Academic Journal
Dynamic Light Spanners in Doubling Metrics
| Τίτλος: | Dynamic Light Spanners in Doubling Metrics |
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| Συγγραφείς: | Bhore, Sujoy, Conroy, Jonathan, Filtser, Arnold |
| Συνεισφορές: | Sujoy Bhore and Jonathan Conroy and Arnold Filtser |
| Στοιχεία εκδότη: | Schloss Dagstuhl – Leibniz-Zentrum für Informatik |
| Έτος έκδοσης: | 2026 |
| Συλλογή: | DROPS - Dagstuhl Research Online Publication Server (Schloss Dagstuhl - Leibniz Center for Informatics ) |
| Θεματικοί όροι: | Dynamic data structures, spanners, light-weight, Euclidean metrics, doubling metrics |
| Περιγραφή: | A t-spanner of a point set X in a metric space (𝒳, δ) is a graph G with vertex set P such that, for any pair of points u,v ∈ X, the distance between u and v in G is at most t times δ(u,v). We study the problem of maintaining a spanner for a dynamic point set X - that is, when X undergoes a sequence of insertions and deletions - in a metric space of constant doubling dimension. For any constant ε > 0, we maintain a (1+ε)-spanner of P whose total weight remains within a constant factor of the weight of the minimum spanning tree of X. Each update (insertion or deletion) can be performed in poly(log Φ) time, where Φ denotes the aspect ratio of X. Prior to our work, no efficient dynamic algorithm for maintaining a light-weight spanner was known even for point sets in low-dimensional Euclidean space. |
| Τύπος εγγράφου: | article in journal/newspaper conference object |
| Περιγραφή αρχείου: | application/pdf |
| Γλώσσα: | English |
| Relation: | Is Part Of LIPIcs, Volume 367, 42nd International Symposium on Computational Geometry (SoCG 2026); https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2026.13 |
| DOI: | 10.4230/LIPIcs.SoCG.2026.13 |
| Διαθεσιμότητα: | https://doi.org/10.4230/LIPIcs.SoCG.2026.13 https://nbn-resolving.org/urn:nbn:de:0030-drops-258193 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2026.13 |
| Rights: | https://creativecommons.org/licenses/by/4.0/legalcode |
| Αριθμός Καταχώρησης: | edsbas.40A89E13 |
| Βάση Δεδομένων: | BASE |
| DOI: | 10.4230/LIPIcs.SoCG.2026.13 |
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