Edit Profile (opens in new tab) Nelson, Sam Co-Author Distance Author ID: nelson.sam Published as: Nelson, Sam; Nelson, S. Homepage: https://www1.cmc.edu/pages/faculty/VNelson/ External Links: MGP Documents Indexed: 106 Publications since 2001, including 1 Book and 11 Additional arXiv Preprints 2 Contributions as Editor Reviewing Activity: 83 Reviews Co-Authors: 86 Co-Authors with 92 Joint Publications 968 Co-Co-Authors all top 5 Co-Authors 15 single-authored 7 Elhamdadi, Mohamed 5 Ceniceros, Jose 4 Henrich, Allison K. 4 Kim, Jieon 4 Oyamaguchi, Natsumi 3 Crans, Alissa S. 3 Gügümcü, Neslihan 3 Murillo, Gabriel 3 Needell, Deanna 2 Ceniceros, Jessica 2 Cho, Karina 2 Choi, Seonmi 2 Churchill, Indu R. U. 2 Flapan, Erica 2 Hajij, Mustafa 2 Harrell, Natasha 2 Joung, Yewon 2 Kaestner, Aaron M. 2 Nickerson, Fletcher 2 Oshiro, Kanako 2 Rivera, Patricia 2 Rivera, Veronica 2 Tamagawa, Sherilyn 1 Adams, Colin C. 1 Aggarwal, Laira 1 Aksoy, Sinan G. 1 Batic, Davide 1 Bauernschmidt, Regina 1 Blankstein, Jackson 1 Brown, Madeline 1 Carrell, Tim 1 Chang, Melody 1 Chang, Wesley 1 Chao-Haft, Max 1 Chavez, Eric 1 Chien, Julien 1 Choi, Wonhyuk 1 Christiana, Anthony 1 Cody, Evan 1 Creel, Conrad 1 Falkenburg, Pia Cosma 1 Gilroy, Will 1 Graves, Paige 1 Grier, Michael 1 Grindstaff, Gillian Roxanne 1 Haas, Aaron 1 Heckel, Garret 1 Henderson, Richard 1 Hennig, Johanna M. 1 Ho, Benita 1 Ho, Melinda 1 Ishii, Atsushi 1 Istanbouli, Karma 1 Jeong, Suhyeon 1 Kauffman, Louis Hirsch 1 Kim, Susan 1 Kobayashi, Forest 1 Lam, Daisy 1 Lepel, Catherine 1 Lin, Xiao-Song 1 Litherland, Richard A. 1 Liu, Minghui 1 Ludwig, Lewis D. 1 Macedo, Todd 1 Navas, Esteban Adam 1 Neumann, Walter David 1 Nowakowski, Marek 1 Orrison, Michael E. 1 Pauletich, Evan 1 Pelland, Katie 1 Pico, Shane 1 Rische, Jacquelyn L. 1 Rosenfield, Jake 1 Sakurai, Migiwa 1 Sarkar, Aparna 1 Sazdanović, Radmila 1 Selker, Leo 1 Seo, Minju 1 Shi, Yingqi 1 Shimizu, Ayaka 1 Vo, John 1 Watterberg, Emily 1 Wieghard, Ryan 1 Wong, Chau-Yim 1 Yaguchi, Yoshiro 1 Yuen, Jonah 1 Zhang, Qingcheng 1 Zhao, Yuqi all top 5 Serials 39 Journal of Knot Theory and its Ramifications 9 International Journal of Mathematics 7 Topology and its Applications 4 Osaka Journal of Mathematics 4 Homology, Homotopy and Applications 3 Journal of Symbolic Computation 3 Journal of Algebra and its Applications 2 Notices of the American Mathematical Society 2 Topology Proceedings 2 The New York Journal of Mathematics 2 Communications in Contemporary Mathematics 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Fundamenta Mathematicae 1 Hiroshima Mathematical Journal 1 Journal of Pure and Applied Algebra 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Communications of the Korean Mathematical Society 1 Algebraic & Geometric Topology 1 Mediterranean Journal of Mathematics 1 Contemporary Mathematics 1 Student Mathematical Library all top 5 Fields 106 Manifolds and cell complexes (57-XX) 6 Nonassociative rings and algebras (17-XX) 3 Combinatorics (05-XX) 3 Group theory and generalizations (20-XX) 3 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 Category theory; homological algebra (18-XX) 2 