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Williams, Aaron Michael

Author ID:
williams.aaron-michael Recent zbMATH articles by "Williams, Aaron Michael"
Published as:
Williams, Aaron;Williams, A.;Williams, Aaron Michael
Documents Indexed:

60 Publications since 2005, including4 Additional arXiv Preprints

Software Indexed:
1 Package referenced in1 Document
alltop 5

Co-Authors

3single-authored
27 Sawada, Joe
11 Wong, Dennis Chi-Him
10 Ruskey, Frank
5 Hartung, Elizabeth J.
4 Stevens, Brett
3 Demaine, Erik D.
3 Mütze, Torsten
2 Cameron, Ben
2 Dragon, Patrick Baxter
2 Durocher, Stephane
2 Gabric, Daniel
2 Hernandez, Oscar I.
2 Hoang, Hung P.
2 Holroyd, Alexander E.
2 Lapey, Paul W.
2 Li, Pak-Ching
2 Merino, Arturo I.
2 Mondal, Debajyoti
2 Qiu, Yuan
2 Uehara, Ryuhei
2 Uno, Yushi
1 Baes, Akira
1 Burke, Kyle W.
1 Chapman, James T. E.
1 Demaine, Martin L.
1 Downing, Emily
1 Foos, Judith
1 Goertz, Madeleine E.
1 Gregg, Harrison
1 Guenin, Bertrand
1 Hearn, Robert A.
1 Hesterberg, Adam C.
1 Hoffmann, Michael
1 Ito, Hiro
1 Kastrati, Feston
1 Kostitsyna, Irina
1 Langerman, Stefan
1 Lee, Gilbert
1 Lee, Orlando
1 Leonard, Jody
1 Lipták, Zsuzsanna
1 Löffler, Maarten
1 Lucido, Cody
1 Masillo, Francesco
1 Myrvold, Wendy J.
1 Namrata, Kumari
1 Navarro, Gonzalo
1 Nelson, Andrew F.
1 O'Rourke, Joseph
1 Panjer, Lucas D.
1 Santiago, Aaron
1 Schmidt, Christiane
1 Sears, Jessica
1 Therese, Wei
1 Trautrim, A.
1 Viglietta, Giovanni

