Aaron Robertson - Author Profile

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Robertson, Aaron

Author ID:	robertson.aaron
Published as:	Robertson, Aaron
Homepage:	http://math.colgate.edu/~aaron/
External Links:	MGP · Wikidata · IdRef

Documents Indexed:	41 Publications since 1998, including 3 Books and 2 Additional arXiv Preprints
	6 Contributions as Editor
Co-Authors:	34 Co-Authors with 32 Joint Publications
	1,833 Co-Co-Authors

all top 5

Co-Authors

13	single-authored
14	Landman, Bruce M.
6	Nathanson, Melvyn Bernard
6	Nešetřil, Jaroslav
5	Zeilberger, Doron
4	Luca, Florian
4	Nowakowski, Richard Joseph
3	Saracino, Dan
2	Myers, Kellen
2	Pomerance, Carl Bernard
2	Schaal, Daniel J.
1	Aberty, M.
1	Au, Yu-Hin
1	Brehm, K.
1	Brown, Thomas Craig
1	Cipolli, William III
1	Cremin, Caitlin
1	Culver, Clay
1	Daniel, Will
1	Dascălu, Maria
1	Deutsch, Emeric
1	Ekhad, Shalosh B. (computer)
1	Frantzikinakis, Nikos
1	Golubev, A. E.
1	Gour, Sankalp
1	Govil, C.
1	Johanson, R.
1	Kadiri, G. El
1	Keyburn, S.
1	Kosek, Wojciech
1	Kung, Joseph P. S.
1	Le Saulnier, Tim
1	Mansour, Toufik
1	Mao, Yaping
1	Norman, Alfred Lorn
1	Ozeki, Kenta
1	Parrilo, Pablo A.
1	Roy, Bidisha
1	Sabo, Dusty E.
1	Sanghai, J.
1	Sarkar, Subha
1	Schieck, J.
1	Shallit, Jeffrey Outlaw
1	Sivakumaran, Y.
1	Tillmanns, C.
1	Tkachev, S. B.
1	Wang, Zhao
1	Wilf, Herbert S.
1	Xiang, Quer
1	Zahradnic, F.

all top 5

Serials

7	Advances in Applied Mathematics
5	Journal of Combinatorial Theory. Series A
5	The Electronic Journal of Combinatorics
5	Integers
4	De Gruyter Proceedings in Mathematics
2	Discrete Mathematics
2	Annals of Combinatorics
2	Student Mathematical Library
1	Rocky Mountain Journal of Mathematics
1	European Journal of Combinatorics
1	SIAM Journal on Discrete Mathematics
1	Computational Mathematics and Modeling
1	Experimental Mathematics
1	Computational Economics
1	Séminaire Lotharingien de Combinatoire
1	Discrete Mathematics and Theoretical Computer Science. DMTCS
1	Journal of Combinatorics and Number Theory
1	Journal of Combinatorics
1	Discrete Mathematics and its Applications

all top 5

Fields

40	Combinatorics (05-XX)
16	Number theory (11-XX)
5	General and overarching topics; collections (00-XX)
4	Computer science (68-XX)
3	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1	History and biography (01-XX)
1	Mathematical logic and foundations (03-XX)
1	Systems theory; control (93-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