Geometry (51-XX) 2 Computer science (68-XX) 1 Associative rings and algebras (16-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 82 Publications have been cited 654 times in 358 Documents Cited by ▼ Year ▼ Quandles. An introduction to the algebra of knots. Zbl 1332.57007 Elhamdadi, Mohamed; Nelson, Sam 98 2015 Unknotting virtual knots with Gauss diagram forbidden moves. Zbl 0997.57016 Nelson, Sam 51 2001 The Betti numbers of some finite racks. Zbl 1017.55014 Litherland, R. A.; Nelson, Sam 48 2003 The combinatorial revolution in knot theory. Zbl 1247.57004 Nelson, Sam 24 2011 Matrices and finite quandles. Zbl 1102.57008 Ho, Benita; Nelson, Sam 24 2005 On the orbit decomposition of finite quandles. Zbl 1105.57006 Nelson, Sam; Wong, Chau-Yim 21 2006 Virtual Yang-Baxter cocycle invariants. Zbl 1182.57006 Ceniceros, Jose; Nelson, Sam 16 2009 Classification of finite Alexander quandles. Zbl 1066.57019 Nelson, Sam 15 2003 Matrices and finite biquandles. Zbl 1111.57009 Nelson, Sam; Vo, John 15 2006 Augmented biracks and their homology. Zbl 1306.57010 Ceniceros, Jose; Elhamdadi, Mohamed; Green, Matthew; Nelson, Sam 15 2014 Singular knots and involutive quandles. Zbl 1427.57005 Churchill, Indu R. U.; Elhamdadi, Mohamed; Hajij, Mustafa; Nelson, Sam 15 2017 Biquasiles and dual graph diagrams. Zbl 1372.57030 Needell, Deanna; Nelson, Sam 14 2017 Quantum enhancements and biquandle brackets. Zbl 1396.57023 Nelson, Sam; Orrison, Michael E.; Rivera, Veronica 13 2017 Symbolic computation with finite quandles. Zbl 1125.68141 Henderson, Richard; Macedo, Todd; Nelson, Sam 11 2006 Local biquandles and Niebrzydowski’s tribracket theory. Zbl 1415.57007 Nelson, Sam; Oshiro, Kanako; Oyamaguchi, Natsumi 11 2019 Psyquandles, singular knots and pseudoknots. Zbl 1452.57010 Nelson, Sam; Oyamaguchi, Natsumi; Sazdanovic, Radmila 11 2019 A polynomial invariant of finite quandles. Zbl 1152.57015 Nelson, Sam 10 2008 Virtual tribrackets. Zbl 1426.57029 Nelson, Sam; Pico, Shane 10 2019 Biquandle coloring invariants of knotoids. Zbl 1428.57004 Gügümcü, Neslihan; Nelson, Sam 10 2019 Biquasile colorings of oriented surface-links. Zbl 1383.57031 Kim, Jieon; Nelson, Sam 9 2018 Polynomial knot and link invariants from the virtual biquandle. Zbl 1270.57040 Crans, Alissa S.; Henrich, Allison; Nelson, Sam 9 2013 Quandle coloring quivers. Zbl 1420.57032 Cho, Karina; Nelson, Sam 8 2019 Hom quandles. Zbl 1295.57007 Crans, Alissa S.; Nelson, Sam 8 2014 Trace diagrams and biquandle brackets. Zbl 1422.57040 Nelson, S.; Oyamaguchi, N. 7 2017 Semiquandles and flat virtual knots. Zbl 1207.57014 Henrich, Allison; Nelson, Sam 7 2010 Boltzmann enhancements of biquasile counting invariants. Zbl 1411.57023 Choi, Wonhyuk; Needell, Deanna; Nelson, Sam 7 2018 Matrices and finite Alexander quandles. Zbl 1152.57014 Murillo, Gabriel; Nelson, Sam; Thompson, Anthony 6 2007 Generalized quandle polynomials. Zbl 1257.57019 Nelson, Sam 6 2011 Rack shadows and their invariants. Zbl 1238.57015 Chang, Wesley; Nelson, Sam 6 2011 Bikei, involutory biracks and unoriented link invariants. Zbl 1248.57008 Aksoy, Sinan; Nelson, Sam 6 2012 Partially multiplicative