Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-09T05:29:22.411952Z
Paper Citation Record · LEDGER
As of 18 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 0 inbound Pith citation observations for arXiv:2607.07615.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-09T05:29:22.411952Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
61 of 61 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation d8c6b6c2-9e16-43a1-a388-c27fe752e322 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs On the fine- grained complexity of approximating k-center in sparse graphs
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation cb503389-5dc8-4a12-852d-1615436303b1 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Aggarwal and Chandan K
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 35c831bf-66d7-44e5-bc48-fab8786aebfa · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Better Guarantees for k-Means and
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation beb78ff7-b7e6-475e-aa5c-7e3328d79d61 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Euclidean spanners: short, thin, and lanky
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 77784e43-d4c6-4e1f-9531-d378013a1916 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Proceedings of the Thiry-Fourth Annual ACM Symposium on Theory of Computing , pages =
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 51c52dc7-ee47-4c7a-9818-ad49ab37b3cc · outbound
Faster Randomized and Deterministic k-Clustering on Graphs 37th Annual Symposium on Foundations of Computer Science
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 359ece73-11ea-4b8b-972f-60953cb9c8f4 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Optimal fully dynamick-center clustering for adaptive and oblivious adversaries
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d5a52e09-d634-4dd4-8b6e-3e3e75795df4 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs A survey of clustering data mining techniques
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 07db4793-b844-4c70-946e-7ed25c5af91d · outbound
Faster Randomized and Deterministic k-Clustering on Graphs An improved approximation fork-median and positive correlation in budgeted optimization
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3be6ce3f-a3c6-459a-9de9-515c545d2763 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Rounding via trees: Deterministic approximation algorithms for group steiner trees andk-median
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b3a4ae5a-1a78-445f-aaf0-cc2c028c4f71 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Tight pair query lower bounds for matching and earth mover’s distance
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b712cac9-fadf-444e-a21f-7515d64efa59 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Improved combinatorial algorithms for facility location problems.SIAM J
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 89157c27-a273-4547-b457-bd0c4cfbd826 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs A Constant-Factor Approximation Algorithm for the k -Median Problem , journal =
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation bc6b5c3c-20f7-4905-99a4-e29d397a33d5 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Mount, and Giri Narasimhan
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 36d707ea-b6bc-406c-86c9-af86b873f9ea · outbound
Faster Randomized and Deterministic k-Clustering on Graphs A dependent lp-rounding approach for the k-median problem
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7adab7e8-5e9f-4572-8d44-a3a1c8af8f16 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs On coresets for k-median and k-means clustering in metric and euclidean spaces and their applications.SIAM J
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 04413630-ee44-42c4-91b9-4a4d3fd69f0c · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Size-estimation framework with applications to transitive closure and reachability
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ac529a2c-e6f2-4408-98df-d29a9e2f0b10 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs All-pairs small-stretch paths.J
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a97cc758-b20c-4995-82b2-84f42ba5b4ee · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Breach- ing the 2 LMP approximation barrier for facility location with applications tok-median
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 70721d2a-683b-4098-9c81-49450a4b2378 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs A (2 +ε)-approximation algorithm for metric k-median
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 79f7d428-38b1-4f43-9158-e5bfad0dbebf · outbound
Faster Randomized and Deterministic k-Clustering on Graphs An improved local search algorithm for k-median
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3d5480c0-e399-4a3c-b4da-6b952d9900af · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Deterministic k-median clustering in near-optimal time
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c0bf7b85-247f-4eb1-be2d-b46eb25713f5 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Greedy Strategy Works for k-Center Clustering with Outliers and Coreset Construction
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 821095e3-1007-4bf6-bac8-81a75678ed38 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Optimal euclidean spanners: Really short, thin, and lanky.J
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9ef59305-3a21-4edb-9916-6212db59279a · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b6f3fab7-d71b-4f9d-8bfa-bf02c1b535a0 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs On strong diameter padded decompositions
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 14a7722a-3261-476c-8bcb-dc691f3edd52 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs González
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5f2888e4-f016-4fd5-8842-dd84dffce9a7 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs On incremental approximate shortest paths in directed graphs
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4e921e85-232f-4daa-a432-306321812186 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Gowda, Thomas W
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ac40d49a-a2be-4b23-84bf-d86a361e2e95 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Clustering data streams
