Paper Citation Record · LEDGER

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems

As of 19 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2509.07750.

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pith.paper-citation-record.v1
2509.07750 v1

Coverage vector

measured 42 of 42 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T16:38:27.737904Z

measured 42 of 42 standing notices

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

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

42 of 42 outbound references displayed

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Outbound references

Observation 63165d86-e9ff-4795-aa9c-274dd80e261e · outbound

This paper cites Sidon sets in groups and induced subgraphs of cayley graphs.European Journal of Combinatorics, 6(2):101–114, 1985.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Sidon sets in groups and induced subgraphs of cayley graphs.European Journal of Combinatorics, 6(2):101–114, 1985

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:29.366793Z

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Observation 3d903bf9-3fdf-4f78-a0df-bf0b9b304887 · outbound

This paper cites Chapman and Hall/CRC, 2018.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Chapman and Hall/CRC, 2018

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:29.348227Z

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

Observation 965b34a7-0916-49b3-8497-cbc2faa5d360 · outbound

This paper cites The exceptional set for goldbach’s problem in short intervals.London Mathematical Society Lecture Note Series, pages 1–54, 1996.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems The exceptional set for goldbach’s problem in short intervals.London Mathematical Society Lecture Note Series, pages 1–54, 1996

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:29.326587Z

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

Observation 70727508-51c5-4cd3-9560-cefd819ac927 · outbound

This paper cites Minimal regular graphs of girths eight and twelve.Canadian Journal of Mathematics, 18:1091–1094, 1966.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Minimal regular graphs of girths eight and twelve.Canadian Journal of Mathematics, 18:1091–1094, 1966

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:29.227451Z

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Observation 71cb8dba-bbe6-4bbe-97dd-a5c53cdc8d7e · outbound

This paper cites Optimal linear perfect hash families.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Optimal linear perfect hash families

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:29.192514Z

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

Observation 055e8c10-3163-4ed5-b6b8-5bfe79650819 · outbound

This paper cites Cycles of even length in graphs.Journal of Combinatorial Theory, Series B, 16(2):97–105, 1974.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Cycles of even length in graphs.Journal of Combinatorial Theory, Series B, 16(2):97–105, 1974

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:29.171130Z

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

Observation b973e4c8-3934-4017-94b7-8da21e2cbe90 · outbound

This paper cites Theorems in the additive theory of numbers.Contract, 1960.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Theorems in the additive theory of numbers.Contract, 1960

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:29.148332Z

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Observation f3f74317-a420-43e2-8358-e44e52842276 · outbound

This paper cites Personal communication, 2025.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Personal communication, 2025

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:29.081530Z

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Observation 9b9fb028-cac4-4167-9d72-2b6d0e5be3a2 · outbound

This paper cites Improved upper bounds on even-cycle creating hamilton paths.Discrete Mathematics, 347(10):114107, 2024.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Improved upper bounds on even-cycle creating hamilton paths.Discrete Mathematics, 347(10):114107, 2024

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:29.047153Z

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

Observation e3401359-b633-47c6-a0ab-fc00f8db6124 · outbound

This paper cites A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations.The Annals of Mathematical Statistics, pages 493–507, 1952.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations.The Annals of Mathematical Statistics, pages 493–507, 1952

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T16:38:27.260451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a027c50a-b852-4e43-b818-f5ccc9fdc9a8 · outbound

This paper cites Path separation by short cycles.Journal of Graph Theory, 85(1):107–114, 2017.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Path separation by short cycles.Journal of Graph Theory, 85(1):107–114, 2017

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:29.018176Z

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Observation ebd865a3-8c06-41bf-8bfc-59c5e5b706ef · outbound

This paper cites Sidon sets and $C_4$-saturated graphs.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Sidon sets and $C_4$-saturated graphs

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T16:38:27.406779Z

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Observation d4a17c3a-c4b1-4d42-99e6-dccb313adbae · outbound

This paper cites Groups with unique product structures.Journal of Algebra, 146(1):205–209, 1992.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Groups with unique product structures.Journal of Algebra, 146(1):205–209, 1992

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:29.001922Z

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Observation 207d05be-bcf3-480b-acce-2e2050f6e78d · outbound

This paper cites an unresolved cited work.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:38:28.983840Z

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Observation 71301aae-de7f-4685-97cc-4230e6b0a0a0 · outbound