biquandles and handlebody-knots. Zbl 1387.57026 Ishii, Atsushi; Nelson, Sam 6 2017 The 2-generalized knot group determines the knot. Zbl 1176.57012 Nelson, Sam; Neumann, Walter D. 6 2008 Niebrzydowski algebras and trivalent spatial graphs. Zbl 1406.57010 Graves, Paige; Nelson, Sam; Tamagawa, Sherilyn 6 2018 Quandles and linking number. Zbl 1158.57014 Harrell, Natasha; Nelson, Sam 5 2007 Rack module enhancements of counting invariants. Zbl 1245.57009 Haas, Aaron; Heckel, Garret; Nelson, Sam; Yuen, Jonah; Zhang, Qingcheng 5 2012 Tribracket modules. Zbl 1440.57008 Needell, Deanna; Nelson, Sam; Shi, Yingqi 5 2020 Symbolic computation with finite biquandles. Zbl 1139.57010 Creel, Conrad; Nelson, Sam 4 2007 On symplectic quandles. Zbl 1168.57011 Navas, Esteban Adam; Nelson, Sam 4 2008 Quantum enhancements of involutory birack counting invariants. Zbl 1315.57020 Nelson, Sam; Rivera, Veronica 4 2014 Knots, links, spatial graphs, and algebraic invariants. AMS special session on algebraic and combinatorial structures in knot theory and AMS special session on spatial graphs, both held at the California State University, Fullerton, CA, USA, October 24–25, 2015. Proceedings. Zbl 1367.57003 4 2017 Parity biquandle invariants of virtual knots. Zbl 1355.57011 Kaestner, Aaron; Nelson, Sam; Selker, Leo 4 2016 On generalized knot groups. Zbl 1156.57008 Lin, Xiao-Song; Nelson, Sam 4 2008 Birack dynamical cocycles and homomorphism invariants. Zbl 1310.57017 Nelson, Sam; Watterberg, Emily 4 2013 Birack modules and their link invariants. Zbl 1290.57018 Bauernschmidt, Regina; Nelson, Sam 4 2013 Link invariants from finite racks. Zbl 1297.57018 Nelson, Sam 4 2014 Quasi-trivial quandles and biquandles, cocycle enhancements and link-homotopy of pretzel links. Zbl 1479.57022 Elhamdadi, Mohamed; Liu, Minghui; Nelson, Sam 4 2018 On bilinear biquandles. Zbl 1186.57011 Nelson, Sam; Rische, Jacquelyn L. 3 2008 An isomorphism theorem for Alexander biquandles. Zbl 1420.57039 Lam, Daisy; Nelson, Sam 3 2009 Lie ideal enhancements of counting invariants. Zbl 1357.57035 Grindstaff, Gillian Roxanne; Nelson, Sam 3 2016 What is …a quandle? Zbl 1338.57001 Nelson, Sam 3 2016 Quotient quandles and the fundamental Latin Alexander quandle. Zbl 1355.57014 Nelson, Sam; Tamagawa, Sherilyn 3 2016 A survey of quantum enhancements. Zbl 1423.57016 Nelson, Sam 3 2019 Biquandle virtual brackets. Zbl 1436.57014 Nelson, Sam; Oshiro, Kanako; Shimizu, Ayaka; Yaguchi, Yoshiro 3 2019 Birack shadow modules and their link invariants. Zbl 1317.57011 Nelson, Sam; Pelland, Katie 3 2013 Cocycle enhancements of psyquandle counting invariants. Zbl 1467.57008 Ceniceros, Jose; Nelson, Sam 3 2021 Link invariants from finite biracks. Zbl 1288.57009 Nelson, Sam 3 2014 Multi-tribrackets. Zbl 1440.57009 Nelson, Sam; Pauletich, Evan 3 2019 On rack polynomials. Zbl 1260.57005 Carrell, Tim; Nelson, Sam 2 2011 \((t, s)\)-racks and their link invariants. Zbl 1251.57013 Ceniceros, Jessica; Nelson, Sam 2 2012 The column group and its link invariants. Zbl 1244.57025 Hennig, Johanna; Nelson, Sam 2 2012 Virtual crossing realization. Zbl 1085.57007 Nelson, Sam 2 2005 \(N\)-degeneracy in rack homology and link invariants. Zbl 1310.57022 Elhamdadi, Mohamed; Nelson, Sam 2 2012 Polynomial birack modules. Zbl 1298.57008 Cody, Evan; Nelson, Sam 2 2014 Erratum: Alexander quandles of order 16. Zbl 1176.57011 Murillo, Gabriel; Nelson, Sam 2 2009 Bikei homology. Zbl 1387.57014 Nelson, Sam; Rosenfield, Jake 2 2017 Bikei invariants and Gauss diagrams for virtual knotted surfaces. Zbl 1345.57024 Nelson, Sam; Rivera, Patricia 2 2016 Quandle cocycle quivers. Zbl 1473.57007 Cho, Karina; Nelson, Sam 2 2019 Biquandle module invariants of oriented surface-links. Zbl 1441.57024 Joung, Yewon; Nelson, Sam 2 2020 Erratum to: “Singular knots and involutive quandles”. Zbl 1440.57012 Churchill, Indu R. U.; Elhamdadi, Mohamed; Hajij, Mustafa; Nelson, Sam 2 2018 Virtual shadow modules and their link invariants. Zbl 1252.57006 Blankstein, Jackson; Kim, Susan; Lepel, Catherine; Nelson, Sam; Sanderson, Nicole 1 2012 Enhancements of rack counting invariants via dynamical cocycles. Zbl 1257.57015 Crans, Alissa S.; Nelson, Sam; Sarkar, Aparna 1 2012 Link invariants from finite Coxeter racks. Zbl 1238.57012 Nelson, Sam; Wieghard, Ryan 1 2011 Signed ordered knotlike quandle presentations. Zbl 1085.57006 Nelson, Sam 1 2005 Kei modules and unoriented link invariants. Zbl 1310.57024 Grier, Michael; Nelson, Sam 1 2014 Alexander quandles of order 16. Zbl 1420.57040 Murillo, Gabriel; Nelson, Sam 1 2008 Legendrian rack invariants of Legendrian knots. Zbl 1483.57001 Ceniceros, Jose; Elhamdadi, Mohamed; Nelson, Sam 1 2021 Quantum enhancements via tribracket brackets. Zbl 1457.57010 Aggarwal, Laira; Nelson, Sam; Rivera, Patricia 1 2021 Twisted virtual bikeigebras and twisted virtual handlebody-knots. Zbl 1497.57012 Nelson, Sam; Zhao, Yuqi 1 2022 Biquandle brackets and knotoids. Zbl 1493.57005 Gügümcü, Neslihan; Nelson, Sam; Oyamaguchi, Natsumi 1 2021 Twisted virtual biracks and their twisted virtual link invariants. Zbl 1262.57014 Ceniceros, Jessica; Nelson, Sam 1 2013 Encyclopedia of knot theory. Zbl 1468.57001 1 2021 Virtual links with finite medial bikei. Zbl 1426.57024 Chien, Julien; Nelson, Sam 1 2019 Twisted virtual bikeigebras and twisted virtual handlebody-knots. Zbl 1497.57012 Nelson, Sam; Zhao, Yuqi 1 2022 Cocycle enhancements of psyquandle counting invariants. Zbl 1467.57008 Ceniceros, Jose; Nelson, Sam 3 2021 Legendrian rack invariants of Legendrian knots. Zbl 1483.57001 Ceniceros, Jose; Elhamdadi, Mohamed; Nelson, Sam 1 2021 Quantum enhancements via tribracket brackets. Zbl 1457.57010 Aggarwal, Laira; Nelson, Sam; Rivera, Patricia 1 2021 Biquandle brackets and knotoids. Zbl 1493.57005 Gügümcü, Neslihan; Nelson, Sam; Oyamaguchi, Natsumi 1 2021 Encyclopedia of knot theory. Zbl 1468.57001 1 2021 Tribracket modules. Zbl 1440.57008 Needell, Deanna; Nelson, Sam; Shi, Yingqi 5 2020 Biquandle module invariants of oriented surface-links. Zbl 1441.57024 Joung, Yewon; Nelson, Sam 2 2020 Local biquandles and Niebrzydowski’s tribracket theory. Zbl 1415.57007 Nelson, Sam; Oshiro, Kanako; Oyamaguchi, Natsumi 11 2019 Psyquandles, singular knots and pseudoknots. Zbl 1452.57010 