Edit Profile (opens in new tab) Falcón Ganfornina, Raúl Manuel Co-Author Distance Author ID: falcon.raul-m Published as: Falcón, Raúl M.; Falcón, R. M.; Falcón Ganfornina, R. M.; Falcón Ganfornina, Raúl M.; Ganfornina, Raúl M. Falcón; Falćon, Raúl M.; Falcón, Raúl more...less Homepage: http://personales.us.es/raufalgan/ External Links: MGP · ORCID · arXiv · Google Scholar · ResearchGate · dblp Documents Indexed: 64 Publications since 2001, including 1 Book and 6 Additional arXiv Preprints Reviewing Activity: 35 Reviews Co-Authors: 36 Co-Authors with 52 Joint Publications 704 Co-Co-Authors all top 5 Co-Authors 12 single-authored 21 Núñez-Valdés, Juan 10 Falcón Ganfornina, Óscar Jesús 7 Stones, Rebecca J. 7 Venkatachalam, Mathiyazhagan 6 Alvarez, Victor 6 Gudiel, Félix 5 Frau, María Dolores 4 Armario, José ándrés 4 Marbach, Trent Gregory 4 Nandini, Gnanasekaran 3 Andres, Stephan Dominique 3 Gowri, Sathasivam 3 Güemes, Maria Belén 2 Ali, Shahbaz 2 Danan, Eiran 2 Deepa, Thangavelu 2 Kotlar, Dani 2 Kotlar, Daniel 2 Martín-Morales, Jorge 2 Osuna, Amparo 2 Pacheco, Ana María 2 Tenorio, Ángel F. 2 Villar, Maria Trinidad 1 Aparna, Venkitachalam 1 Barrena, Eva 1 Bergold, Helena 1 Canca, David 1 Cavenagh, Nicholas J. 1 Ceballos, Manuel 1 Güemes, B. 1 Laporte, Gilbert 1 Mahmmod, Muhammad Khalid 1 Mahmood, Muhammad Khalid 1 Margaret, S. Julie 1 Mohanapriya, Nagaraj 1 Perkins, Stephanie all top 5 Serials 5 AIMS Mathematics 3 Discrete Mathematics 2 Discrete Applied Mathematics 2 Mathematical Methods in the Applied Sciences 2 Results in Mathematics 2 European Journal of Combinatorics 2 Journal of Symbolic Computation 2 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 2 Nonlinear Functional Analysis and Applications 2 Mathematics in Computer Science 1 International Journal of Mathematical Education in Science and Technology 1 Hadronic Journal 1 Applied Mathematics and Computation 1 Ars Combinatoria 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Quaestiones Mathematicae 1 Revista de la Unión Matemática Argentina 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Expositiones Mathematicae 1 Algebras, Groups and Geometries 1 The Electronic Journal of Combinatorics 1 Advances in Computational Mathematics 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Quasigroups and Related Systems 1 La Gaceta de la Real Sociedad Matemática Española 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 Journal of Dynamical Systems and Geometric Theories 1 Bulletin of the Brazilian Mathematical Society. New Series 1 ACM Journal of Experimental Algorithmics 1 Networks and Heterogeneous Media 1 Discrete Mathematics, Algorithms and Applications 1 Symmetry 1 Electronic Research Archive all top 5 Fields 47 Combinatorics (05-XX) 13 Nonassociative rings and algebras (17-XX) 9 Group theory and generalizations (20-XX) 9 Computer science (68-XX) 5 Commutative algebra (13-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 203 times in 69 Documents Cited by ▼ Year ▼ The set of autotopisms of partial Latin squares. Zbl 1277.05024 Falcón, R. M. 19 2013 Gröbner bases and the number of Latin squares related to autotopisms of order \(\leq 7\). Zbl 1129.05007 Falcón, R. M.; Martín-Morales, J. 15 2007 Classification of asexual diploid organisms by means of strongly isotopic evolution algebras defined over any field. Zbl 1407.17041 Falcón, O. J.; Falcón, R. M.; Núñez, J. 15 2017 Classifying partial Latin rectangles. Zbl 1346.05021 