This paper cites Compactness results in extremal graph theory.Combinatorica, 2(3):275–288, 1982.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Compactness results in extremal graph theory.Combinatorica, 2(3):275–288, 1982

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.964317Z

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Observation 1e28ab45-45a1-48d8-bb40-136d9548b0d9 · outbound

This paper cites On a problem of sidon in additive number theory, and on some related problems.J.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems On a problem of sidon in additive number theory, and on some related problems.J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.893296Z

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Observation 3a429244-7c8c-449a-853c-31e928ae3091 · outbound

This paper cites an unresolved cited work.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:38:28.842041Z

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Observation c8c0ba61-dbfd-4972-b70b-f88de0acefbd · outbound

This paper cites On the number of edges of quadrilateral-free graphs.Journal of Combinatorial Theory, Series B, 68(1):1–6, 1996.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems On the number of edges of quadrilateral-free graphs.Journal of Combinatorial Theory, Series B, 68(1):1–6, 1996

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.822262Z

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Observation 67a7abcc-47c1-48fe-9774-90b5f84f838d · outbound

This paper cites Springer Science & Business Media, 2001.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Springer Science & Business Media, 2001

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.802186Z

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 3c496138-d2b2-4f18-831c-6877b2c6e256 · outbound

This paper cites Embedding graphs in cayley graphs.Graphs and Combinatorics, 3(1):39–43, 1987.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Embedding graphs in cayley graphs.Graphs and Combinatorics, 3(1):39–43, 1987

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.771758Z

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

Observation 626c40bc-cc88-4c7b-811e-fd4461c76e1b · outbound

This paper cites New bounds on even cycle creating Hamil- tonian paths using expander graphs.Combinatorica, 40(3):435–454, 2020.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems New bounds on even cycle creating Hamil- tonian paths using expander graphs.Combinatorica, 40(3):435–454, 2020

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.687641Z

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Observation e3652501-1c46-41da-beed-37b875f91dff · outbound

This paper cites On the diameter of permutation groups.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems On the diameter of permutation groups

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.664740Z

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

Observation 3675937b-23a5-47f5-9dec-b5f3c0671fc5 · outbound

This paper cites Extremal digraphs avoiding an orientation of C4.Discrete Mathematics, 343(5):111827, 2020.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Extremal digraphs avoiding an orientation of C4.Discrete Mathematics, 343(5):111827, 2020

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.645559Z

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Observation b82dd218-0cf9-452b-bb13-74375e5c29ea · outbound

This paper cites Extremal digraphs avoiding distinct walks of length 3 with the same endpoints.Discrete Mathematics, 345(10):112996, 2022.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Extremal digraphs avoiding distinct walks of length 3 with the same endpoints.Discrete Mathematics, 345(10):112996, 2022

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.624364Z

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Observation 387230ac-f80d-48b0-8885-5fb9ad99c6b3 · outbound

This paper cites Extremal digraphs containing at most $t$ paths of length 2 with the same endpoints.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Extremal digraphs containing at most $t$ paths of length 2 with the same endpoints

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:38:27.987199Z

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Observation 2ea37027-2349-41bc-a1da-2bc5f2a33dde · outbound

This paper cites A tur´ an problem on digraphs avoiding distinct walks of a given length with the same endpoints.Discrete Mathematics, 342(6):1703–1717, 2019.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems A tur´ an problem on digraphs avoiding distinct walks of a given length with the same endpoints.Discrete Mathematics, 342(6):1703–1717, 2019

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.574795Z

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Observation 275a0af6-f650-44ee-be0a-2692be7c6a1c · outbound

This paper cites The structure and density ofk-product-free sets in the free semigroup and group.Journal of the London Mathematical Society, 111(1):e70046, 2025.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems The structure and density ofk-product-free sets in the free semigroup and group.Journal of the London Mathematical Society, 111(1):e70046, 2025

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.521872Z

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Observation f4cfcb3d-22f4-4f0e-8450-371235451ee7 · outbound

This paper cites Sharp hypercontractivity for symmetric groups and its applications.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Sharp hypercontractivity for symmetric groups and its applications

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T16:38:27.515984Z

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Unavailable: canonical work link unavailable.