Nelson, Sam; Oyamaguchi, Natsumi; Sazdanovic, Radmila 11 2019 Virtual tribrackets. Zbl 1426.57029 Nelson, Sam; Pico, Shane 10 2019 Biquandle coloring invariants of knotoids. Zbl 1428.57004 Gügümcü, Neslihan; Nelson, Sam 10 2019 Quandle coloring quivers. Zbl 1420.57032 Cho, Karina; Nelson, Sam 8 2019 A survey of quantum enhancements. Zbl 1423.57016 Nelson, Sam 3 2019 Biquandle virtual brackets. Zbl 1436.57014 Nelson, Sam; Oshiro, Kanako; Shimizu, Ayaka; Yaguchi, Yoshiro 3 2019 Multi-tribrackets. Zbl 1440.57009 Nelson, Sam; Pauletich, Evan 3 2019 Quandle cocycle quivers. Zbl 1473.57007 Cho, Karina; Nelson, Sam 2 2019 Virtual links with finite medial bikei. Zbl 1426.57024 Chien, Julien; Nelson, Sam 1 2019 Biquasile colorings of oriented surface-links. Zbl 1383.57031 Kim, Jieon; Nelson, Sam 9 2018 Boltzmann enhancements of biquasile counting invariants. Zbl 1411.57023 Choi, Wonhyuk; Needell, Deanna; Nelson, Sam 7 2018 Niebrzydowski algebras and trivalent spatial graphs. Zbl 1406.57010 Graves, Paige; Nelson, Sam; Tamagawa, Sherilyn 6 2018 Quasi-trivial quandles and biquandles, cocycle enhancements and link-homotopy of pretzel links. Zbl 1479.57022 Elhamdadi, Mohamed; Liu, Minghui; Nelson, Sam 4 2018 Erratum to: “Singular knots and involutive quandles”. Zbl 1440.57012 Churchill, Indu R. U.; Elhamdadi, Mohamed; Hajij, Mustafa; Nelson, Sam 2 2018 Singular knots and involutive quandles. Zbl 1427.57005 Churchill, Indu R. U.; Elhamdadi, Mohamed; Hajij, Mustafa; Nelson, Sam 15 2017 Biquasiles and dual graph diagrams. Zbl 1372.57030 Needell, Deanna; Nelson, Sam 14 2017 Quantum enhancements and biquandle brackets. Zbl 1396.57023 Nelson, Sam; Orrison, Michael E.; Rivera, Veronica 13 2017 Trace diagrams and biquandle brackets. Zbl 1422.57040 Nelson, S.; Oyamaguchi, N. 7 2017 Partially multiplicative biquandles and handlebody-knots. Zbl 1387.57026 Ishii, Atsushi; Nelson, Sam 6 2017 Knots, links, spatial graphs, and algebraic invariants. AMS special session on algebraic and combinatorial structures in knot theory and AMS special session on spatial graphs, both held at the California State University, Fullerton, CA, USA, October 24–25, 2015. Proceedings. Zbl 1367.57003 4 2017 Bikei homology. Zbl 1387.57014 Nelson, Sam; Rosenfield, Jake 2 2017 Parity biquandle invariants of virtual knots. Zbl 1355.57011 Kaestner, Aaron; Nelson, Sam; Selker, Leo 4 2016 Lie ideal enhancements of counting invariants. Zbl 1357.57035 Grindstaff, Gillian Roxanne; Nelson, Sam 3 2016 What is …a quandle? Zbl 1338.57001 Nelson, Sam 3 2016 Quotient quandles and the fundamental Latin Alexander quandle. Zbl 1355.57014 Nelson, Sam; Tamagawa, Sherilyn 3 2016 Bikei invariants and Gauss diagrams for virtual knotted surfaces. Zbl 1345.57024 Nelson, Sam; Rivera, Patricia 2 2016 Quandles. An introduction to the algebra of knots. Zbl 1332.57007 Elhamdadi, Mohamed; Nelson, Sam 98 2015 Augmented biracks and their homology. Zbl 1306.57010 Ceniceros, Jose; Elhamdadi, Mohamed; Green, Matthew; Nelson, Sam 15 2014 Hom quandles. Zbl 1295.57007 Crans, Alissa S.; Nelson, Sam 8 2014 Quantum enhancements of involutory birack counting invariants. Zbl 1315.57020 