Paper Citation Record · LEDGER

FPT Constant Approximation Algorithms for Colorful Sum of Radii

As of 19 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 2 inbound Pith citation observations for arXiv:2506.13191.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.13191 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:47:34.089974Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-16T07:24:07.482157Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-16T07:27:31.721407Z

Reference resolution

23 of 23 outbound references displayed

verified exact1
verified fuzzy20
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d761c2bc-554f-4a43-85be-96d7b796fa5c · outbound

This paper cites Clustering what matters: Optimal approximation for clustering with outliers.

FPT Constant Approximation Algorithms for Colorful Sum of Radii Clustering what matters: Optimal approximation for clustering with outliers

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:34.483224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6c5760b1-2ba6-4a09-80ab-8d183a02e3f7 · outbound

This paper cites A technique for obtaining true approximations for k-center with covering constraints.

FPT Constant Approximation Algorithms for Colorful Sum of Radii A technique for obtaining true approximations for k-center with covering constraints

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:34.468540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d1e6fe38-e27a-4c3d-a9c3-383a61754b15 · outbound

This paper cites A constant approximation for colorful k-center.

FPT Constant Approximation Algorithms for Colorful Sum of Radii A constant approximation for colorful k-center

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:34.453386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 72485aa9-b90f-4a27-8865-edea25fce836 · outbound

This paper cites Fair algorithms for clustering.

FPT Constant Approximation Algorithms for Colorful Sum of Radii Fair algorithms for clustering

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:34.438245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 16608608-f23a-4a63-ae7a-3cd02f5c56c1 · outbound

This paper cites an unresolved cited work.

FPT Constant Approximation Algorithms for Colorful Sum of Radii Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:47:34.422823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 25c8d010-0c99-4c29-9ef7-0a3854b1f675 · outbound

This paper cites Fpt approximations for fair k-min-sum-radii.

FPT Constant Approximation Algorithms for Colorful Sum of Radii Fpt approximations for fair k-min-sum-radii

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:34.408693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f968dbb4-37b0-40f2-9d15-b74587d98cd8 · outbound

This paper cites Algorithms for facility location problems with outliers.

FPT Constant Approximation Algorithms for Colorful Sum of Radii Algorithms for facility location problems with outliers

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:34.393814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2492517b-e72a-4060-b027-847e4e70514c · outbound

This paper cites Clustering to minimize the sum of cluster diameters.

FPT Constant Approximation Algorithms for Colorful Sum of Radii Clustering to minimize the sum of cluster diameters

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:34.378490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation facbaac5-6eaa-44f4-a2b5-06c928a55855 · outbound

This paper cites Algorithms for covering multiple submodular constraints and applications.

FPT Constant Approximation Algorithms for Colorful Sum of Radii Algorithms for covering multiple submodular constraints and applications

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:34.363809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a5b58420-5844-48f6-8200-6501861db83e · outbound

This paper cites Parameter- ized approximation algorithms for sum of radii clustering and variants.

FPT Constant Approximation Algorithms for Colorful Sum of Radii Parameter- ized approximation algorithms for sum of radii clustering and variants

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:34.348872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation caa5eef5-48a5-4079-8be7-c88d7a0e63e7 · outbound

This paper cites Pro- portionally fair clustering.

FPT Constant Approximation Algorithms for Colorful Sum of Radii Pro- portionally fair clustering

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:34.333969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation aafaef13-8f9f-4138-bc48-4db6b6b60205 · outbound

This paper cites Fair clustering through fairlets.

FPT Constant Approximation Algorithms for Colorful Sum of Radii Fair clustering through fairlets

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:34.318852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6443017c-986f-4c9b-aa3b-f90640a03aba · outbound

This paper cites FPT approximations for Capacitated Sum of Radii and Diameters.

FPT Constant Approximation Algorithms for Colorful Sum of Radii FPT approximations for Capacitated Sum of Radii and Diameters

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:34.047421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d471fba-f79f-4f2b-8c73-4fd451f4e90e · outbound

This paper cites Improved polynomial-time approximations for clustering with minimum sum of radii or diameters.

FPT Constant Approximation Algorithms for Colorful Sum of Radii Improved polynomial-time approximations for clustering with minimum sum of radii or diameters

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:34.303717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fc10c56e-62fb-4b4e-9b9a-b2f55ba0484a · outbound

This paper cites An efficient reduction technique for degree-constrained subgraph and bidirected network flow problems.

FPT Constant Approximation Algorithms for Colorful Sum of Radii An efficient reduction technique for degree-constrained subgraph and bidirected network flow problems

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:34.285820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 681c7057-d300-4eeb-9e9a-2c55ff45821a · outbound

This paper cites Socially fair k-means clustering.

FPT Constant Approximation Algorithms for Colorful Sum of Radii Socially fair k-means clustering

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:34.270509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8b256066-ad13-4574-9db9-0b5e7a67010c · outbound

This paper cites On metric clustering to minimize the sum of radii.

FPT Constant Approximation Algorithms for Colorful Sum of Radii On metric clustering to minimize the sum of radii

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:34.252108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 294ffcd0-ece6-4040-a0bc-4b1bab471322 · outbound

This paper cites Cluster analysis and mathematical programming.

FPT Constant Approximation Algorithms for Colorful Sum of Radii Cluster analysis and mathematical programming

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:34.234002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c0d5f71a-e35f-4e19-b744-d9a231e9808b · outbound

This paper cites Capacitated sum-of-radii clustering: An fpt approximation.

FPT Constant Approximation Algorithms for Colorful Sum of Radii Capacitated sum-of-radii clustering: An fpt approximation

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:34.218029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 98857c75-d8c2-493c-878e-fe9190e65905 · outbound

This paper cites Fpt approximation for capacitated sum of radii.

FPT Constant Approximation Algorithms for Colorful Sum of Radii Fpt approximation for capacitated sum of radii

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:34.202133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 19b1edbf-da59-460c-bc39-8eb1646b975e · outbound

This paper cites Fair colorful k-center clustering.

FPT Constant Approximation Algorithms for Colorful Sum of Radii Fair colorful k-center clustering

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:34.187379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e0d701a1-8c1a-4c75-9cf9-0cfb2991cc87 · outbound

This paper cites Partitioning points and graphs to minimize the maximum or the sum of diameters.

FPT Constant Approximation Algorithms for Colorful Sum of Radii Partitioning points and graphs to minimize the maximum or the sum of diameters

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:34.171039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1f2dce8f-f409-41d8-b331-a07e39f5c1bf · outbound

This paper cites Polynomial-Time Constant-Approximation for Fair Sum-of-Radii Clustering.

FPT Constant Approximation Algorithms for Colorful Sum of Radii Polynomial-Time Constant-Approximation for Fair Sum-of-Radii Clustering

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:47:34.135877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 5af41279-f684-49c8-8f8a-c661d0709f13 · inbound

FPT Approximations for Fair Sum of Radii with Outliers and General Norm Objectives cites this paper.

FPT Approximations for Fair Sum of Radii with Outliers and General Norm Objectives FPT Constant Approximation Algorithms for Colorful Sum of Radii

Reference 40

Resolution: verified exact; arxiv_id, observed 2026-05-16T07:27:31.723604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cc0009ac-7a02-461c-a46f-f0649a57e9c7 · inbound

On the Parameterized Approximability of (Mergeable) Sum of Radii Clustering cites this paper.

On the Parameterized Approximability of (Mergeable) Sum of Radii Clustering FPT Constant Approximation Algorithms for Colorful Sum of Radii

Reference 40

Resolution: verified exact; arxiv_id, observed 2026-05-11T21:21:13.190031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.