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 387 times in134 DocumentsCited by ▼Year ▼
Binary bubble languages and cool-lex order. Zbl 1314.68205
Ruskey, Frank;Sawada, Joe;Williams, Aaron
2012
The greedy Gray code algorithm. Zbl 1390.68753
Williams, Aaron
2013
Shorthand universal cycles for permutations. Zbl 1253.68273
Holroyd, Alexander E.;Ruskey, Frank;Williams, Aaron
2012
A surprisingly simple de Bruijn sequence construction. Zbl 1322.05013
Sawada, Joe;Williams, Aaron;Wong, Dennis
2016
An explicit universal cycle for the \((n-1)\)-permutations of an \(n\)-set. Zbl 1300.05305
Ruskey, Frank;Williams, Aaron
2010
A Gray code for fixed-density necklaces and Lyndon words in constant amortized time. Zbl 1296.68120
Sawada, J.;Williams, A.
2013
The coolest way to generate combinations. Zbl 1180.68297
Ruskey, Frank;Williams, Aaron
2009
De Bruijn sequences for fixed-weight binary strings. Zbl 1248.68363
Ruskey, Frank;Sawada, Joe;Williams, Aaron
2012
Loopless generation of multiset permutations using a constant number of variables by prefix shifts. Zbl 1423.05008
Williams, Aaron
2009
A framework for constructing de Bruijn sequences via simple successor rules. Zbl 1395.05003
Gabric, Daniel;Sawada, Joe;Williams, Aaron;Wong, Dennis
2018
Combinatorial generation via permutation languages. Zbl 07304097
Hartung, Elizabeth;Hoang, Hung P.;Mütze, Torsten;Williams, Aaron
2020
A Hamilton path for the sigma-tau problem. Zbl 1403.05007
Sawada, Joe;Williams, Aaron
2018
Efficient oracles for generating binary bubble languages. Zbl 1362.68304
Sawada, J.;Williams, A.
2012
Combinatorial generation via permutation languages. I: Fundamentals. Zbl 1484.05009
Hartung, Elizabeth;Hoang, Hung P.;Mütze, Torsten;Williams, Aaron
2022
Universal cycles for weight-range binary strings. Zbl 1407.68580
Sawada, Joe;Williams, Aaron;Wong, Dennis
2013
A successor rule framework for constructing \(k\)-ary de Bruijn sequences and universal cycles. Zbl 1433.94079
Gabric, D.;Sawada, J.;Williams, A.;Wong, D.
2020
De Bruijn sequences for the binary strings with maximum density. Zbl 1317.68289
Sawada, Joe;Stevens, Brett;Williams, Aaron
2011
Constructing de Bruijn sequences with co-lexicographic order: the \(k\)-ary grandmama sequence. Zbl 1455.94097
Dragon, Patrick Baxter;Hernandez, Oscar I.;Sawada, Joe;Williams, Aaron;Wong, Dennis
2018
Generalizing the classic greedy and necklace constructions of de Bruijn sequences and universal cycles. Zbl 1330.05007
Sawada, Joe;Williams, Aaron;Wong, Dennis
2016
Solving the sigma-tau problem. Zbl 1458.05108
Sawada, Joe;Williams, Aaron
2020
Greedy flipping of pancakes and burnt pancakes. Zbl 1339.05010
Sawada, Joe;Williams, Aaron
2016
All your bases are belong to us: listing all bases of a matroid by greedy exchanges. Zbl 07850175
Merino, Arturo;Mütze, Torsten;Williams, Aaron
2022
Inside the binary reflected Gray code: flip-swap languages in 2-Gray code order. Zbl 1537.68081
Sawada, Joe;Williams, Aaron;Wong, Dennis
2021
The coolest way to generate binary strings. Zbl 1303.68165
Stevens, Brett;Williams, Aaron
2014
Flip-swap languages in binary reflected Gray code order. Zbl 1537.68082
Sawada, Joe;Williams, Aaron;Wong, Dennis
2022
Generating combinations by prefix shifts. Zbl 1128.68393
Ruskey, Frank;Williams, Aaron
2005
Super Mario Bros. is harder/easier than we thought. Zbl 1369.68237
