A Fast-Converging Decentralized Approach to the Weighted Minimum Vertex Cover Problem

Fuente: arXiv
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Autores principales: Mordacchini, Matteo, Carlini, Emanuele, Dazzi, Patrizio
Formato: Preprint
Publicado: 2025
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author Mordacchini, Matteo
Carlini, Emanuele
Dazzi, Patrizio
author_facet Mordacchini, Matteo
Carlini, Emanuele
Dazzi, Patrizio
contents We address the problem of computing a Minimum Weighted Vertex Cover (MWVC) in a decentralized network. MWVC, a classical NP-hard problem, is foundational in applications such as network monitoring and resource placement. We propose a fully decentralized protocol where each node makes decisions using only local knowledge and communicates with its neighbors. The method is adaptive, communication-efficient, and avoids centralized coordination. We evaluate the protocol on real-world and synthetic graphs, comparing it to both centralized and decentralized baselines. Our results demonstrate competitive solution quality with reduced communication overhead, highlighting the feasibility of MWVC computation in decentralized environments.
format Preprint
id arxiv_https___arxiv_org_abs_2510_11697
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Fast-Converging Decentralized Approach to the Weighted Minimum Vertex Cover Problem
Mordacchini, Matteo
Carlini, Emanuele
Dazzi, Patrizio
Distributed, Parallel, and Cluster Computing
Data Structures and Algorithms
We address the problem of computing a Minimum Weighted Vertex Cover (MWVC) in a decentralized network. MWVC, a classical NP-hard problem, is foundational in applications such as network monitoring and resource placement. We propose a fully decentralized protocol where each node makes decisions using only local knowledge and communicates with its neighbors. The method is adaptive, communication-efficient, and avoids centralized coordination. We evaluate the protocol on real-world and synthetic graphs, comparing it to both centralized and decentralized baselines. Our results demonstrate competitive solution quality with reduced communication overhead, highlighting the feasibility of MWVC computation in decentralized environments.
title A Fast-Converging Decentralized Approach to the Weighted Minimum Vertex Cover Problem
topic Distributed, Parallel, and Cluster Computing
Data Structures and Algorithms
url https://arxiv.org/abs/2510.11697