拉姆齐定理 (Chinese Wikipedia)

Analysis of information sources in references of the Wikipedia article "拉姆齐定理" in Chinese language version.

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8doi.org

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RangeVoting.org

Smith, Warren D.; Exoo, Geoff. Partial Answer to Puzzle #27: A Ramsey-like quantity [謎題27的部分解：某拉姆齊類數]. [2020-06-02]. （原始内容存档于2021-11-26）（英语）.

ams.org

Dushnik, Ben; Miller, E. W. Partially ordered sets [偏序集]. American Journal of Mathematics. 1941, 63 (3): 600–610. JSTOR 2371374. MR 0004862. doi:10.2307/2371374. hdl:10338.dmlcz/100377  （英语）. 尤其見定理5.22與5.23。

anu.edu.au

users.cecs.anu.edu.au

Brendan D. McKay, Stanislaw P. Radziszowski. R(4,5) = 25 (PDF). Journal of Graph Theory. May 1995, 19 (3): 309–322 [2019-01-05]. doi:10.1002/jgt.3190190304. （原始内容存档 (PDF)于2021-02-25）.

archive.org

Dushnik, Ben; Miller, E. W. Partially ordered sets [偏序集]. American Journal of Mathematics. 1941, 63 (3): 600–610. JSTOR 2371374. MR 0004862. doi:10.2307/2371374. hdl:10338.dmlcz/100377  （英语）. 尤其見定理5.22與5.23。
Diestel, Reinhard. Chapter 8, Infinite Graphs [第8章：無窮圖]. Graph Theory [圖論] 4. Heidelberg: Springer-Verlag. 2010: 209–2010. ISBN 978-3-662-53621-6 （英语）.

arxiv.org

Fiz Pontiveros, Gonzalo; Griffiths, Simon; Morris, Robert. The Triangle-Free Process and the Ramsey Number R(3, t) [無三角形過程與拉姆齊數R(3, t)]. Memoirs of the American Mathematical Society. 2020, 263 (1274) [2013]. arXiv:1302.6279 . doi:10.1090/memo/1274 （英语）.
Bohman, Tom; Keevash, Peter. Dynamic concentration of the triangle-free process [無三角形過程的動力集中性]. The Seventh European Conference on Combinatorics, Graph Theory and Applications. CRM Series (Pisa: Edizioni della Normale). 2013, 16. arXiv:1302.5963 . doi:10.1007/978-88-7642-475-5_78 （英语）.
Neiman, David; Mackey, John; Heule, Marijn. Tighter Bounds on Directed Ramsey Number R(7) [有向拉姆齊數R(7)較緊的界]. 2020-11-01. arXiv:2011.00683  [math.CO] （英语）.

cam.ac.uk

dpmms.cam.ac.uk

I. B. Leader (Lecture notes taken by P. A. Russell). Ramsey Theory [拉姆齊理論] (PDF). [2021-12-20]. （原始内容 (PDF)存档于2022-01-21）（英语）.

combinatorics.org

Radziszowski, Stanisław. Small Ramsey Numbers [小拉姆齊數]. The Electronic Journal of Combinatorics. 2021-01-15. 1994-08-01 [2021-12-29]. doi:10.37236/21. （原始内容存档于2022-04-07）（英语）.
Exoo, Geoffrey; Tatarevic, Milos. New Lower Bounds for 28 Classical Ramsey Numbers. The Electronic Journal of Combinatorics. 2015, 22 (3): 3 [2018-09-02]. （原始内容存档于2021-02-28）.