Demaine, Erik D.;Viglietta, Giovanni;Williams, Aaron
2016
The grandmama de Bruijn sequence for binary strings. Zbl 1475.68257
Dragon, Patrick Baxter;Hernandez, Oscar I.;Williams, Aaron
2016
Practical algorithms to rank necklaces, Lyndon words, and de Bruijn sequences. Zbl 1370.68343
Sawada, Joe;Williams, Aaron
2017
The lexicographically smallest universal cycle for binary strings with minimum specified weight. Zbl 1306.68212
Sawada, Joe;Williams, Aaron;Wong, Dennis
2014
A simple shift rule for \(k\)-ary de Bruijn sequences. Zbl 1351.05022
Sawada, Joe;Williams, Aaron;Wong, Dennis
2017
Single-player and two-player buttons & scissors games (extended abstract). Zbl 1482.68106
Burke, Kyle;Demaine, Erik D.;Gregg, Harrison;Hearn, Robert A.;Hesterberg, Adam;Hoffmann, Michael;Ito, Hiro;Kostitsyna, Irina;Leonard, Jody;Löffler, Maarten;Santiago, Aaron;Schmidt, Christiane;Uehara, Ryuhei;Uno, Yushi;Williams, Aaron
2016
Successor rules for flipping pancakes and burnt pancakes. Zbl 1332.68091
Sawada, J.;Williams, A.
2016
Cool-lex order and \(k\)-ary Catalan structures. Zbl 1257.68120
Durocher, Stephane;Li, Pak Ching;Mondal, Debajyoti;Ruskey, Frank;Williams, Aaron
2012
A Hamilton cycle in the \(k\)-sided pancake network. Zbl 07495019
Cameron, B.;Sawada, J.;Williams, A.
2021
Necklaces and Lyndon words in colexicographic and binary reflected Gray code order. Zbl 1374.68731
Sawada, Joe;Williams, Aaron;Wong, Dennis
2017
Faster generation of shorthand universal cycles for permutations. Zbl 1253.05008
Holroyd, Alexander;Ruskey, Frank;Williams, Aaron
2010
Constant time and space updates for the sigma-tau problem. Zbl 1551.68277
Lipták, Zsuzsanna;Masillo, Francesco;Navarro, Gonzalo;Williams, Aaron
2023
Hamming distance from irreducible polynomials over \(\mathbb F_2\). Zbl 1192.68969
Lee, Gilbert;Ruskey, Frank;Williams, Aaron
2007
Advances in packing directed joins. Zbl 1203.05127
Williams, Aaron Michael;Guenin, Bertrand
2005
Ranking and loopless generation of \(k\)-ary Dyck words in cool-lex order. Zbl 1314.68204
Durocher, Stephane;Li, Pak Ching;Mondal, Debajyoti;Williams, Aaron
2011
A universal cycle for strings with fixed-content (which are also known as multiset permutations). Zbl 07498706
Sawada, J.;Williams, A.
2021
Hamiltonicity of \(k\)-sided pancake networks with fixed-spin: efficient generation, ranking, and optimality. Zbl 1510.05161
Cameron, Ben;Sawada, Joe;Therese, Wei;Williams, Aaron
2023
Packing dicycle covers in planar graphs with no \(K_{5}-e\) minor. Zbl 1145.05317
Lee, Orlando;Williams, Aaron
2006
The feline Josephus problem. Zbl 1254.68183
Ruskey, Frank;Williams, Aaron
2012
Pairwise disagreements of Kekulé, Clar, and Fries numbers for benzenoids: a mathematical and computational investigation. Zbl 1468.05292
Chapman, James;Foos, Judith;Hartung, Elizabeth J.;Nelson, Andrew;Williams, Aaron
2018
On the hardness of Gray code problems for combinatorial objects. Zbl 07883864
Merino, Arturo;Namrata;Williams, Aaron
2024
A shift Gray code for fixed-content Łukasiewicz words. Zbl 07577713
Lapey, Paul W.;Williams, Aaron
2022
Hamilton cycles in restricted and incomplete rotator graphs. Zbl 1254.05093
Stevens, Brett;Williams, Aaron
2012
Constructing the first (and coolest) fixed-content universal cycle. Zbl 07691821
Sawada, Joe;Williams, Aaron
2023
Generating signed permutations by twisting two-sided ribbons. Zbl 07857844