30 Publications have been cited 215 times in 144 Documents	Cited by ▼	Year ▼
Ramsey theory on the integers. Zbl 1035.05096 Landman, Bruce M.; Robertson, Aaron	29	2004
Refined restricted permutations. Zbl 1017.05014 Robertson, Aaron; Saracino, Dan; Zeilberger, Doron	26	2002
Ramsey theory on the integers. 2nd ed. Zbl 1307.05218 Landman, Bruce M.; Robertson, Aaron	22	2014
A 2-coloring of \([1, N]\) can have \((1/22) N^2+O(N)\) monochromatic Schur triples, but not less. Zbl 0894.05052 Robertson, Aaron; Zeilberger, Doron	17	1998
Permutation patterns and continued fractions. Zbl 0937.05004 Robertson, Aaron; Wilf, Herbert S.; Zeilberger, Doron	15	1999
Off-diagonal generalized Schur numbers. Zbl 0973.11024 Robertson, Aaron; Schaal, Daniel	13	2001
Refined restricted involutions. Zbl 1110.05003 Deutsch, Emeric; Robertson, Aaron; Saracino, Dan	11	2007
Restricted permutations from Catalan to Fine and back. Zbl 1064.05003 Robertson, Aaron	8	2003
Permutations containing and avoiding \(123\) and \(132\) patterns. Zbl 0930.05003 Robertson, Aaron	7	1999
Difference Ramsey numbers and Issai numbers. Zbl 0957.05076 Robertson, Aaron	7	2000
Some new exact van der Waerden numbers. Zbl 1110.05097 Landman, Bruce; Robertson, Aaron; Culver, Clay	6	2005
On the asymptotic minimum number of monochromatic 3-term arithmetic progressions. Zbl 1210.05172 Parrilo, Pablo A.; Robertson, Aaron; Saracino, Dan	6	2008
Some two color, four variable Rado numbers. Zbl 1178.05095 Robertson, Aaron; Myers, Kellen	6	2008
Bounds on some van der Waerden numbers. Zbl 1169.05047 Brown, Tom; Landman, Bruce M.; Robertson, Aaron	6	2008
Refined restricted permutations avoiding subsets of patterns of length three. Zbl 1017.05011 Mansour, Toufik; Robertson, Aaron	5	2002
Fundamentals of Ramsey theory. Zbl 1482.05001 Robertson, Aaron	5	2021
Arithmetic progressions, quasi progressions, and Gallai-Ramsey colorings. Zbl 1508.05169 Mao, Yaping; Ozeki, Kenta; Robertson, Aaron; Wang, Zhao	4	2023
Two color off-diagonal Rado-type numbers. Zbl 1157.05336 Myers, Kellen; Robertson, Aaron	3	2007
On generalized van der Waerden triples. Zbl 1071.05070 Landman, Bruce; Robertson, Aaron	3	2002
Avoiding monochromatic sequences with special gaps. Zbl 1141.05078 Landman, Bruce M.; Robertson, Aaron	3	2007
Zero-sum generalized Schur numbers. Zbl 1422.05101 Robertson, Aaron	3	2018
Permutations restricted by two distinct patterns of length three. Zbl 0992.05005 Robertson, Aaron	2	2001
Zero-sum analogues of van der Waerden’s theorem on arithmetic progressions. Zbl 1472.11080 Robertson, Aaron	2	2020
New lower bounds for some multicolored Ramsey numbers. Zbl 0913.05091 Robertson, Aaron	1	1999
New lower bound formulas for multicolored Ramsey numbers. Zbl 0990.05126 Robertson, Aaron	1	2002
Can consumer software selection code for digital cameras improve consumer performance? Zbl 1136.91510 Norman, A. L.; Aberty, M.; Brehm, K.; Drake, M.; Gour, S.; Govil, C.; Gu, B.; Hart, J.; Kadiri, G. El; Ke, J.; Keyburn, S.; Kulkarni, M.; Mehta, N.; Robertson, A.; Sanghai, J.; Shah, V.; Schieck, J.; Sivakumaran, Y.; Sussman, J.; Tillmanns, C.; Yan, K.; Zahradnic, F.	1	2008
Van der Waerden’s theorem and avoidability in words. Zbl 1209.68392 Au, Yu-Hin; Robertson, Aaron; Shallit, Jeffrey	1	2011
Down the large rabbit hole. Zbl 1439.05219 Robertson, Aaron	1	2020
The determination of 2-color zero-sum generalized Schur numbers. Zbl 1416.05282 Robertson, Aaron; Roy, Bidisha; Sarkar, Subha	1	2018
Multiplicity of monochromatic solutions to \(x+y<z\). Zbl 1231.05271 Kosek, Wojciech; Robertson, Aaron; Sabo, Dusty; Schaal, Daniel	1	2010