Nelson, Sam; Rivera, Veronica 4 2014 Link invariants from finite racks. Zbl 1297.57018 Nelson, Sam 4 2014 Link invariants from finite biracks. Zbl 1288.57009 Nelson, Sam 3 2014 Polynomial birack modules. Zbl 1298.57008 Cody, Evan; Nelson, Sam 2 2014 Kei modules and unoriented link invariants. Zbl 1310.57024 Grier, Michael; Nelson, Sam 1 2014 Polynomial knot and link invariants from the virtual biquandle. Zbl 1270.57040 Crans, Alissa S.; Henrich, Allison; Nelson, Sam 9 2013 Birack dynamical cocycles and homomorphism invariants. Zbl 1310.57017 Nelson, Sam; Watterberg, Emily 4 2013 Birack modules and their link invariants. Zbl 1290.57018 Bauernschmidt, Regina; Nelson, Sam 4 2013 Birack shadow modules and their link invariants. Zbl 1317.57011 Nelson, Sam; Pelland, Katie 3 2013 Twisted virtual biracks and their twisted virtual link invariants. Zbl 1262.57014 Ceniceros, Jessica; Nelson, Sam 1 2013 Bikei, involutory biracks and unoriented link invariants. Zbl 1248.57008 Aksoy, Sinan; Nelson, Sam 6 2012 Rack module enhancements of counting invariants. Zbl 1245.57009 Haas, Aaron; Heckel, Garret; Nelson, Sam; Yuen, Jonah; Zhang, Qingcheng 5 2012 \((t, s)\)-racks and their link invariants. Zbl 1251.57013 Ceniceros, Jessica; Nelson, Sam 2 2012 The column group and its link invariants. Zbl 1244.57025 Hennig, Johanna; Nelson, Sam 2 2012 \(N\)-degeneracy in rack homology and link invariants. Zbl 1310.57022 Elhamdadi, Mohamed; Nelson, Sam 2 2012 Virtual shadow modules and their link invariants. Zbl 1252.57006 Blankstein, Jackson; Kim, Susan; Lepel, Catherine; Nelson, Sam; Sanderson, Nicole 1 2012 Enhancements of rack counting invariants via dynamical cocycles. Zbl 1257.57015 Crans, Alissa S.; Nelson, Sam; Sarkar, Aparna 1 2012 The combinatorial revolution in knot theory. Zbl 1247.57004 Nelson, Sam 24 2011 Generalized quandle polynomials. Zbl 1257.57019 Nelson, Sam 6 2011 Rack shadows and their invariants. Zbl 1238.57015 Chang, Wesley; Nelson, Sam 6 2011 On rack polynomials. Zbl 1260.57005 Carrell, Tim; Nelson, Sam 2 2011 Link invariants from finite Coxeter racks. Zbl 1238.57012 Nelson, Sam; Wieghard, Ryan 1 2011 Semiquandles and flat virtual knots. Zbl 1207.57014 Henrich, Allison; Nelson, Sam 7 2010 Virtual Yang-Baxter cocycle invariants. Zbl 1182.57006 Ceniceros, Jose; Nelson, Sam 16 2009 An isomorphism theorem for Alexander biquandles. Zbl 1420.57039 Lam, Daisy; Nelson, Sam 3 2009 Erratum: Alexander quandles of order 16. Zbl 1176.57011 Murillo, Gabriel; Nelson, Sam 2 2009 A polynomial invariant of finite quandles. Zbl 1152.57015 Nelson, Sam 10 2008 The 2-generalized knot group determines the knot. Zbl 1176.57012 Nelson, Sam; Neumann, Walter D. 6 2008 On symplectic quandles. Zbl 1168.57011 Navas, Esteban Adam; Nelson, Sam 4 2008 On generalized knot groups. Zbl 1156.57008 Lin, Xiao-Song; Nelson, Sam 4 2008 On bilinear biquandles. Zbl 1186.57011 Nelson, Sam; Rische, Jacquelyn L. 3 2008 Alexander quandles of order 16. Zbl 1420.57040 Murillo, Gabriel; Nelson, Sam 1 2008 Matrices and finite Alexander quandles. Zbl 1152.57014 Murillo, Gabriel; Nelson, Sam; Thompson, Anthony 6 2007 Quandles and linking number. Zbl 