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Paper Citation Record · LEDGER

Generalized Tur\'an problem for directed cycles

As of 8 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2505.22189.

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

pith.paper-citation-record.v1
2505.22189 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:30:22.244789Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

24 of 24 outbound references displayed

  • verified exact0
  • verified fuzzy22
  • unresolved2
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation abed9673-c682-43ed-a34f-e1bffb8724a0 · outbound

This paper cites Testing subgraphs in directed graphs.Proceedings of the thirty-fifth annual ACM symposium on Theory of computing, pages 700–709, 2003.

Generalized Tur\'an problem for directed cycles Testing subgraphs in directed graphs.Proceedings of the thirty-fifth annual ACM symposium on Theory of computing, pages 700–709, 2003

Reference 1

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation ba5c1c32-5384-4a58-bce2-44f78849c689 · outbound

This paper cites ManyTcopies inH-free graphs.Journal of Combinatorial Theory, Series B, 121:146–172, 2016.

Generalized Tur\'an problem for directed cycles ManyTcopies inH-free graphs.Journal of Combinatorial Theory, Series B, 121:146–172, 2016

Reference 2

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verified fuzzy
raw_fallback, observed 2026-08-07T13:30:28.553019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation d369a8c1-0a69-41a0-ad59-289d7fe8c333 · outbound

This paper cites an unresolved cited work.

Generalized Tur\'an problem for directed cycles Unresolved cited work

Reference 3

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unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:30:19.804824Z digest=sha256:c973b7d3641ae136e3324a547d553f38ac760dfb93acd9f550321c80ef78574c

Observation e59e3bef-fd5a-4090-b819-ec99214fba19 · outbound

This paper cites On the generalized Turán problem for odd cycles.SIAM Journal on Discrete Mathematics, 38(3):2416–2428, 2024.

Generalized Tur\'an problem for directed cycles On the generalized Turán problem for odd cycles.SIAM Journal on Discrete Mathematics, 38(3):2416–2428, 2024

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:30:19.962244Z digest=sha256:893c114dad9aab096587b8bc5981daccd29c312fa9f3d1fd6ede06b896846bb9

Observation 3ee0ee60-70db-4f24-9e5f-65c633685612 · outbound

This paper cites On a problem of partitions.American Journal of Mathematics, 64(1):299–312, 1942.

Generalized Tur\'an problem for directed cycles On a problem of partitions.American Journal of Mathematics, 64(1):299–312, 1942

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:30:27.595815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:30:20.045586Z digest=sha256:2f13bc10c4a4e07f404a82d3e24b92d693ff9a137f49578964f68b48cd149de3

Observation 49e2d4b3-68c6-4aef-87e5-91d34d61ce67 · outbound

This paper cites Inducibility of 4-vertex tournaments.

Generalized Tur\'an problem for directed cycles Inducibility of 4-vertex tournaments

Reference 6

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unresolved
no resolver link, observed 2026-08-07T13:30:20.156119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:30:20.156119Z digest=sha256:d1e2e6e501437d3cfb405f26444d106f66d45da3fde0e0c8494b05a1baab8b0a

Observation 2f8dd6ba-1d37-48d1-97df-a13d12886ee8 · outbound

This paper cites On the number of complete subgraphs contained in certain graphs.Magyar Tudományos Akadémia Matematikai Kutató Intézetének Közleményei, 7(3):459–464, 1962.

Generalized Tur\'an problem for directed cycles On the number of complete subgraphs contained in certain graphs.Magyar Tudományos Akadémia Matematikai Kutató Intézetének Közleményei, 7(3):459–464, 1962

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:30:27.184988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:30:20.273033Z digest=sha256:81c9b69256e80b8d73d6344c2ab48b19fb14236ab4262eb264978a9eb62d5874

Observation e986ade6-d3ac-4a04-a9ac-d6a8686aa066 · outbound

This paper cites On some problems in graph theory, combinatorial analysis and combinatorial number theory.Graph Theory and Combinatorics, pages 1–17, 1984.

Generalized Tur\'an problem for directed cycles On some problems in graph theory, combinatorial analysis and combinatorial number theory.Graph Theory and Combinatorics, pages 1–17, 1984

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:30:26.888878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:30:20.442688Z digest=sha256:7796c796ed504707e9272e6c1fb367e517e15d3ea1d69ba78de0b8bf176b52a9

Observation 242f28a3-8b44-4dbe-a440-e32a6e000676 · outbound

This paper cites On the structure of linear graphs.Bulletin of the American Mathematical Society, 52:1087–1091, 1946.

Generalized Tur\'an problem for directed cycles On the structure of linear graphs.Bulletin of the American Mathematical Society, 52:1087–1091, 1946

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:30:26.470316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:30:20.550746Z digest=sha256:4956f6749cc8ac5a2fd6ba09008e7684e71093c4d9ef21da7d316efff246af0f

Observation d7607a4a-10cf-4417-a765-47de797815cb · outbound

This paper cites On a theorem of Weyl concerning eigenvalues of linear transformations: II.Proceed- ings of the National Academy of Sciences, 36(1):31–35, 1950.

Generalized Tur\'an problem for directed cycles On a theorem of Weyl concerning eigenvalues of linear transformations: II.Proceed- ings of the National Academy of Sciences, 36(1):31–35, 1950

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:30:20.658316Z digest=sha256:4056075c1d4fd687661c19acdd3a9a67c8bbdb3a4f1ce61cc266e6714cf9595c

Observation 76c92ace-bccf-440d-b80c-1654932bf8f1 · outbound

This paper cites Generalized Turán prob- lems for even cycles.Journal of Combinatorial Theory, Series B, 145:169–213, 2020.