Arithmetic progressions, quasi progressions, and Gallai-Ramsey colorings. Zbl 1508.05169 Mao, Yaping; Ozeki, Kenta; Robertson, Aaron; Wang, Zhao	4	2023
Fundamentals of Ramsey theory. Zbl 1482.05001 Robertson, Aaron	5	2021
Zero-sum analogues of van der Waerden’s theorem on arithmetic progressions. Zbl 1472.11080 Robertson, Aaron	2	2020
Down the large rabbit hole. Zbl 1439.05219 Robertson, Aaron	1	2020
Zero-sum generalized Schur numbers. Zbl 1422.05101 Robertson, Aaron	3	2018
The determination of 2-color zero-sum generalized Schur numbers. Zbl 1416.05282 Robertson, Aaron; Roy, Bidisha; Sarkar, Subha	1	2018
Ramsey theory on the integers. 2nd ed. Zbl 1307.05218 Landman, Bruce M.; Robertson, Aaron	22	2014
Van der Waerden’s theorem and avoidability in words. Zbl 1209.68392 Au, Yu-Hin; Robertson, Aaron; Shallit, Jeffrey	1	2011
Multiplicity of monochromatic solutions to \(x+y<z\). Zbl 1231.05271 Kosek, Wojciech; Robertson, Aaron; Sabo, Dusty; Schaal, Daniel	1	2010
On the asymptotic minimum number of monochromatic 3-term arithmetic progressions. Zbl 1210.05172 Parrilo, Pablo A.; Robertson, Aaron; Saracino, Dan	6	2008
Some two color, four variable Rado numbers. Zbl 1178.05095 Robertson, Aaron; Myers, Kellen	6	2008
Bounds on some van der Waerden numbers. Zbl 1169.05047 Brown, Tom; Landman, Bruce M.; Robertson, Aaron	6	2008
Can consumer software selection code for digital cameras improve consumer performance? Zbl 1136.91510 Norman, A. L.; Aberty, M.; Brehm, K.; Drake, M.; Gour, S.; Govil, C.; Gu, B.; Hart, J.; Kadiri, G. El; Ke, J.; Keyburn, S.; Kulkarni, M.; Mehta, N.; Robertson, A.; Sanghai, J.; Shah, V.; Schieck, J.; Sivakumaran, Y.; Sussman, J.; Tillmanns, C.; Yan, K.; Zahradnic, F.	1	2008
Refined restricted involutions. Zbl 1110.05003 Deutsch, Emeric; Robertson, Aaron; Saracino, Dan	11	2007
Two color off-diagonal Rado-type numbers. Zbl 1157.05336 Myers, Kellen; Robertson, Aaron	3	2007
Avoiding monochromatic sequences with special gaps. Zbl 1141.05078 Landman, Bruce M.; Robertson, Aaron	3	2007
Some new exact van der Waerden numbers. Zbl 1110.05097 Landman, Bruce; Robertson, Aaron; Culver, Clay	6	2005
Ramsey theory on the integers. Zbl 1035.05096 Landman, Bruce M.; Robertson, Aaron	29	2004
Restricted permutations from Catalan to Fine and back. Zbl 1064.05003 Robertson, Aaron	8	2003
Refined restricted permutations. Zbl 1017.05014 Robertson, Aaron; Saracino, Dan; Zeilberger, Doron	26	2002
Refined restricted permutations avoiding subsets of patterns of length three. Zbl 1017.05011 Mansour, Toufik; Robertson, Aaron	5	2002
On generalized van der Waerden triples. Zbl 1071.05070 Landman, Bruce; Robertson, Aaron	3	2002
New lower bound formulas for multicolored Ramsey numbers. Zbl 0990.05126 Robertson, Aaron	1	2002
Off-diagonal generalized Schur numbers. Zbl 0973.11024 Robertson, Aaron; Schaal, Daniel	13	2001
Permutations restricted by two distinct patterns of length three. Zbl 0992.05005 Robertson, Aaron	2	2001
Difference Ramsey numbers and Issai numbers. Zbl 0957.05076 Robertson, Aaron	7	2000
Permutation patterns and continued fractions. Zbl 0937.05004 Robertson, Aaron; Wilf, Herbert S.; Zeilberger, Doron	15	1999
Permutations containing and avoiding \(123\) and \(132\) patterns. Zbl 0930.05003 Robertson, Aaron	7	1999
New lower bounds for some multicolored Ramsey numbers. Zbl 0913.05091 Robertson, Aaron	1	1999
A 2-coloring of \([1, N]\) can have \((1/22) N^2+O(N)\) monochromatic Schur triples, but not less. Zbl 0894.05052 Robertson, Aaron; Zeilberger, Doron	17	1998