Observation 49279941-eacc-455e-a0a3-95263ffd68d1 · outbound

This paper cites On the largest product-free subsets of the alternating groups.Inventiones Mathematicae, 237(3):1329–1375, 2024.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems On the largest product-free subsets of the alternating groups.Inventiones Mathematicae, 237(3):1329–1375, 2024

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.498296Z

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Observation 917dcaca-09d5-4787-baa7-2d6d714dc6eb · outbound

This paper cites Cycles of given length in oriented graphs.Journal of Combinatorial Theory, Series B, 100(3):251–264, 2010.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Cycles of given length in oriented graphs.Journal of Combinatorial Theory, Series B, 100(3):251–264, 2010

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.474842Z

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Observation 3681c0df-2c96-4fec-b120-011f81f4fe47 · outbound

This paper cites Determination of two vectors from the sum.Journal of Com- binatorial Theory, 6(4):402–407, 1969.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Determination of two vectors from the sum.Journal of Com- binatorial Theory, 6(4):402–407, 1969

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.441476Z

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Observation 861dcb84-6229-4912-a003-5acd661ff6a2 · outbound

This paper cites Ramanujan graphs.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Ramanujan graphs

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-15T16:38:27.679428Z

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Unavailable: canonical work link unavailable.

Observation e8b3cfb1-5ed0-4654-9954-c1912441ec20 · outbound

This paper cites On the number of spanning trees ofK n andK m,n.Discrete Mathematics, 84(2):205–207, 1990.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems On the number of spanning trees ofK n andK m,n.Discrete Mathematics, 84(2):205–207, 1990

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.373061Z

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Observation e59ab17c-7226-488f-b491-755d2496603b · outbound

This paper cites A Complete Annotated Bibliography of Work Related to Sidon Sequences.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems A Complete Annotated Bibliography of Work Related to Sidon Sequences

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:38:27.935695Z

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Observation 8affa30a-1e2d-41b6-a3a3-8926ff7e316e · outbound

This paper cites Nonabelian sets with distinctk-sums.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Nonabelian sets with distinctk-sums

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.321693Z

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Observation 67a9cefe-ac4f-4689-9885-533caea3263f · outbound

This paper cites Ein satz ¨ uber trigonometrische polynome und seine anwendung in der theorie der fourier-reihen.Mathematische Annalen, 106(1):536–539, 1932.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Ein satz ¨ uber trigonometrische polynome und seine anwendung in der theorie der fourier-reihen.Mathematische Annalen, 106(1):536–539, 1932

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.302075Z

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Observation f889ad1d-8056-4047-a0e6-0de984728f6a · outbound

This paper cites Even cycle creating paths.Journal of Graph Theory, 93(3):350– 362, 2020.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Even cycle creating paths.Journal of Graph Theory, 93(3):350– 362, 2020

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.280538Z

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

Observation 7f1c3349-70a4-44d4-924d-975a203cd1ec · outbound

This paper cites Sidon sets and graphs without 4-cycles.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Sidon sets and graphs without 4-cycles

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.257340Z

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

Observation e9ab272a-f8ae-4e68-a65e-75409b64ccf3 · outbound

This paper cites Circuits and trees in oriented linear graphs.Classic papers in combinatorics, pages 149–163, 1987.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems Circuits and trees in oriented linear graphs.Classic papers in combinatorics, pages 149–163, 1987

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.229171Z

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

Observation 8139e6ff-119e-4098-8e9f-533e82df66a3 · outbound

This paper cites The Erd˝ os–Simonovits compactness conjecture needs more assumptions.https://n.ethz.ch/ ~ywigderson/math/static/Compactness.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems The Erd˝ os–Simonovits compactness conjecture needs more assumptions.https://n.ethz.ch/ ~ywigderson/math/static/Compactness

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.163375Z

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

Observation b17d34e1-1612-4736-8e35-3949448e2b95 · outbound

This paper cites On the 0–1 matrices whose squares are 0–1 matrices.Linear Algebra and its Applications, 432(11):2909–2924, 2010.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems On the 0–1 matrices whose squares are 0–1 matrices.Linear Algebra and its Applications, 432(11):2909–2924, 2010

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.049384Z

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

Observation 34ca6fb7-c3bd-458a-9949-1974b0052623 · outbound

This paper cites The tur´ an number of directed paths and oriented cycles.Graphs and Combinatorics, 39(3):47, 2023.

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems The tur´ an number of directed paths and oriented cycles.Graphs and Combinatorics, 39(3):47, 2023

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:38:28.031447Z

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

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