# User contributions

From Polymath Wiki

- 07:29, 13 January 2020 (diff | hist) . . (-222) . . Hadwiger-Nelson problem (→Best known results for the chromatic number in higher dimensions: fixed link to R4)
- 09:44, 8 January 2020 (diff | hist) . . (+328) . . Hadwiger-Nelson problem (→Best bounds for different shapes that can be k-colored: added table for disks)
- 09:42, 20 November 2019 (diff | hist) . . (+1) . . Hadwiger-Nelson problem (→Notable unit distance graphs)
- 09:41, 20 November 2019 (diff | hist) . . (+173) . . Hadwiger-Nelson problem (→Notable unit distance graphs: added 510 vertex record)
- 18:12, 25 October 2019 (diff | hist) . . (+132) . . Hadwiger-Nelson problem (→Best bounds for different shapes that can be k-colored: added k=3 lower bound)
- 18:34, 9 October 2019 (diff | hist) . . (+124) . . Hadwiger-Nelson problem (→Best bounds for different shapes that can be k-colored: added 1.25 for k=4)
- 19:14, 8 October 2019 (diff | hist) . . (+126) . . Hadwiger-Nelson problem (→Best bounds for different shapes that can be k-colored: improved lower bound for k=5: https://dustingmixon.wordpress.com/2019/08/05/polymath16-fourteenth-thread-automated-graph-minimization/#comment-24369)
- 12:28, 28 September 2019 (diff | hist) . . (0) . . m Hadwiger-Nelson problem (→Best bounds for different shapes that can be k-colored)
- 18:26, 25 September 2019 (diff | hist) . . (+131) . . Hadwiger-Nelson problem (→Best bounds for different shapes that can be k-colored: added upper bound for k=4)
- 18:43, 18 September 2019 (diff | hist) . . (+13) . . Hadwiger-Nelson problem (→Best bounds for different shapes that can be k-colored: added new best for k=4)
- 18:09, 12 September 2019 (diff | hist) . . (+204) . . Hadwiger-Nelson problem (→Best bounds for different shapes that can be k-colored: added bock citation)
- 18:55, 23 August 2019 (diff | hist) . . (+2) . . Hadwiger-Nelson problem (→Best bounds for different shapes that can be k-colored: added new bound for k=4 by Felix Bock)
- 19:59, 22 August 2019 (diff | hist) . . (+223) . . m Hadwiger-Nelson problem (→Best bounds for different shapes that can be k-colored)
- 19:57, 22 August 2019 (diff | hist) . . (+274) . . Hadwiger-Nelson problem (added bounds for shapes)
- 23:21, 28 July 2019 (diff | hist) . . (0) . . Hadwiger-Nelson problem (→Notable unit distance graphs)
- 23:20, 28 July 2019 (diff | hist) . . (+174) . . Hadwiger-Nelson problem (→Notable unit distance graphs: added 519)
- 21:26, 16 July 2019 (diff | hist) . . (+167) . . Hadwiger-Nelson problem (→Notable unit distance graphs: added 525 vertex record)
- 08:00, 8 July 2019 (diff | hist) . . (+280) . . Hadwiger-Nelson problem (→Notable unit distance graphs: added 529 vertex graphs)
- 06:58, 11 May 2019 (diff | hist) . . (+182) . . Hadwiger-Nelson problem (→Best known results for the chromatic number of spheres: added SV paper)
- 11:58, 7 May 2019 (diff | hist) . . (+154) . . Probabilistic formulation of Hadwiger-Nelson problem (→Bounds on p_d for 4-colourings: added strictness for 1/2) (current)
- 09:12, 24 April 2019 (diff | hist) . . (-6) . . m Probabilistic formulation of Hadwiger-Nelson problem (→Proposition 36: deleted acute)
- 19:38, 16 April 2019 (diff | hist) . . (+86) . . Hadwiger-Nelson problem (→Best known results for the chromatic number of spheres)
- 09:51, 25 March 2019 (diff | hist) . . (+1) . . Hadwiger-Nelson problem (→Best known results for the chromatic number of spheres: I've put a question mark after tetrahedron, because I've realized that I couldn't verify this and I keep on getting different numbers for the radius)
- 09:08, 25 March 2019 (diff | hist) . . (+29) . . Hadwiger-Nelson problem (→Best known results for the chromatic number of spheres)
- 08:45, 25 March 2019 (diff | hist) . . (+112) . . Hadwiger-Nelson problem (→Best known results for the chromatic number of spheres)
- 07:54, 25 March 2019 (diff | hist) . . (+213) . . Hadwiger-Nelson problem (→Best known results for the chromatic number of spheres: added range of \sqrt{(3-\sqrt 3)}/2)
- 20:38, 24 March 2019 (diff | hist) . .