all cited Publications top 5 cited Publications

all top 5

Cited by 226 Authors

13	Robertson, Aaron
8	Mansour, Toufik
6	Schaal, Daniel J.
5	Elizalde, Sergi
5	Saracino, Dan
4	Jungić, Veselin M.
4	Mao, Yaping
4	Serra, Oriol
4	Tripathi, Amitabha
3	Archer, Kassie
3	Brown, Thomas Craig
3	Janson, Svante
3	Landman, Bruce M.
3	Montejano, Amanda
2	Ahmed, Tanbir
2	Barnabei, Marilena
2	Bloom, Jonathan S.
2	Bonetti, Flavio
2	Dwivedi, Srashti
2	Fox, Jacob
2	Fu, Tung-Shan
2	Gasarch, William Ian
2	Grytczuk, Jarosław
2	Hopkins, Brian
2	Huczynska, Sophie
2	Huicochea, Mario
2	Kosek, Wojciech
2	Kuba, Markus F.
2	Myers, Kellen
2	Pak, Igor
2	Panholzer, Alois
2	Radoičić, Radoš
2	Revuelta, M. Pastora
2	Sanz Domínguez, María Isabel
2	Shao, Zehui
2	Shattuck, Mark A.
2	Silimbani, Matteo
2	Taranchuk, Vladislav
2	Troyka, Justin M.
2	Vatter, Vincent Russell
2	Wang, Zhao
2	Wong, Elaine
2	Xu, Xiaodong
2	Yan, Sherry H. F.
1	Abd El-Maksoud, Munira A.
1	Abdalla, Areeg
1	Adhikari, Sukumar Das
1	Aedo, Ibai
1	Andriantsoa, Sandrataniaina R.
1	Bereg, Sergey N.
1	Berman, Yosef
1	Bernstein, Daniel Irving
1	Blankenship, Thomas
1	Blondal, Ari
1	Bóna, Miklós
1	Bousquet-Mélou, Mireille
1	Boyd, Rachael
1	Boza, L.
1	Brignall, Robert
1	Budden, Mark R.
1	Bukata, Michael
1	Butler, Steven Kay
1	Cameron, Peter Jephson
1	Candela, Pablo
1	Caro, Yair
1	Cassaigne, Julien
1	Chappelon, Jonathan
1	Chybowska-Sokół, Joanna
1	Cilleruelo, Javier
1	Claesson, Anders
1	Clifton, Alexander
1	Conlon, David
1	Costello, Kevin Patrick
1	Cruz-Filipe, Luís
1	Cummings, Jay
1	Currie, James D.
1	Datskovsky, Boris A.
1	De Loera, Jesús A.
1	Dȩbski, Michał
1	Deng, Eva Y. P.
1	Deng, Fei
1	Deutsch, Emeric
1	Doss, Adam
1	Du, Rosena R. X.
1	Dumitrescu, Adrian
1	Eliahou, Shalom
1	Elsholtz, Christian
1	Eu, Sen-Peng
1	Farhangi, Sohail
1	Frantzikinakis, Nikos
1	Fu, James C.
1	Fu, Shishuo
1	Fulmek, Markus
1	Gaiser, Collier
1	Ge, Huiyun
1	Geary, Aaron
1	Graham, Ronald Lewis
1	Graves, Christina M.
1	Greenwood, Torin
1	Grimm, Uwe
...and 126 more Authors

all top 5

Cited in 51 Serials

21	Journal of Combinatorial Theory. Series A
18	Advances in Applied Mathematics
17	Discrete Mathematics
11	Integers
7	European Journal of Combinatorics
6	Graphs and Combinatorics
6	The Electronic Journal of Combinatorics
3	Discrete Applied Mathematics
3	The Australasian Journal of Combinatorics
2	Rocky Mountain Journal of Mathematics
2	Mathematics of Computation
2	Functiones et Approximatio. Commentarii Mathematici
2	SIAM Journal on Discrete Mathematics
2	Experimental Mathematics
2	Discrete Mathematics and Theoretical Computer Science. DMTCS
2	Journal of Integer Sequences
1	American Mathematical Monthly
1	Information Processing Letters
1	The Mathematical Intelligencer
1	Journal of Computer and System Sciences
1	Journal of Number Theory
1	Journal of Statistical Planning and Inference
1	Proceedings of the American Mathematical Society
1	Proceedings of the Edinburgh Mathematical Society. Series II
1	Quaestiones Mathematicae
1	Topology and its Applications
1	Bulletin of the Korean Mathematical Society
1	Annals of Pure and Applied Logic
1	Algorithmica
1	Revista Matemática Iberoamericana
1	Journal of Automated Reasoning
1	JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing
1	Random Structures & Algorithms
1	Journal of Algebraic Combinatorics
1	Combinatorics, Probability and Computing
1	Computational and Applied Mathematics
1	Journal of the Egyptian Mathematical Society
1	Discussiones Mathematicae. Graph Theory
1	Journal of Difference Equations and Applications
1	Séminaire Lotharingien de Combinatoire
1	Taiwanese Journal of Mathematics
1	Journal of the ACM
1	Annals of Combinatorics
1	Methodology and Computing in Applied Probability
1	Applicable Analysis and Discrete Mathematics
1	Ars Mathematica Contemporanea
1	Forum of Mathematics, Pi
1	Journal of Mathematics
1	Electronic Journal of Graph Theory and Applications
1	Arnold Mathematical Journal
1	Korean Journal of Mathematics

all top 5

Cited in 17 Fields

134	Combinatorics (05-XX)
48	Number theory (11-XX)
10	Computer science (68-XX)
7	Probability theory and stochastic processes (60-XX)
6	Group theory and generalizations (20-XX)
3	Operations research, mathematical programming (90-XX)
2	History and biography (01-XX)
2	Functions of a complex variable (30-XX)
2	Harmonic analysis on Euclidean spaces (42-XX)
1	Mathematical logic and foundations (03-XX)
1	Order, lattices, ordered algebraic structures (06-XX)
1	Field theory and polynomials (12-XX)
1	Associative rings and algebras (16-XX)
1	Category theory; homological algebra (18-XX)
1	Dynamical systems and ergodic theory (37-XX)
1	Convex and discrete geometry (52-XX)
1	Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

Wikidata Timeline

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