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Paper Citation Record · LEDGER

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem

As of 7 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2507.12304.

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

pith.paper-citation-record.v1
2507.12304 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:04:38.542320Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

37 of 37 outbound references displayed

  • verified exact1
  • verified fuzzy27
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ac7688f1-09a6-4251-a903-5b04c1968865 · outbound

This paper cites Avis and V.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Avis and V

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T17:04:34.594548Z digest=sha256:275f43f01e4a537d2ed3147d3442840b02693b8d625810953649f727a082178f

Observation 3f3dc28c-e5da-49ec-b245-9c34ebed8e39 · outbound

This paper cites Fast algorithms for geometric traveling salesman problems.ORSA Journal on Computing , 4(4):387–411, 1992.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Fast algorithms for geometric traveling salesman problems.ORSA Journal on Computing , 4(4):387–411, 1992

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:04:45.539672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation ad776d90-d522-4af1-81d2-d3e9befca989 · outbound

This paper cites Exponential lower bounds for many pivot rules for the sim- plex method.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Exponential lower bounds for many pivot rules for the sim- plex method

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 6d30a613-5599-4f4d-8df3-b271b9453404 · outbound

This paper cites Brodowsky, Stefan Hougardy, and Xianghui Zhong.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Brodowsky, Stefan Hougardy, and Xianghui Zhong

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation a6057ebe-a91e-4c77-add1-3f9fde44671c · outbound

This paper cites New results on the oldk-opt algo- rithm for the traveling salesman problem.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem New results on the oldk-opt algo- rithm for the traveling salesman problem

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:04:44.960230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 14d2dd4c-54b7-4e49-821a-a7190c5bd25f · outbound

This paper cites an unresolved cited work.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:04:44.772025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 9ccbfc3e-d133-4f48-b0f4-2cad08768764 · outbound

This paper cites an unresolved cited work.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:04:44.630916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 6d6ab920-10aa-4303-a600-570716e9b31f · outbound

This paper cites Smoothed analysis of the 2- opt algorithm for the general TSP.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Smoothed analysis of the 2- opt algorithm for the general TSP

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation df6a42d7-0323-41bb-809a-72cfc69bea58 · outbound

This paper cites Worst case and probabilistic analysis of the 2-opt algorithm for the TSP.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Worst case and probabilistic analysis of the 2-opt algorithm for the TSP

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:04:44.028828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation a6c50128-48e0-410f-a989-a0e746646598 · outbound

This paper cites an unresolved cited work.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:04:43.770856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 2b8972c1-64ee-4d8f-8c67-d1b3fcee66e0 · outbound

This paper cites On the Smoothed Complexity of Combinatorial Local Search.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem On the Smoothed Complexity of Combinatorial Local Search

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 6616f29f-d0cc-4030-8778-49ac5fe803f9 · outbound

This paper cites On the smoothed complexity of combinatorial local search.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem On the smoothed complexity of combinatorial local search

Reference 12

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 57bb0632-be3d-4f88-b691-465274272fec · outbound

This paper cites Worst case behavior of the steepest edge simplex method.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Worst case behavior of the steepest edge simplex method

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 8fc02db9-1ae4-44e0-aee9-20683a812d02 · outbound

This paper cites an unresolved cited work.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:04:42.795549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T17:04:35.925099Z digest=sha256:842d1695228b249a55f1eda5edb95bcd51e05ed791844a591d1a51bbe4c4d9c2

Observation f67df12b-d859-480f-b692-a1d1ac15fcd5 · outbound

This paper cites Hoang, and Stefan Hougardy.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Hoang, and Stefan Hougardy

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:04:42.565996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 8f3d5fe9-fbe2-4621-bd9a-bd674f5e3d74 · outbound

This paper cites Hoang and Stefan Hougardy.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Hoang and Stefan Hougardy

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 6fbddce0-551f-4e78-b274-b126f7af794b · outbound

This paper cites The approximation ratio of the 2-opt heuristic for the metric traveling salesman problem.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem The approximation ratio of the 2-opt heuristic for the metric traveling salesman problem

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation c99b9706-9dce-4660-946c-e68b9a3519f7 · outbound