**(+635)** . . Hadwiger-Nelson problem (added section about spheres based on Simmons paper https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S1446788700019315) - 13:46, 12 December 2018 (diff | hist) . . (+361) . . Probabilistic formulation of Hadwiger-Nelson problem (→Bounds on p_d for 4-colourings: fixed (\sqrt{6} \pm \sqrt{2})/2)
- 13:40, 12 December 2018 (diff | hist) . . (-86) . . Probabilistic formulation of Hadwiger-Nelson problem (Undo revision 10950 by Domotorp (talk))
- 13:37, 12 December 2018 (diff | hist) . . (+86) . . Probabilistic formulation of Hadwiger-Nelson problem (→Bounds on p_d for 4-colourings: improved (\sqrt{6} \pm \sqrt{2})/2)
- 09:41, 6 November 2018 (diff | hist) . . (+43) . . Probabilistic formulation of Hadwiger-Nelson problem (→Bounds on p_d for 4-colourings)
- 12:18, 24 August 2018 (diff | hist) . . (-55) . . Excluding bichromatic vertices (→Conjecture for using bichromatic vertices to bound CNP: added conjecture is true for lines) (current)
- 19:31, 7 August 2018 (diff | hist) . . (+1) . . m Probabilistic formulation of Hadwiger-Nelson problem (→Bounds on p_d for 4-colourings: fixed lemma 39 placing)
- 11:29, 6 August 2018 (diff | hist) . . (+6) . . m Probabilistic formulation of Hadwiger-Nelson problem (→Bounds on p_d for 4-colourings: added <=2 to general lower bound)
- 10:36, 6 August 2018 (diff | hist) . . (+113) . . Probabilistic formulation of Hadwiger-Nelson problem (→Bounds on p_d for 4-colourings: added >=SQRT(2))
- 10:31, 6 August 2018 (diff | hist) . .
**(+603)** . . Probabilistic formulation of Hadwiger-Nelson problem (→Proofs of bounds: added lemma 39, general lower bound 1/25) - 10:07, 6 August 2018 (diff | hist) . . (+147) . . Probabilistic formulation of Hadwiger-Nelson problem (→Bounds on p_d for 4-colourings: improved lower for 1/\sqrt{3})
- 09:47, 6 August 2018 (diff | hist) . . (+9) . . m Probabilistic formulation of Hadwiger-Nelson problem (→Bounds on p_d for 4-colourings: added lemma 15 to \sqrt{3} lower bound)
- 13:57, 19 July 2018 (diff | hist) . . (+14) . . m Hadwiger-Nelson problem (→Notable unit distance graphs: fixed link to >V_A \oplus V_A \oplus V_A)
- 13:05, 19 July 2018 (diff | hist) . . (-4) . . m Probabilistic formulation of Hadwiger-Nelson problem (→Bounds on p_d for 4-colourings: added 0.26 to \sqrt{3})
- 08:55, 14 July 2018 (diff | hist) . . (0) . . Probabilistic formulation of Hadwiger-Nelson problem (→Bounds on p_d for 4-colourings: fixed large d)
- 08:55, 14 July 2018 (diff | hist) . . (0) . . m Probabilistic formulation of Hadwiger-Nelson problem (→Proposition 36: also statement)
- 08:54, 14 July 2018 (diff | hist) . . (-14) . . Probabilistic formulation of Hadwiger-Nelson problem (→Proposition 36: fixed error at the end)
- 08:09, 11 July 2018 (diff | hist) . . (+15) . . m Probabilistic formulation of Hadwiger-Nelson problem (→Bounds on p_d for 4-colourings: fixed bound for large d)
- 08:08, 11 July 2018 (diff | hist) . . (+256) . . Probabilistic formulation of Hadwiger-Nelson problem (→Proposition 36: fixed last case error)
- 21:33, 10 July 2018 (diff | hist) . . (-27) . . Excluding bichromatic vertices (→Conjecture for using bichromatic vertices to bound CNP: improved previous)
- 21:29, 10 July 2018 (diff | hist) . .