Generalized Tur\'an problem for directed cycles Generalized Turán prob- lems for even cycles.Journal of Combinatorial Theory, Series B, 145:169–213, 2020

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 2026-08-08T06:32:00.761636+00:00.

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Observation 303841d0-cbcc-4222-b078-3532f7bf12e7 · outbound

This paper cites AgeneralizedTuránproblemanditsapplications.Proceed- ings of the 50th Annual ACM SIGACT Symposium on Theory of Computing, pages 760–772, 2018.

Generalized Tur\'an problem for directed cycles AgeneralizedTuránproblemanditsapplications.Proceed- ings of the 50th Annual ACM SIGACT Symposium on Theory of Computing, pages 760–772, 2018

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:30:20.970825Z digest=sha256:f1e58327087e22ba43f9780ca5eb8655fb09476082bd96b1903190e5ba463a11

Observation aaf15e00-4174-4735-9e42-a28a49331aa0 · outbound

This paper cites On the maximum number of five-cycles in a triangle-free graph.Journal of Combinatorial Theory, Series B, 102(5):1061–1066, 2012.

Generalized Tur\'an problem for directed cycles On the maximum number of five-cycles in a triangle-free graph.Journal of Combinatorial Theory, Series B, 102(5):1061–1066, 2012

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:30:25.095472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation ad798758-ae2c-4db3-812f-7151c8d5c7a2 · outbound

This paper cites On the maximum number of odd cycles in graphs without smaller odd cycles.Journal of Graph Theory, 99(2):240–246, 2022.

Generalized Tur\'an problem for directed cycles On the maximum number of odd cycles in graphs without smaller odd cycles.Journal of Graph Theory, 99(2):240–246, 2022

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 5935b800-36d4-4742-be4a-f3df442b7a33 · outbound

This paper cites Lovász, and Jan Volec.

Generalized Tur\'an problem for directed cycles Lovász, and Jan Volec

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:30:24.614932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:30:21.290171Z digest=sha256:1e96b255ed43178abd512b1368c6ffeaa3862d0a7936b43d088cd8569ede701e

Observation 260fc60f-cc49-4244-8083-afc3f56bf39a · outbound

This paper cites On the number of pentagons in triangle-free graphs.Journal of Combinatorial Theory, Series A, 120(3):722–732, 2013.

Generalized Tur\'an problem for directed cycles On the number of pentagons in triangle-free graphs.Journal of Combinatorial Theory, Series A, 120(3):722–732, 2013

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:30:24.289306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 224df2ff-dacc-46d8-99bb-8cad51d91c1e · outbound

This paper cites Inducibility of orientations ofC4.

Generalized Tur\'an problem for directed cycles Inducibility of orientations ofC4

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:30:24.178521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation f2478aa7-6679-4638-ab4e-2622dd45a785 · outbound

This paper cites Sárközy, and Endre Szemerédi.

Generalized Tur\'an problem for directed cycles Sárközy, and Endre Szemerédi

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:30:24.056711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 86d0a1f0-2817-40dd-8fa8-241fbb519340 · outbound

This paper cites A bound on the inducibility of cycles.Journal of Combinatorial Theory, Series A, 161:359–363, 2019.

Generalized Tur\'an problem for directed cycles A bound on the inducibility of cycles.Journal of Combinatorial Theory, Series A, 161:359–363, 2019

Reference 19

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verified fuzzy
raw_fallback, observed 2026-08-07T13:30:23.821394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 80acd1af-7be2-44dd-933c-e3226db2ee72 · outbound

This paper cites Wiley New York, 1988.

Generalized Tur\'an problem for directed cycles Wiley New York, 1988

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:30:23.666650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:30:21.796842Z digest=sha256:d8d42d725281218616a5f3983195e1513d00a878cc3efc79a4434ce65c4c8b57

Observation b6b5022d-0d0a-4637-8871-0150f080cbc7 · outbound

This paper cites A note on the Turán function of even cycles.Proceedings of the American Mathematical Society, 140(11):3687–3692, 2012.

Generalized Tur\'an problem for directed cycles A note on the Turán function of even cycles.Proceedings of the American Mathematical Society, 140(11):3687–3692, 2012

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:30:23.435460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:30:21.936105Z digest=sha256:607d0104757cf6e423b99e91e9e5aba0f4717ac50d8ba83328f64dbe3a45109f

Observation e00d34fb-6c51-47e5-962b-94b0dded2ebf · outbound

This paper cites Sylvester.

Generalized Tur\'an problem for directed cycles Sylvester

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:30:23.224753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:30:22.045237Z digest=sha256:0c0ded9825f3f0733bb5111404a4a9c5f25307b94a4873fec7471eab98a15b3f

Observation 9ceb9830-0d9f-4c98-a918-6103214f3c34 · outbound

This paper cites On an extremal problem in graph theory (in Hungarian).Középiskolai Matem- atikai és Fizikai Lapok, 48:436–452, 1941.

Generalized Tur\'an problem for directed cycles On an extremal problem in graph theory (in Hungarian).Középiskolai Matem- atikai és Fizikai Lapok, 48:436–452, 1941

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:30:22.976728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:30:22.156741Z digest=sha256:93ca1dd9d2e98bcd2ae723dd1cdaf491694087804be455cb3e92b19aefc0c4ef

Observation d70928f3-b74a-4a23-ae57-d3c884f44116 · outbound

This paper cites Flagmatic software package, further developed by Jakub Sliačan, available at https://github.com/jsliacan/flagmatic.

Generalized Tur\'an problem for directed cycles Flagmatic software package, further developed by Jakub Sliačan, available at https://github.com/jsliacan/flagmatic

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:30:22.685084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:30:22.244789Z digest=sha256:140f5d73a14b176a46929ec56d7b98fee70f6238f2b0ff4446aa7a13e1b0362f

Pith citing papers

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