Falcón, Raúl M.; Stones, Rebecca J. 13 2015 Cycle structures of autotopisms of the Latin squares of order up to 11. Zbl 1265.05077 Falcón, R. M. 13 2012 Partial Latin rectangle graphs and autoparatopism groups of partial Latin rectangles with trivial autotopism groups. Zbl 1422.05027 Falcón, Raúl M.; Stones, Rebecca J. 12 2017 Latin squares associated to principal autotopisms of long cycles. Application in cryptography. Zbl 1203.05022 Ganfornina, Raúl M. Falcón 11 2006 Enumeration and classification of self-orthogonal partial Latin rectangles by using the polynomial method. Zbl 1315.05023 Falcón, Raúl M. 9 2015 Algebraic computation of genetic patterns related to three-dimensional evolution algebras. Zbl 1430.13048 Falcón, O. J.; Falcón, R. M.; Núñez, J. 8 2018 Study of critical sets in Latin squares by using the autotopism group. Zbl 1341.05018 Falcón, R. M. 5 2007 A computational algebraic geometry approach to enumerate Malcev magma algebras over finite fields. Zbl 1401.17024 Falcón, Óscar J.; Falcón, Raúl M.; Núñez, Juan 5 2016 A historical perspective of the theory of isotopisms. Zbl 1423.17018 Falcón, Raúl M.; Falcón, Óscar J.; Núñez, Juan 5 2018 On the \(r\)-dynamic coloring of subdivision-edge coronas of a path. Zbl 1484.05076 Nandini, G.; Venkatachalam, M.; Falcón, Raúl M. 5 2020 On the \(r\)-dynamic coloring of the direct product of a path with either a path or a cycle. Zbl 1484.05065 Deepa, T.; Venkatachalam, M.; Falcón, Raúl M. 5 2020 A historical perspective of Tian’s evolution algebras. Zbl 1503.17032 Ceballos, Manuel; Falcón, Raúl M.; Núñez-Valdés, Juan; Tenorio, Ángel F. 5 2022 Enumerating partial Latin rectangles. Zbl 1443.05026 Falcón, Raúl M.; Stones, Rebecca J. 5 2020 Colouring games based on autotopisms of Latin hyper-rectangles. Zbl 1420.05114 Andres, Stephan Dominique; Falcón, Raúl M. 5 2019 Two-line graphs of partial Latin rectangles. Zbl 1397.05027 Danan, Eiran; Falcón, Raúl M.; Kotlar, Dani; Marbach, Trent G.; Stones, Rebecca J. 5 2018 Counting and enumerating partial Latin rectangles by means of computer algebra systems and CSP solvers. Zbl 1409.05039 Falcón, Raúl M.; Falcón, Óscar J.; Núñez, Juan 5 2018 Partial Latin squares having a Santilli’s autotopism in their autotopism groups. Zbl 1133.05014 Falcón, R. M.; Núñez, J. 4 2007 On the \(r\)-dynamic coloring of the direct product of a path with either a complete graph or a wheel graph. Zbl 1484.05064 Deepa, T.; Falcón, Raúl M.; Venkatachalam, M. 4 2021 Refining invariants for computing autotopism groups of partial Latin rectangles. Zbl 1435.05037 Danan, Eiran; Falcón, Raúl M.; Kotlar, Dani; Marbach, Trent G.; Stones, Rebecca J. 4 2020 Autoparatopism stabilized colouring games on rook’s graphs. Zbl 1397.05115 Andres, Stephan Dominique; Bergold, Helena; Falcón, Raúl M. 4 2018 Isomorphism and isotopism classes of filiform Lie algebras of dimension up to seven over finite fields. Zbl 1400.17011 Falcón, O. J.; Falcón, R. M.; Núñez, J. 3 2017 Isotopism and isomorphism classes of certain Lie algebras over finite fields. Zbl 1400.17010 Falcón, O. J.; Falcón, R. M.; Núñez, J. 3 2017 A computational algebraic geometry approach to analyze pseudo-random sequences based on Latin squares. Zbl 1421.05025 Falcón, Raúl M.; Álvarez, Víctor; Gudiel, Félix 3 2019 Computing autotopism groups of partial Latin rectangles. Zbl 1525.05016 Stones, Rebecca J.; Falcón, Raúl M.; Kotlar, Daniel; Marbach, Trent G. 2 2020 Using a CAS/DGS to analyze computationally