doi.org

dx.doi.org

有些作者如（Brualdi 2010）及（Harary 1972）要求 $k,l>1$ ，以免對單一頂點（從而無邊）的圖的邊染色。亦有（Gross 2008）和（Erdős & Szekeres 1935）等作者將兩種色換成有邊與否，從而定理敍述變成：在足夠大的簡單圖中，必有 $r$ 團或 $s$ 獨立集。此形式下或可更自然地考慮單頂點的圖。 Brualdi, Richard A., Introductory Combinatorics 5th, Prentice-Hall: 77–82, 2010, ISBN 978-0-13-602040-0 Harary, Frank, Graph Theory, Addison-Wesley: 16–17, 1972, ISBN 0-201-02787-9 Gross, Jonathan L., Combinatorial Methods with Computer Applications, CRC Press: 458, 2008, ISBN 978-1-58488-743-0 Erdős, Paul; Szekeres, George, A combinatorial problem in geometry (PDF), Compositio Mathematica, 1935, 2: 463–470 [2023-11-06], ISBN 978-0-8176-4841-1, doi:10.1007/978-0-8176-4842-8_3, （原始内容存档 (PDF)于2023-11-06） .
Ramsey, F. P. On a Problem of Formal Logic [論形式邏輯的一個問題]. Proceedings of the London Mathematical Society. 1930, s2–30 (1): 264–286. doi:10.1112/plms/s2-30.1.264 （英语）.
Liu, Andy; Leigh, Robert Barrington (编). Hungarian Problem Book IV: Based on the Eötvös Competitions 1947–1963 [匈牙利問題集四：選自厄特沃什比賽1947－1963]. 2011: 1. ISBN 9780883858318. doi:10.5948/UPO9781614444053 （英语）.
Radziszowski, Stanisław. Small Ramsey Numbers [小拉姆齊數]. The Electronic Journal of Combinatorics. 2021-01-15. 1994-08-01 [2021-12-29]. doi:10.37236/21. （原始内容存档于2022-04-07）（英语）.
Brendan D. McKay, Stanislaw P. Radziszowski. R(4,5) = 25 (PDF). Journal of Graph Theory. May 1995, 19 (3): 309–322 [2019-01-05]. doi:10.1002/jgt.3190190304. （原始内容存档 (PDF)于2021-02-25）.
Fiz Pontiveros, Gonzalo; Griffiths, Simon; Morris, Robert. The Triangle-Free Process and the Ramsey Number R(3, t) [無三角形過程與拉姆齊數R(3, t)]. Memoirs of the American Mathematical Society. 2020, 263 (1274) [2013]. arXiv:1302.6279 . doi:10.1090/memo/1274 （英语）.
Bohman, Tom; Keevash, Peter. Dynamic concentration of the triangle-free process [無三角形過程的動力集中性]. The Seventh European Conference on Combinatorics, Graph Theory and Applications. CRM Series (Pisa: Edizioni della Normale). 2013, 16. arXiv:1302.5963 . doi:10.1007/978-88-7642-475-5_78 （英语）.
Dushnik, Ben; Miller, E. W. Partially ordered sets [偏序集]. American Journal of Mathematics. 1941, 63 (3): 600–610. JSTOR 2371374. MR 0004862. doi:10.2307/2371374. hdl:10338.dmlcz/100377  （英语）. 尤其見定理5.22與5.23。

google.co.uk

Gleason, A. M.; Greenwood, R. E.; Kelly, L. M. (编). The William Lowell Putnam Mathematical Competition Problems and Solutions: 1938–1964 [威廉·羅威爾·普特南數學競賽問題和解答：1938－1964]. Mathematical Association of America. 1980: 38. ISBN 9780883854624 （英语）.
Liu, Andy; Leigh, Robert Barrington (编). Hungarian Problem Book IV: Based on the Eötvös Competitions 1947–1963 [匈牙利問題集四：選自厄特沃什比賽1947－1963]. 2011: 1. ISBN 9780883858318. doi:10.5948/UPO9781614444053 （英语）.

handle.net

hdl.handle.net

Dushnik, Ben; Miller, E. W. Partially ordered sets [偏序集]. American Journal of Mathematics. 1941, 63 (3): 600–610. JSTOR 2371374. MR 0004862. doi:10.2307/2371374. hdl:10338.dmlcz/100377  （英语）. 尤其見定理5.22與5.23。

jstor.org

Dushnik, Ben; Miller, E. W. Partially ordered sets [偏序集]. American Journal of Mathematics. 1941, 63 (3): 600–610. JSTOR 2371374. MR 0004862. doi:10.2307/2371374. hdl:10338.dmlcz/100377  （英语）. 尤其見定理5.22與5.23。