This paper cites an unresolved cited work.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:04:42.224439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 465b0911-6e51-46f2-82bb-24163dbee80a · outbound

This paper cites Johnson and Lyle A.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Johnson and Lyle A

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation ae18dfb2-6b49-49c0-a88f-10dd37f30563 · outbound

This paper cites Johnson and Lyle A.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Johnson and Lyle A

Reference 20

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 8a1dceea-73f0-4a2d-9705-9c8477660ece · outbound

This paper cites Johnson, Christos H.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Johnson, Christos H

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 8e1783a7-f7b4-43e2-9a64-cc8a5e7555fd · outbound

This paper cites Kleitman.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Kleitman

Reference 22

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 450cb861-ca66-41d5-92d2-130fea758c35 · outbound

This paper cites Mount, Nathan S.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Mount, Nathan S

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:04:41.452459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 5adb64d3-4e13-4982-8334-5c946173ac77 · outbound

This paper cites an unresolved cited work.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:04:41.272676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 73318d48-6c3d-4c46-8100-6e81f6ca9dd7 · outbound

This paper cites an unresolved cited work.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:04:41.086193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation a0000ed2-064a-419b-9d2e-221dccaadb00 · outbound

This paper cites Structure in locally optimal solutions.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Structure in locally optimal solutions

Reference 26

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation d57aec9a-8cd1-4a74-96ac-afa712ccec23 · outbound

This paper cites Computer solutions of the traveling salesman problem.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Computer solutions of the traveling salesman problem

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:04:40.752535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 57246904-c924-470e-9589-c5776e82ac65 · outbound

This paper cites Improved smoothed analysis of 2-opt for the euclidean TSP.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Improved smoothed analysis of 2-opt for the euclidean TSP

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:04:40.546062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation c396724b-953d-49f9-9b30-5544941fdcea · outbound

This paper cites Superpolynomial smoothed complexity of 3-FLIP in Local Max-Cut.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Superpolynomial smoothed complexity of 3-FLIP in Local Max-Cut

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-06T17:04:37.663299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:04:37.663299Z digest=sha256:a44860e61e9713f51439bd2159f35f065f1762b368b891d1dca1b7d670de1e9a

Observation e095d8b1-09e4-49e4-bf56-dbd0894a1f9d · outbound

This paper cites On the power of nodes of degree four in the local max-cut problem.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem On the power of nodes of degree four in the local max-cut problem

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:04:40.346046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 4778c26a-c881-4786-8c3d-311ee4f716f2 · outbound

This paper cites Papadimitriou.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Papadimitriou

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:04:40.054529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T17:04:38.014487Z digest=sha256:fe9b7a1e68cf63590e53fc664c4535a0f5c64114d6ec23dcff21caeb336ffb92

Observation ce667ff2-3c8e-4b56-b076-26e078eb87d9 · outbound

This paper cites Papadimitriou, Alejandro A.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Papadimitriou, Alejandro A

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:04:39.854541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation fce2361a-36b8-4251-9e9c-455aa0dc4857 · outbound

This paper cites Integer linear programs and local search for max-cut.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Integer linear programs and local search for max-cut

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:04:39.652002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T17:04:38.174893Z digest=sha256:1024b2c5a38535e31c9ea966d74bc4cca0f3e75482b64089ef34c2f5044d6eed

Observation 3c93df68-ed73-49a2-ab2e-986651f454c8 · outbound

This paper cites Sch¨ affer and Mihalis Yannakakis.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Sch¨ affer and Mihalis Yannakakis

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:04:39.413616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T17:04:38.283711Z digest=sha256:156d76ece24a88e2c1ba77d2a88723d3b96e4b46d8dd78edb77f9acd1b2606ff

Observation 1c435ff4-2b62-4d31-b596-aaae4bea2eee · outbound

This paper cites Computational complexity.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Computational complexity

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This paper cites On the approximation ratio of the k-opt and lin-kernighan algo- rithm for metric and graph tsp.

A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem On the approximation ratio of the k-opt and lin-kernighan algo- rithm for metric and graph tsp

Reference 36

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A near-complete resolution of the exponential-time complexity of k-opt for the traveling salesman problem Unresolved cited work

Reference 275

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