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b72b8484-0594-4216-8ece-546e183b44d6 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Simpler Analyses of Local Search Algorithms for Facility Location
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation fabe1fae-f332-48c3-a2ce-957f1094332b · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Cluster analysis and mathematical programming.Math
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b432c5d0-9e30-4fd0-baec-6a8ed0eae2bc · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Clustering motion.Discret
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 568319e5-c9a1-4953-8eb2-682c446c5f28 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Euclidean spanners in high di- mensions
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a804d6bb-beb2-48a2-9551-b538606a0d0e · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Hochbaum and David B
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 831c4af8-6f57-4b72-a724-e3afd3fd1a2a · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Sublinear time algorithms for metric space problems
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7a6d8fae-2504-4e29-b3c0-3b6c34c41df9 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs ACM Computing Surveys31(3), 264–323 (1999) https://doi.org/10.1145/331499.331504
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c5708c47-3f8d-4251-a905-035e4b383b67 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Vazirani
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4d6a7b35-c4db-45e3-8de3-a81cb646b8d2 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs A new greedy approach for facility location problems
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 58241db2-acbf-4a98-add9-51aaf18cd762 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Vazirani
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 63648e53-a07e-4e80-bdda-216c61a08538 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Local search for clustering in almost-linear time
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7d0cf9a8-17fe-425a-87ba-c55668eb586f · outbound
Faster Randomized and Deterministic k-Clustering on Graphs The price of incrementality in k-center clustering
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation afff5cf9-091d-4cd4-b3bf-267ba394e50c · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Faster and Simpler Greedy Algorithm for $k$-Median and $k$-Means
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9b29963c-ee4e-4a00-a12c-c918f78932c2 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Truly optimal euclidean spanners.SIAM Journal on Computing, 54(4):FOCS19–135, 2025
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5a024fd0-470e-4d66-827b-af72f59dc14f · outbound
Faster Randomized and Deterministic k-Clustering on Graphs 2016 , url =
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 397834d0-380a-4c62-a19a-f65ca2136cab · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Williamson
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 17ff2797-b7d9-4bc2-8677-00eb8092916c · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Faster approximation schemes for fractional multicommodity flow problems via dynamic graph algorithms
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 74c8c37e-5538-4f49-b535-80d8cd52c668 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs The online median problem.SIAM Journal on Computing, 32(3):816–832, 2003
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation cca6e92a-885c-47e6-a710-5b7af630fc97 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Mettu and C
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1761d4e3-3da5-4f81-a7a4-e99ca634ef64 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Deterministic constructions of approximate distance oracles and spanners
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 47db78f5-9f8b-4723-be43-6e8da9aba6f2 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs On dynamic shortest paths problems.Algorithmica, 61(2):389–401, 2011
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0969efc1-9670-4ab8-889a-360b926e1401 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Quick k-median, k-center, and facility location for sparse graphs
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 02844eda-af23-40cb-be3d-62b5a17e4313 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Quick k-median, k-center, and facility location for sparse graphs.SIAM Journal on Computing, 34(2):405–432, 2005
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 73044e5a-0c5d-4e49-8aa1-09cbcb61bc7a · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Compact routing schemes
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7c86ea44-6b76-48b3-9d53-349e6fcef8d4 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Approximate distance oracles.Journal of the ACM (JACM), 52(1):1–24, 2005
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation bdfd7d59-705f-4d07-b045-a21b255ab4ac · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Statistics and Computing 17: 395--416
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0454d9db-970e-4cd9-9bf5-eb84a047bbe2 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Shmoys.The Design of Approximation Algorithms
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f564ea21-e647-4c38-a4e7-cbb0ef02d4d3 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs In turn, the constraint onc becomes c≥ ρ2 2 instead ofc≥5
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 71869e2b-0587-4a70-8fd5-ff3a4aa54479 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs When cost(In(Pγ), Ck)is analyzed in the proof of Lemma A.5, the constant3can be trivially replaced by ρ, since (rγ)z · |B(γ, r γ)| ≤ρ·Value(B(γ, r γ))
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 978b7d72-8cd2-4c87-a0dd-8d4823636b63 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs When cost(B(x, c·r ), Γ) is analyzed in the proof of Lemma A.6, the constant3can be trivially replaced byρ, since rz · |B(x, c·r)| ≥ Value(B(x,r)) ρ
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 555753fb-d05f-49b1-b051-8da58ef50426 · outbound
Faster Randomized and Deterministic k-Clustering on Graphs Bk-Center with Outliers We now extend the incremental framework developed in Section 3 to thek-center problem with outliers, where up tot points may be discarded
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
No inbound Pith citation observations are available.