A Hypergraph Approach to Distributed Broadcast
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866908521486876672 |
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| author | Cao, Qi Shao, Yulin Yang, Fan Dobre, Octavia A. |
| author_facet | Cao, Qi Shao, Yulin Yang, Fan Dobre, Octavia A. |
| contents | This paper explores the distributed broadcast problem within the context of network communications, a critical challenge in decentralized information dissemination. We put forth a novel hypergraph-based approach to address this issue, focusing on minimizing the number of broadcasts to ensure comprehensive data sharing among all network users. The key contributions of this work include the establishment of a general lower bound for the problem using the min-cut capacity of hypergraphs, and a distributed broadcast for quasi-trees (DBQT) algorithm tailored for the unique structure of quasi-trees, which is proven to be optimal. This paper advances both network communication strategies and hypergraph theory, with implications for a wide range of real-world applications, from vehicular and sensor networks to distributed storage systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16376 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Hypergraph Approach to Distributed Broadcast Cao, Qi Shao, Yulin Yang, Fan Dobre, Octavia A. Information Theory Multiagent Systems Systems and Control This paper explores the distributed broadcast problem within the context of network communications, a critical challenge in decentralized information dissemination. We put forth a novel hypergraph-based approach to address this issue, focusing on minimizing the number of broadcasts to ensure comprehensive data sharing among all network users. The key contributions of this work include the establishment of a general lower bound for the problem using the min-cut capacity of hypergraphs, and a distributed broadcast for quasi-trees (DBQT) algorithm tailored for the unique structure of quasi-trees, which is proven to be optimal. This paper advances both network communication strategies and hypergraph theory, with implications for a wide range of real-world applications, from vehicular and sensor networks to distributed storage systems. |
| title | A Hypergraph Approach to Distributed Broadcast |
| topic | Information Theory Multiagent Systems Systems and Control |
| url | https://arxiv.org/abs/2404.16376 |