Qiu, Yuan;Williams, Aaron
2024
On the hardness of Gray code problems for combinatorial objects. Zbl 07883864
Merino, Arturo;Namrata;Williams, Aaron
2024
Generating signed permutations by twisting two-sided ribbons. Zbl 07857844
Qiu, Yuan;Williams, Aaron
2024
Constant time and space updates for the sigma-tau problem. Zbl 1551.68277
Lipták, Zsuzsanna;Masillo, Francesco;Navarro, Gonzalo;Williams, Aaron
2023
Hamiltonicity of \(k\)-sided pancake networks with fixed-spin: efficient generation, ranking, and optimality. Zbl 1510.05161
Cameron, Ben;Sawada, Joe;Therese, Wei;Williams, Aaron
2023
Constructing the first (and coolest) fixed-content universal cycle. Zbl 07691821
Sawada, Joe;Williams, Aaron
2023
Combinatorial generation via permutation languages. I: Fundamentals. Zbl 1484.05009
Hartung, Elizabeth;Hoang, Hung P.;Mütze, Torsten;Williams, Aaron
2022
All your bases are belong to us: listing all bases of a matroid by greedy exchanges. Zbl 07850175
Merino, Arturo;Mütze, Torsten;Williams, Aaron
2022
Flip-swap languages in binary reflected Gray code order. Zbl 1537.68082
Sawada, Joe;Williams, Aaron;Wong, Dennis
2022
A shift Gray code for fixed-content Łukasiewicz words. Zbl 07577713
Lapey, Paul W.;Williams, Aaron
2022
Inside the binary reflected Gray code: flip-swap languages in 2-Gray code order. Zbl 1537.68081
Sawada, Joe;Williams, Aaron;Wong, Dennis
2021
A Hamilton cycle in the \(k\)-sided pancake network. Zbl 07495019
Cameron, B.;Sawada, J.;Williams, A.
2021
A universal cycle for strings with fixed-content (which are also known as multiset permutations). Zbl 07498706
Sawada, J.;Williams, A.
2021
Combinatorial generation via permutation languages. Zbl 07304097
Hartung, Elizabeth;Hoang, Hung P.;Mütze, Torsten;Williams, Aaron
2020
A successor rule framework for constructing \(k\)-ary de Bruijn sequences and universal cycles. Zbl 1433.94079
Gabric, D.;Sawada, J.;Williams, A.;Wong, D.
2020
Solving the sigma-tau problem. Zbl 1458.05108
Sawada, Joe;Williams, Aaron
2020
A framework for constructing de Bruijn sequences via simple successor rules. Zbl 1395.05003
Gabric, Daniel;Sawada, Joe;Williams, Aaron;Wong, Dennis
2018
A Hamilton path for the sigma-tau problem. Zbl 1403.05007
Sawada, Joe;Williams, Aaron
2018
Constructing de Bruijn sequences with co-lexicographic order: the \(k\)-ary grandmama sequence. Zbl 1455.94097
Dragon, Patrick Baxter;Hernandez, Oscar I.;Sawada, Joe;Williams, Aaron;Wong, Dennis
2018
Pairwise disagreements of Kekulé, Clar, and Fries numbers for benzenoids: a mathematical and computational investigation. Zbl 1468.05292
Chapman, James;Foos, Judith;Hartung, Elizabeth J.;Nelson, Andrew;Williams, Aaron
2018
Practical algorithms to rank necklaces, Lyndon words, and de Bruijn sequences. Zbl 1370.68343
Sawada, Joe;Williams, Aaron
2017
A simple shift rule for \(k\)-ary de Bruijn sequences. Zbl 1351.05022
Sawada, Joe;Williams, Aaron;Wong, Dennis
2017
Necklaces and Lyndon words in colexicographic and binary reflected Gray code order. Zbl 1374.68731
Sawada, Joe;Williams, Aaron;Wong, Dennis
2017
A surprisingly simple de Bruijn sequence construction. Zbl 1322.05013
Sawada, Joe;Williams, Aaron;Wong, Dennis
2016
Generalizing the classic greedy and necklace constructions of de Bruijn sequences and universal cycles. Zbl 1330.05007
Sawada, Joe;Williams, Aaron;Wong, Dennis
2016