1158.57014 Harrell, Natasha; Nelson, Sam 5 2007 Symbolic computation with finite biquandles. Zbl 1139.57010 Creel, Conrad; Nelson, Sam 4 2007 On the orbit decomposition of finite quandles. Zbl 1105.57006 Nelson, Sam; Wong, Chau-Yim 21 2006 Matrices and finite biquandles. Zbl 1111.57009 Nelson, Sam; Vo, John 15 2006 Symbolic computation with finite quandles. Zbl 1125.68141 Henderson, Richard; Macedo, Todd; Nelson, Sam 11 2006 Matrices and finite quandles. Zbl 1102.57008 Ho, Benita; Nelson, Sam 24 2005 Virtual crossing realization. Zbl 1085.57007 Nelson, Sam 2 2005 Signed ordered knotlike quandle presentations. Zbl 1085.57006 Nelson, Sam 1 2005 The Betti numbers of some finite racks. Zbl 1017.55014 Litherland, R. A.; Nelson, Sam 48 2003 Classification of finite Alexander quandles. Zbl 1066.57019 Nelson, Sam 15 2003 Unknotting virtual knots with Gauss diagram forbidden moves. Zbl 0997.57016 Nelson, Sam 51 2001 all cited Publications top 5 cited Publications all top 5 Cited by 360 Authors 63 Nelson, Sam 35 Elhamdadi, Mohamed 12 Bardakov, Valeriĭ Georgievich 12 Lebed, Victoria 12 Przytycki, Józef Henryk 11 Ceniceros, Jose 10 Oshiro, Kanako 10 Singh, Mahender 9 Churchill, Indu R. U. 9 Kauffman, Louis Hirsch 9 Pilitowska, Agata 9 Zamojska-Dzienio, Anna 8 Jedlička, Přemysl 8 Niebrzydowski, Maciej 8 Saito, Masahico 8 Vendramin, Leandro 7 Bonatto, Marco 7 Gügümcü, Neslihan 7 Kamada, Seiichi 7 Kim, Jieon 7 Stanovský, David 6 Bae, Yongju 6 Cheng, Zhiyun 6 Hajij, Mustafa 6 Nosaka, Takefumi 6 Vojtěchovský, Petr 5 Crans, Alissa S. 5 Manturov, Vassiliĭ Olegovich 5 Nasybullov, Timur Rinatovich 5 Oyamaguchi, Natsumi 5 Satoh, Shin 5 Wada, Kodai 5 Yang, Seung Yeop 5 Zappala, Emanuele 4 Abchir, Hamid 4 Bataineh, Khaled 4 Farinati, Marco Andrés 4 Horvat, Eva 4 Isere, Abednego Orobosa 4 Ishii, Atsushi 4 Ishikawa, Katsumi 4 Lambropoulou, Sofia S. F. 4 Nikonov, Igor Mikhailovich 4 Sakurai, Migiwa 4 Yasuhara, Akira 3 Bartholomew, Andrew 3 Boden, Hans U. 3 Carter, J. Scott 3 Chrisman, Micah Whitney 3 Gao, Hongzhu 3 García Galofre, Juliana 3 Gill, Amrendra 3 Jeong, Myeong-Ju 3 Kanenobu, Taizo 3 Kim, Seongjeong 3 Korablev, Philipp Glebovich 3 Makhlouf, Abdenacer 3 Miyazawa, Haruko Aida 3 Murao, Tomo 3 Nakanishi, Yasutaka 3 Needell, Deanna 3 Tanaka, Kokoro 2 Abid, Fatima-Ezzahrae 2 Adams, Colin C. 2 Ali, Danish 2 Boucetta, Mohamed 2 Brooke-Taylor, Andrew D. 2 Catino, Francesco 2 Cho, Karina 2 Choi, Seonmi 2 Clark, W. Edwin 2 Dehornoy, Patrick 2 Dye, Heather Ann 2 Fedoseev, Denis Aleksandrovich 2 Fenn, Roger A. 2 Fernando, Neranga 2 Ganzell, Sandy 2 Gaudreau, Robin 2 Graña, Matías 2 Hayashi, Chuichiro 2 Hou, Xiang-Dong 2 Ichihara, Kazuhiro 2 Il’yutko, Denis Petrovich 2 Inoue, Ayumu 2 Iwakiri, Masahide 2 Jeong, Suhyeon 2 Joung, Yewon 2 Kaestner, Aaron M. 2 Kaur, Kirandeep 2 Kim, Byeorhi 2 Lamsifer, Soukaina 2 Lee, Sang Youl 2 López-Permouth, Sergio Roberto 2 Madeti, Prabhakar 2 Mashaghi, Alireza 2 Matsuzaki, Shosaku 2 Mikhalchishina, Yuliya A. 2 Miller, Sheila K. 2 Mochizuki, Takuro 2 Moutuou, El-Kaïoum M. ...and 260 more Authors all top 5 Cited in 72 Serials 135 Journal of Knot Theory and its Ramifications 28 Topology