The content discusses the significance of hop-constrained metric embeddings in network design problems, focusing on compact routing and approximation algorithms. The author introduces novel approaches to improve Ramsey-type embeddings, clan embeddings, and subgraph-preserving embeddings. These advancements lead to enhanced bicriteria approximation algorithms for various hop-constrained network design issues. Additionally, the study explores the development of hop-constrained distance oracles, distance labeling schemes, and compact routing schemes with provable guarantees.
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by Arnold Filts... alle arxiv.org 03-01-2024
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