Greedy flipping of pancakes and burnt pancakes. Zbl 1339.05010
Sawada, Joe;Williams, Aaron
2016
Super Mario Bros. is harder/easier than we thought. Zbl 1369.68237
Demaine, Erik D.;Viglietta, Giovanni;Williams, Aaron
2016
The grandmama de Bruijn sequence for binary strings. Zbl 1475.68257
Dragon, Patrick Baxter;Hernandez, Oscar I.;Williams, Aaron
2016
Single-player and two-player buttons & scissors games (extended abstract). Zbl 1482.68106
Burke, Kyle;Demaine, Erik D.;Gregg, Harrison;Hearn, Robert A.;Hesterberg, Adam;Hoffmann, Michael;Ito, Hiro;Kostitsyna, Irina;Leonard, Jody;Löffler, Maarten;Santiago, Aaron;Schmidt, Christiane;Uehara, Ryuhei;Uno, Yushi;Williams, Aaron
2016
Successor rules for flipping pancakes and burnt pancakes. Zbl 1332.68091
Sawada, J.;Williams, A.
2016
The coolest way to generate binary strings. Zbl 1303.68165
Stevens, Brett;Williams, Aaron
2014
The lexicographically smallest universal cycle for binary strings with minimum specified weight. Zbl 1306.68212
Sawada, Joe;Williams, Aaron;Wong, Dennis
2014
The greedy Gray code algorithm. Zbl 1390.68753
Williams, Aaron
2013
A Gray code for fixed-density necklaces and Lyndon words in constant amortized time. Zbl 1296.68120
Sawada, J.;Williams, A.
2013
Universal cycles for weight-range binary strings. Zbl 1407.68580
Sawada, Joe;Williams, Aaron;Wong, Dennis
2013
Binary bubble languages and cool-lex order. Zbl 1314.68205
Ruskey, Frank;Sawada, Joe;Williams, Aaron
2012
Shorthand universal cycles for permutations. Zbl 1253.68273
Holroyd, Alexander E.;Ruskey, Frank;Williams, Aaron
2012
De Bruijn sequences for fixed-weight binary strings. Zbl 1248.68363
Ruskey, Frank;Sawada, Joe;Williams, Aaron
2012
Efficient oracles for generating binary bubble languages. Zbl 1362.68304
Sawada, J.;Williams, A.
2012
Cool-lex order and \(k\)-ary Catalan structures. Zbl 1257.68120
Durocher, Stephane;Li, Pak Ching;Mondal, Debajyoti;Ruskey, Frank;Williams, Aaron
2012
The feline Josephus problem. Zbl 1254.68183
Ruskey, Frank;Williams, Aaron
2012
Hamilton cycles in restricted and incomplete rotator graphs. Zbl 1254.05093
Stevens, Brett;Williams, Aaron
2012
De Bruijn sequences for the binary strings with maximum density. Zbl 1317.68289
Sawada, Joe;Stevens, Brett;Williams, Aaron
2011
Ranking and loopless generation of \(k\)-ary Dyck words in cool-lex order. Zbl 1314.68204
Durocher, Stephane;Li, Pak Ching;Mondal, Debajyoti;Williams, Aaron
2011
An explicit universal cycle for the \((n-1)\)-permutations of an \(n\)-set. Zbl 1300.05305
Ruskey, Frank;Williams, Aaron
2010
Faster generation of shorthand universal cycles for permutations. Zbl 1253.05008
Holroyd, Alexander;Ruskey, Frank;Williams, Aaron
2010
The coolest way to generate combinations. Zbl 1180.68297
Ruskey, Frank;Williams, Aaron
2009
Loopless generation of multiset permutations using a constant number of variables by prefix shifts. Zbl 1423.05008
Williams, Aaron
2009
Hamming distance from irreducible polynomials over \(\mathbb F_2\). Zbl 1192.68969
Lee, Gilbert;Ruskey, Frank;Williams, Aaron
2007
Packing dicycle covers in planar graphs with no \(K_{5}-e\) minor. Zbl 1145.05317
Lee, Orlando;Williams, Aaron
2006
Generating combinations by prefix shifts. Zbl 1128.68393
Ruskey, Frank;Williams, Aaron
2005
Advances in packing directed joins. Zbl 1203.05127
Williams, Aaron Michael;Guenin, Bertrand
2005
alltop 5