numdam.org

有些作者如（Brualdi 2010）及（Harary 1972）要求 $k,l>1$ ，以免對單一頂點（從而無邊）的圖的邊染色。亦有（Gross 2008）和（Erdős & Szekeres 1935）等作者將兩種色換成有邊與否，從而定理敍述變成：在足夠大的簡單圖中，必有 $r$ 團或 $s$ 獨立集。此形式下或可更自然地考慮單頂點的圖。 Brualdi, Richard A., Introductory Combinatorics 5th, Prentice-Hall: 77–82, 2010, ISBN 978-0-13-602040-0 Harary, Frank, Graph Theory, Addison-Wesley: 16–17, 1972, ISBN 0-201-02787-9 Gross, Jonathan L., Combinatorial Methods with Computer Applications, CRC Press: 458, 2008, ISBN 978-1-58488-743-0 Erdős, Paul; Szekeres, George, A combinatorial problem in geometry (PDF), Compositio Mathematica, 1935, 2: 463–470 [2023-11-06], ISBN 978-0-8176-4841-1, doi:10.1007/978-0-8176-4842-8_3, （原始内容存档 (PDF)于2023-11-06） .

ox.ac.uk

people.maths.ox.ac.uk

Martin Gould. Ramsey Theory [拉姆齊理論] (PDF). [2021-12-20]. （原始内容 (PDF)存档于2021-11-26）（英语）.

web.archive.org

有些作者如（Brualdi 2010）及（Harary 1972）要求 $k,l>1$ ，以免對單一頂點（從而無邊）的圖的邊染色。亦有（Gross 2008）和（Erdős & Szekeres 1935）等作者將兩種色換成有邊與否，從而定理敍述變成：在足夠大的簡單圖中，必有 $r$ 團或 $s$ 獨立集。此形式下或可更自然地考慮單頂點的圖。 Brualdi, Richard A., Introductory Combinatorics 5th, Prentice-Hall: 77–82, 2010, ISBN 978-0-13-602040-0 Harary, Frank, Graph Theory, Addison-Wesley: 16–17, 1972, ISBN 0-201-02787-9 Gross, Jonathan L., Combinatorial Methods with Computer Applications, CRC Press: 458, 2008, ISBN 978-1-58488-743-0 Erdős, Paul; Szekeres, George, A combinatorial problem in geometry (PDF), Compositio Mathematica, 1935, 2: 463–470 [2023-11-06], ISBN 978-0-8176-4841-1, doi:10.1007/978-0-8176-4842-8_3, （原始内容存档 (PDF)于2023-11-06） .
Radziszowski, Stanisław. Small Ramsey Numbers [小拉姆齊數]. The Electronic Journal of Combinatorics. 2021-01-15. 1994-08-01 [2021-12-29]. doi:10.37236/21. （原始内容存档于2022-04-07）（英语）.
Brendan D. McKay, Stanislaw P. Radziszowski. R(4,5) = 25 (PDF). Journal of Graph Theory. May 1995, 19 (3): 309–322 [2019-01-05]. doi:10.1002/jgt.3190190304. （原始内容存档 (PDF)于2021-02-25）.
Exoo, Geoffrey; Tatarevic, Milos. New Lower Bounds for 28 Classical Ramsey Numbers. The Electronic Journal of Combinatorics. 2015, 22 (3): 3 [2018-09-02]. （原始内容存档于2021-02-28）.
Martin Gould. Ramsey Theory [拉姆齊理論] (PDF). [2021-12-20]. （原始内容 (PDF)存档于2021-11-26）（英语）.
I. B. Leader (Lecture notes taken by P. A. Russell). Ramsey Theory [拉姆齊理論] (PDF). [2021-12-20]. （原始内容 (PDF)存档于2022-01-21）（英语）.
Smith, Warren D.; Exoo, Geoff. Partial Answer to Puzzle #27: A Ramsey-like quantity [謎題27的部分解：某拉姆齊類數]. [2020-06-02]. （原始内容存档于2021-11-26）（英语）.