding of community structure along with the resulting code's parameters. We then present a novel algorithm, SASH, to decode to estimated communities given an observed dataset. We demonstrate the performance of SASH via simulations on an assortative planted partition model and on the Zachary's Karate Club dataset.