Cited by 184 Authors

32 Sawada, Joe
27 Williams, Aaron Michael
17 Mütze, Torsten
11 Wong, Dennis Chi-Him
9 Merino, Arturo I.
6 Lipták, Zsuzsanna
5 Cameron, Ben
5 Gabric, Daniel
5 Gregor, Petr
4 Namrata, Kumari
4 Ruskey, Frank
3 Alhakim, Abbas M.
3 Chang, Zuling
3 Cicalese, Ferdinando
3 Hoang, Hung P.
3 Kitaev, Sergey
3 Lin, Dongdai
3 Liu, Bowie
3 Rossi, Massimiliano
2 Adamson, Duncan
2 Amram, Gal
2 Blanco, Saúl A.
2 Bulutoglu, Dursun A.
2 Cardinal, Jean
2 Chavrimootoo, Michael C.
2 Chen, Hanlin
2 Demaine, Erik D.
2 Ezerman, Martianus Frederic
2 Filaseta, Michael A.
2 Geyer, Andrew J.
2 Grubb, Aaron
2 Hartman, Patrick
2 Im, Marcus
2 Jäger, Sven
2 Jiang, Yupeng
2 Konstantinova, Elena V.
2 Lam, Chan-Tong
2 Li, Ming
2 Lynch, Jayson
2 Mička, Ondřej
2 Nummenpalo, Jerri
2 Park, Jang-Woo
2 Qiu, Yuan
2 Rubin, Amir
2 Sala, Evan
2 Stevens, Brett
2 Teixeira, Ricardo V.
2 Turner, Jonathan Shields
2 Vajnovszki, Vincent
2 Walczak, Bartosz
2 Wang, Qisheng
2 Wille, Kaja
2 Zhang, Philip B.
1 Abbasi, Sarmad
1 Abdi, Ahmad
1 Akiyama, Jin
1 Alamgir, Zareen
1 Amani, Mahdi
1 Ashlagi, Yair
1 Baczkowski, Daniel M.
1 Baril, Jean-Luc
1 Bilò, Davide
1 Blanchet-Sadri, Francine
1 Buehrle, Charles
1 Burcsi, Péter
1 Calero, Fabio
1 Chen, Herman Z. Q.
1 Cornuéjols, Gérard P.
1 Dau, Son Hoang
1 Di Nardo, Elvira
1 DiMuro, Joseph
1 Dogan, Ali
1 Dragon, Patrick Baxter
1 Dubickas, Artūras
1 Durocher, Stephane
1 El Krari, Mehdi
1 Engen, Michael
1 Fahreza, Adamas Aqsa
1 Fici, Gabriele
1 Fukunaga, Takuro
1 Gao, Alice L. L.
1 Ge, Xiaoyu
1 Godbole, Anant P.
1 Gollin, J. Pascal
1 Gostevsky, D. A.
1 Grosof, Isaac
1 Gualà, Luciano
1 Guarino, Giuseppe
1 Guenin, Bertrand
1 Guibadj, Rym Nesrine
1 Gündoğan, Aysu
1 Guo, Qiuzhi
1 Han, Tian
1 Hartung, Elizabeth J.
1 Hernandez, Oscar I.
1 Heuer, Karl
1 Hojny, Christopher
1 Holroyd, Alexander E.
1 Huang, Xiaowei
1 Huemer, Clemens
...and 84 more Authors
alltop 5

Cited in 41 Serials

17 Discrete Mathematics
17 Theoretical Computer Science
5 Discrete Applied Mathematics
4 Information Processing Letters
4 Graphs and Combinatorics
4 Designs, Codes and Cryptography
4 Journal of Discrete Algorithms
3 Algorithmica
3 SIAM Journal on Discrete Mathematics
2 Acta Arithmetica
2 Journal of Combinatorial Theory. Series A
2 SIAM Journal on Computing
2 European Journal of Combinatorics
2 The Electronic Journal of Combinatorics
2 Journal of Mathematical Chemistry
2 Theory of Computing Systems
2 ACM Transactions on Algorithms
1 American Mathematical Monthly
1 Artificial Intelligence
1 Israel Journal of Mathematics
1 Mathematics of Computation
1 Advances in Mathematics
1 Journal of Combinatorial Theory. Series B
1 Journal of Graph Theory
1 Journal of the London Mathematical Society. Second Series
1 Transactions of the American Mathematical Society
1 Bulletin of the Iranian Mathematical Society
1 Discrete \& Computational Geometry
1 International Journal of Foundations of Computer Science
1 Computational Statistics
1 Communications in Statistics. Simulation and Computation
1 Mathematical Programming. Series A. Series B
1 Applicable Algebra in Engineering, Communication and Computing
1 Journal of Algebraic Combinatorics
1 Journal of Logic, Language and Information
1 New Journal of Physics
1 Journal of Systems Science and Complexity
1 Hacettepe Journal of Mathematics and Statistics
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Korean Journal of Mathematics
1 Combinatorial Theory
alltop 5

Cited in 20 Fields

88 Computer science (68-XX)
63 Combinatorics (05-XX)
21 Information and communication theory, circuits (94-XX)
11 Number theory (11-XX)
8 Operations research, mathematical programming (90-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Convex and discrete geometry (52-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
4 Group theory and generalizations (20-XX)
2 General and overarching topics; collections (00-XX)
2 Statistics (62-XX)
2 Quantum theory (81-XX)
2 Biology and other natural sciences (92-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Geometry (51-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistical mechanics, structure of matter (82-XX)

Citations by Year

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