**(+1,607)** . . Excluding bichromatic vertices (added conjecture) - 21:13, 10 July 2018 (diff | hist) . . (-267) . . Probabilistic formulation of Hadwiger-Nelson problem (→Bounds on p_d for 4-colourings: fixed incorrect lemma 2, cor 16 refs, updated upper bounds from prop 36)
- 21:01, 10 July 2018 (diff | hist) . . (+164) . . Probabilistic formulation of Hadwiger-Nelson problem (→Bounds on p_d for 4-colourings: added two more values from Prop 36)
- 20:55, 10 July 2018 (diff | hist) . .
**(+740)** . . Probabilistic formulation of Hadwiger-Nelson problem (→Proposition 36: added new construction with iteration) - 20:09, 10 July 2018 (diff | hist) . .
**(+1,348)** . . Probabilistic formulation of Hadwiger-Nelson problem (→Proposition 36: added iteration arguments) - 20:16, 7 July 2018 (diff | hist) . . (+121) . . Probabilistic formulation of Hadwiger-Nelson problem (→Lemma 38: added one line proof (also kept original))
- 20:11, 7 July 2018 (diff | hist) . . (+2) . . m Probabilistic formulation of Hadwiger-Nelson problem (→Lemma 37: added missing 3)
- 11:58, 5 July 2018 (diff | hist) . . (+1) . . Probabilistic formulation of Hadwiger-Nelson problem (→Proposition 36: fixed note 2)
- 21:11, 4 July 2018 (diff | hist) . . (+274) . . Probabilistic formulation of Hadwiger-Nelson problem (→Proposition 36: added note 2)
- 20:15, 4 July 2018 (diff | hist) . . (+65) . . Probabilistic formulation of Hadwiger-Nelson problem (→Proposition 36: fixed def of E and F as noted by Aubrey here https://dustingmixon.wordpress.com/2018/07/02/polymath16-ninth-thread-searching-for-a-6-coloring/#comment-5106)
- 21:35, 23 June 2018 (diff | hist) . . (+2) . . m Probabilistic formulation of Hadwiger-Nelson problem (→Proposition 36)
- 21:21, 23 June 2018 (diff | hist) . . (+83) . . Probabilistic formulation of Hadwiger-Nelson problem (→Proposition 36: lower bound on d)
- 21:00, 23 June 2018 (diff | hist) . . (+1) . . Probabilistic formulation of Hadwiger-Nelson problem (→Proposition 35: fixed BAD angle and \frac{1}{4} in first inequality)
- 20:52, 23 June 2018 (diff | hist) . . (+222) . . m Probabilistic formulation of Hadwiger-Nelson problem (→Proposition 36: fixed minor errors)
- 19:46, 19 June 2018 (diff | hist) . . (-1) . . m Probabilistic formulation of Hadwiger-Nelson problem (→Proposition 35: fixed typo (triangle -> rhombus))
- 20:59, 29 May 2018 (diff | hist) . . (+242) . . Hadwiger-Nelson problem (→Notable unit distance graphs: added G26 to bichromatic origin part)
- 20:50, 29 May 2018 (diff | hist) . . (+4) . . m Hadwiger-Nelson problem (→Notable unit distance graphs: fixed last two rows)
- 21:41, 9 May 2018 (diff | hist) . . (+249) . . Hadwiger-Nelson problem (→Blog, forums, and media: added index.hu)
- 07:40, 7 May 2018 (diff | hist) . . (0) . . m Probabilistic formulation of Hadwiger-Nelson problem (→Theorem 20: fixed typo)
