The content discusses the maintenance of lightweight spanners in dynamic point sets. It introduces a hierarchical structure for sparse spanner construction and novel concepts for reducing weight while maintaining stretch factor. The paper also addresses representative assignment and bounded-degree spanner construction.
The authors analyze the impact of point insertions and deletions on the spanner, ensuring bounded stretch-factor and degree. They propose an amortized analysis to handle updates efficiently, achieving constant recourse for insertions and logarithmic recourse for deletions.
Overall, the content provides insights into maintaining efficient lightweight spanners in dynamic scenarios, offering solutions for minimizing changes while preserving key properties.
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by Hadi Khodaba... lúc arxiv.org 03-07-2024
https://arxiv.org/pdf/2403.03290.pdfYêu cầu sâu hơn