and its Applications 15 Journal of Pure and Applied Algebra 12 Journal of Algebra and its Applications 11 Journal of Algebra 10 International Journal of Mathematics 9 Communications in Algebra 8 Transactions of the American Mathematical Society 7 Algebraic & Geometric Topology 6 Fundamenta Mathematicae 6 Osaka Journal of Mathematics 5 Mediterranean Journal of Mathematics 4 Mathematics of Computation 4 Journal of the Mathematical Society of Japan 4 Kyungpook Mathematical Journal 4 Monatshefte für Mathematik 4 Involve 3 Journal of Mathematical Physics 3 Proceedings of the American Mathematical Society 3 Journal of Symbolic Computation 3 International Journal of Algebra and Computation 2 Advances in Mathematics 2 Algebra Universalis 2 Geometriae Dedicata 2 Mathematische Zeitschrift 2 Pacific Journal of Mathematics 2 Siberian Mathematical Journal 2 European Journal of Combinatorics 2 Bulletin of the Korean Mathematical Society 2 Journal of the Nigerian Mathematical Society 2 Experimental Mathematics 2 The Electronic Journal of Combinatorics 2 Journal of Mathematical Chemistry 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Homotopy and Related Structures 2 Open Mathematics 1 Communications in Mathematical Physics 1 Houston Journal of Mathematics 1 Israel Journal of Mathematics 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Demonstratio Mathematica 1 Hiroshima Mathematical Journal 1 Journal of Combinatorial Theory. Series A 1 Journal of the Korean Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Tokyo Journal of Mathematics 1 Order 1 Extracta Mathematicae 1 Publicacions Matemàtiques 1 Sugaku Expositions 1 Linear Algebra and its Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Archive for Mathematical Logic 1 Russian Mathematics 1 Journal of Mathematical Sciences (New York) 1 Selecta Mathematica. New Series 1 Communications of the Korean Mathematical Society 1 Communications in Contemporary Mathematics 1 Journal of the Australian Mathematical Society 1 Hacettepe Journal of Mathematics and Statistics 1 International Journal of Quantum Information 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Ars Mathematica Contemporanea 1 Bulletin of Mathematical Sciences 1 International Journal of Group Theory 1 Mathematics for Applications 1 Arnold Mathematical Journal 1 European Journal of Mathematics 1 Journal of Combinatorial Algebra 1 Graduate Journal of Mathematics all top 5 Cited in 27 Fields 317 Manifolds and cell complexes (57-XX) 93 Group theory and generalizations (20-XX) 42 Associative rings and algebras (16-XX) 35 Algebraic topology (55-XX) 24 Nonassociative rings and algebras (17-XX) 20 Category theory; homological algebra (18-XX) 14 Combinatorics (05-XX) 12 Quantum theory (81-XX) 10 General algebraic systems (08-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 5 Topological groups, Lie groups (22-XX) 5 Computer science (68-XX) 5 Biology and other natural sciences (92-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Geometry (51-XX) 3 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 \(K\)-theory (19-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year