the configuration of planar bar linkage mechanisms based on partial Latin squares. Zbl 1455.05014 Falcón, Raúl M. 2 2020 Autotopism stabilized colouring games on rook’s graphs. Zbl 1464.05264 Falcón, Raúl M.; Andres, Stephan Dominique 2 2019 Generating binary partial Hadamard matrices. Zbl 1414.05059 Álvarez, V.; Armario, J. A.; Falcón, R. M.; Frau, M. D.; Gudiel, F.; Güemes, M. B.; Osuna, A. 2 2019 Gröbner bases and cocyclic Hadamard matrices. Zbl 1396.13024 Álvarez, Víctor; Armario, José Andrés; Falcón, Raúl M.; Frau, María Dolores; Gudiel, Félix 1 2018 A paradigmatic approach to investigate restricted hyper totient graphs. Zbl 1525.05164 Ali, Shahbaz; Mahmmod, Muhammad Khalid; Falcón, Raúl M. 1 2021 On the \(r\)-dynamic coloring of some fan graph families. Zbl 1524.05104 Falćon, Raúl M.; Venkatachalam, M.; Gowri, S.; Nandini, G. 1 2021 Counting and enumerating feasible rotating schedules by means of Gröbner bases. Zbl 07313654 Falcón, Raúl; Barrena, Eva; Canca, David; Laporte, Gilbert 1 2016 A new quasigroup isomorphism invariant arising from fractal image patterns. Zbl 1493.05043 Falcón, Raúl M. 1 2022 A historical perspective of Tian’s evolution algebras. Zbl 1503.17032 Ceballos, Manuel; Falcón, Raúl M.; Núñez-Valdés, Juan; Tenorio, Ángel F. 5 2022 A new quasigroup isomorphism invariant arising from fractal image patterns. Zbl 1493.05043 Falcón, Raúl M. 1 2022 On the \(r\)-dynamic coloring of the direct product of a path with either a complete graph or a wheel graph. Zbl 1484.05064 Deepa, T.; Falcón, Raúl M.; Venkatachalam, M. 4 2021 A paradigmatic approach to investigate restricted hyper totient graphs. Zbl 1525.05164 Ali, Shahbaz; Mahmmod, Muhammad Khalid; Falcón, Raúl M. 1 2021 On the \(r\)-dynamic coloring of some fan graph families. Zbl 1524.05104 Falćon, Raúl M.; Venkatachalam, M.; Gowri, S.; Nandini, G. 1 2021 On the \(r\)-dynamic coloring of subdivision-edge coronas of a path. Zbl 1484.05076 Nandini, G.; Venkatachalam, M.; Falcón, Raúl M. 5 2020 On the \(r\)-dynamic coloring of the direct product of a path with either a path or a cycle. Zbl 1484.05065 Deepa, T.; Venkatachalam, M.; Falcón, Raúl M. 5 2020 Enumerating partial Latin rectangles. Zbl 1443.05026 Falcón, Raúl M.; Stones, Rebecca J. 5 2020 Refining invariants for computing autotopism groups of partial Latin rectangles. Zbl 1435.05037 Danan, Eiran; Falcón, Raúl M.; Kotlar, Dani; Marbach, Trent G.; Stones, Rebecca J. 4 2020 Computing autotopism groups of partial Latin rectangles. Zbl 1525.05016 Stones, Rebecca J.; Falcón, Raúl M.; Kotlar, Daniel; Marbach, Trent G. 2 2020 Using a CAS/DGS to analyze computationally the configuration of planar bar linkage mechanisms based on partial Latin squares. Zbl 1455.05014 Falcón, Raúl M. 2 2020 Colouring games based on autotopisms of Latin hyper-rectangles. Zbl 1420.05114 Andres, Stephan Dominique; Falcón, Raúl M. 5 2019 A computational algebraic geometry approach to analyze pseudo-random sequences based on Latin squares. Zbl 1421.05025 Falcón, Raúl M.; Álvarez, Víctor; Gudiel, Félix 3 2019 Autotopism stabilized colouring games on rook’s graphs. Zbl 1464.05264 Falcón, Raúl M.; Andres, Stephan Dominique 2 2019 Generating binary partial Hadamard matrices. Zbl 1414.05059 Álvarez, V.; Armario, J. A.; Falcón, R. M.; Frau, M. D.; Gudiel, F.; Güemes, M. B.; Osuna, A. 2 2019 Algebraic computation of genetic patterns related to three-dimensional evolution algebras. Zbl 1430.13048 Falcón, O. J.; Falcón, R. M.; Núñez, J. 