Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T16:38:27.737904Z
Paper Citation Record · LEDGER
New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems
As of 18 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2509.07750.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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
Reference resolution
42 of 42 outbound references displayed
- verified exact2
- verified fuzzy34
- unresolved6
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External citation measurements
No source-named external measurement is stored.
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
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- raw_fallback, observed 2026-08-15T16:38:29.366793Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+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
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- raw_fallback, observed 2026-08-15T16:38:29.326587Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+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
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- raw_fallback, observed 2026-08-15T16:38:29.227451Z
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+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
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- 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
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- raw_fallback, observed 2026-08-15T16:38:29.018176Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
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- no resolver link, observed 2026-08-15T16:38:27.406779Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
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- raw_fallback, observed 2026-08-15T16:38:29.001922Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
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- raw_fallback, observed 2026-08-15T16:38:28.964317Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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 2026-08-18T06:34:40.430872+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+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
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- raw_fallback, observed 2026-08-15T16:38:28.687641Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
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- raw_fallback, observed 2026-08-15T16:38:28.574795Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
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- raw_fallback, observed 2026-08-15T16:38:28.521872Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
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- no resolver link, observed 2026-08-15T16:38:27.515984Z
Source-reported events for the cited work
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
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- raw_fallback, observed 2026-08-15T16:38:28.498296Z
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
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- raw_fallback, observed 2026-08-15T16:38:28.474842Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
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- raw_fallback, observed 2026-08-15T16:38:28.441476Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
Source-reported events for the cited work
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
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- raw_fallback, observed 2026-08-15T16:38:28.373061Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
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- raw_fallback, observed 2026-08-15T16:38:28.321693Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
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- raw_fallback, observed 2026-08-15T16:38:28.302075Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+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
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- raw_fallback, observed 2026-08-15T16:38:28.031447Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
No inbound Pith citation observations are available.