- 13:59, 4 May 2018 (diff | hist) . . (+97) . . Probabilistic formulation of Hadwiger-Nelson problem (→Bounds on {\bf P}( \mathbf{c}(0) = \mathbf{c}(d) ) for 4-colourings: added \frac{\sqrt{5}-1}{2})
- 13:56, 4 May 2018 (diff | hist) . . (+244) . . Probabilistic formulation of Hadwiger-Nelson problem (→Proofs of bounds: added lower bound on \frac{\sqrt{5}-1}{2})
- 13:19, 4 May 2018 (diff | hist) . . (-31) . . m Probabilistic formulation of Hadwiger-Nelson problem (→Bounds on {\bf P}( \mathbf{c}(0) = \mathbf{c}(d) ) for 4-colourings)
- 13:15, 4 May 2018 (diff | hist) . . (+65) . . Probabilistic formulation of Hadwiger-Nelson problem (→Bounds on {\bf P}( \mathbf{c}(0) = \mathbf{c}(d) ) for 4-colourings: added computer-verified to relevant places)
- 13:10, 4 May 2018 (diff | hist) . . (-4) . . Probabilistic formulation of Hadwiger-Nelson problem (→Bounds on {\bf P}( \mathbf{c}(0) = \mathbf{c}(d) ) for 4-colourings: renamed separation to distance)
- 09:01, 4 May 2018 (diff | hist) . . (+138) . . Probabilistic formulation of Hadwiger-Nelson problem
- 20:09, 3 May 2018 (diff | hist) . . (+122) . . Hadwiger-Nelson problem (→Virtual edge: added warning)
- 09:25, 3 May 2018 (diff | hist) . . (+153) . . Hadwiger-Nelson problem (→Bibliography: added Bukh)
- 18:58, 5 February 2016 (diff | hist) . . (+160) . . The Erdos-Rado sunflower lemma (→Variants and notation)
- 18:54, 5 February 2016 (diff | hist) . . (+180) . . The Erdos-Rado sunflower lemma (→Bibliography: added alon-shpilka-umans)
- 16:15, 5 February 2016 (diff | hist) . . (+185) . . The Erdos-Rado sunflower lemma (→Variants and notation: cleared up DES part)
- 15:56, 5 February 2016 (diff | hist) . .
**(+1,364)** . . The Erdos-Rado sunflower lemma (→Variants and notation: added weak sunflower section) - 12:56, 5 February 2016 (diff | hist) . . (-96) . . m The Erdos-Rado sunflower lemma (→Bibliography: fixed deltas)
- 12:53, 5 February 2016 (diff | hist) . . (+429) . . The Erdos-Rado sunflower lemma (→Bibliography: added links)
- 12:44, 5 February 2016 (diff | hist) . . (+253) . . The Erdos-Rado sunflower lemma (→Bibliography: added Abbott-Exoo II and Axenovich et al)
- 14:37, 29 November 2015 (diff | hist) . . (+111) . . m The Erdos-Rado sunflower lemma (→Small values: changed style of top row of table)
- 00:33, 29 November 2015 (diff | hist) . .
**(+2,095)** . . The Erdos-Rado sunflower lemma (added small values) - 02:05, 28 November 2015 (diff | hist) . . (-1) . . m The Erdos-Rado sunflower lemma (→Bibliography)
- 02:05, 28 November 2015 (diff | hist) . . (+218) . . The Erdos-Rado sunflower lemma (→Bibliography: added two more Abbott et al papers)
- 21:42, 4 November 2015 (diff | hist) . . (+41) . . The Erdos-Rado sunflower lemma (→Bibliography: added link to Erdos-Rado)