8 2018 A historical perspective of the theory of isotopisms. Zbl 1423.17018 Falcón, Raúl M.; Falcón, Óscar J.; Núñez, Juan 5 2018 Two-line graphs of partial Latin rectangles. Zbl 1397.05027 Danan, Eiran; Falcón, Raúl M.; Kotlar, Dani; Marbach, Trent G.; Stones, Rebecca J. 5 2018 Counting and enumerating partial Latin rectangles by means of computer algebra systems and CSP solvers. Zbl 1409.05039 Falcón, Raúl M.; Falcón, Óscar J.; Núñez, Juan 5 2018 Autoparatopism stabilized colouring games on rook’s graphs. Zbl 1397.05115 Andres, Stephan Dominique; Bergold, Helena; Falcón, Raúl M. 4 2018 Gröbner bases and cocyclic Hadamard matrices. Zbl 1396.13024 Álvarez, Víctor; Armario, José Andrés; Falcón, Raúl M.; Frau, María Dolores; Gudiel, Félix 1 2018 Classification of asexual diploid organisms by means of strongly isotopic evolution algebras defined over any field. Zbl 1407.17041 Falcón, O. J.; Falcón, R. M.; Núñez, J. 15 2017 Partial Latin rectangle graphs and autoparatopism groups of partial Latin rectangles with trivial autotopism groups. Zbl 1422.05027 Falcón, Raúl M.; Stones, Rebecca J. 12 2017 Isomorphism and isotopism classes of filiform Lie algebras of dimension up to seven over finite fields. Zbl 1400.17011 Falcón, O. J.; Falcón, R. M.; Núñez, J. 3 2017 Isotopism and isomorphism classes of certain Lie algebras over finite fields. Zbl 1400.17010 Falcón, O. J.; Falcón, R. M.; Núñez, J. 3 2017 A computational algebraic geometry approach to enumerate Malcev magma algebras over finite fields. Zbl 1401.17024 Falcón, Óscar J.; Falcón, Raúl M.; Núñez, Juan 5 2016 Counting and enumerating feasible rotating schedules by means of Gröbner bases. Zbl 07313654 Falcón, Raúl; Barrena, Eva; Canca, David; Laporte, Gilbert 1 2016 Classifying partial Latin rectangles. Zbl 1346.05021 Falcón, Raúl M.; Stones, Rebecca J. 13 2015 Enumeration and classification of self-orthogonal partial Latin rectangles by using the polynomial method. Zbl 1315.05023 Falcón, Raúl M. 9 2015 The set of autotopisms of partial Latin squares. Zbl 1277.05024 Falcón, R. M. 19 2013 Cycle structures of autotopisms of the Latin squares of order up to 11. Zbl 1265.05077 Falcón, R. M. 13 2012 Gröbner bases and the number of Latin squares related to autotopisms of order \(\leq 7\). Zbl 1129.05007 Falcón, R. M.; Martín-Morales, J. 15 2007 Study of critical sets in Latin squares by using the autotopism group. Zbl 1341.05018 Falcón, R. M. 5 2007 Partial Latin squares having a Santilli’s autotopism in their autotopism groups. Zbl 1133.05014 Falcón, R. M.; Núñez, J. 4 2007 Latin squares associated to principal autotopisms of long cycles. Application in cryptography. Zbl 1203.05022 Ganfornina, Raúl M. Falcón 11 2006 all cited Publications top 5 cited Publications all top 5 Cited by 90 Authors 28 Falcón Ganfornina, Raúl Manuel 12 Stones, Rebecca J. 10 Núñez-Valdés, Juan 6 Cabrera Casado, Yolanda 6 Cadavid, Paula 6 Falcón Ganfornina, Óscar Jesús 5 Rodríguez, Pablo M. 4 Marbach, Trent Gregory 4 Martín Barquero, Dolores 4 Martín González, Cándido 4 Venkatachalam, Mathiyazhagan 3 Andres, Stephan Dominique 3 Paniello, Irene 3 Rodiño Montoya, Mary Luz 3 Wanless, Ian M. 2 Alvarez, Victor 2 Cardoso Gonçalves, Maria Inez 2 Danan, Eiran 2 Deepa, Thangavelu 2 Fernández-Ternero, Desamparados 2 Goldberger, Assaf 2 Gómez-Sousa, Víctor M. 2 Gonçalves, Daniel 2 Gowri, Sathasivam 2 Gudiel, Félix 2 Kotlar, Dani 2 Kotlar, Daniel 2 Lin, Sheng 2 Liu, Xiaoguang 2 Nandini, Gnanasekaran 2 Siles Molina, Mercedes 2 Vidal, Sebastian J. 2 Wang, Gang 1 Ali, Shahbaz 1 Aparna, Venkitachalam 1 Armario, José ándrés 1 Bergold, Helena 1 Best, Darcy 1 Borisova, Ludmilla R. 1 Cai, Yingying 1 Calderón Martín, Antonio Jesús 1 Cangul, Ismail Naci 1 Ceballos, Manuel 1 Chen, Fei 1 Chen, Ye 1 Escobar, José María 1 Fan, Suohai 1 Fernández Ouaridi, Amir 1 Frau, María Dolores 1 Gao, Lijun 1 Glizburg, Vita I. 1 Güemes, Maria Belén 1 Inoue, Shutaro 1 Kanuni, Müge 1 Kattan, Doha A. 1 Kaygorodov, Ivan 1 Kletzander, Lucas 1 Kotsireas, Ilias S. 1 Ladra González, Manuel 1 Lai, Hong-Jian 1 Liu, Fei 1 Liu, Yonghong 1 Luan, Xiaoli 1 Mahmmod, Muhammad Khalid 1 Mateen, M. Haris 1 Mendis, Mahamendige Jayama Lalani 1 Mohanapriya, Nagaraj 1 Murodov, Sherzod Normonovich 1 Musliu, Nysret 1 Nabeshima, Katsusuke 1 Omirov, Bakhrom A. 1 Pacheco, Ana María 1 Pchelintsev, Sergeĭ Valentinovich 1 Pérez-Fernández, Pedro 1 Perkins, Stephanie 1 Reis, Tiago B. S. 1 Rozikov, Utkir A. 1 Sakai, Kô 1 Sato, Yosuke 1 Smith-Miles, Kate A. 1 Smith, Jonathan Dallas Hayden 1 Strassler, Yossi 1 Su, Ming 1 Suzuki, Akira 1 Tenorio, Ángel F. 1 Tocino, Alicia 1 Velasco, Maria Victoria 1 Villar, Maria Trinidad 1 Vojtěchovský, Petr 1 Xu, Murong all top 5 Cited in 45 Serials 5 Discrete Mathematics 4 AIMS Mathematics 3 Linear and Multilinear Algebra 3 Journal of Algebra and its Applications 3 Mathematics in Computer Science 2 Discrete Applied Mathematics 2 Results in Mathematics 2 European Journal of Combinatorics 2 Circuits, Systems, and Signal Processing 2 Designs, Codes and Cryptography 2 Linear Algebra and its Applications 2 Journal of Algebraic Combinatorics 2 Journal of Combinatorial Designs 1 Communications in Algebra 1 International Journal of Mathematical Education in Science and Technology 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Algebra Universalis 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Journal of Pure and Applied Algebra 1 Mathematica Slovaca 1 Quaestiones Mathematicae 1 Revista de la Unión Matemática Argentina 1 Siberian Mathematical Journal 1 Advances in Applied Mathematics 1 Graphs and Combinatorics 1 Journal of Symbolic Computation 1 Expositiones Mathematicae 1 Journal of Mathematical Sciences (New York) 1 The Electronic Journal of Combinatorics 1 Advances in Computational Mathematics 1 Annals of Mathematics and Artificial Intelligence 1 Séminaire Lotharingien de Combinatoire 1 Hacettepe Journal of Mathematics and Statistics 1 ACM Journal of Experimental Algorithmics 1 Mediterranean Journal of Mathematics 1 Networks and Heterogeneous Media 1 Asian-European Journal of Mathematics 1 Discrete Mathematics, Algorithms and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Symmetry 1 Journal of Applied Mathematics & Informatics 1 Electronic Research Archive all top 5 Cited in 23 Fields 44 Combinatorics (05-XX) 27 Nonassociative rings and algebras (17-XX) 7 Computer science (68-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 3 Number theory (11-XX) 3 Associative rings and algebras (16-XX) 3 Group theory and generalizations (20-XX) 3 Probability theory and stochastic processes (60-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Information and communication theory, circuits (94-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Systems theory; control (93-XX) 1 General algebraic systems (08-XX) 1 \(K\)-theory (19-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Citations by Year