Our colleague, Prof. Nicolas Sanhueza Matamala, will be an invited speaker at the 2nd Brazilian School of Combinatorics (EBC) at IMPA in Rio de Janeiro, taking place from March 10-14, 2025. [Read More]

The Aix-Marseille University was where Professor Anahí Gajardo chose to spend a research semester from February to July 2024. There, she worked organizing a thematic month dedicated to groups, complexity, dynamics, and word combinatorics. She also led several vulgarization activities and gave talks about her research at several French mathematics laboratories.

About Us

Our research group is composed of five professors from the Universidad de Concepción. We are affiliated with the Mathematical Engineering and Computer Science Departments, and our work spans a range of collaborative efforts across academic programs. We actively contribute to the undergraduate programs in Mathematical Engineering and Informatics and three postgraduate programs: the Master's in Computer Science, PhD in Applied Mathematics, and PhD in Computer Science.

Our work covers a broad range of topics within discrete mathematics, with particular emphasis on Boolean networks, combinatorics, and discrete dynamical systems. We investigate the structural and dynamic properties of Boolean networks, exploring their applications in various complex systems. In combinatorics, our work delves into extremal, structural, and probabilistic aspects of discrete structures such as graphs, aiming to uncover fundamental properties and develop efficient algorithms to solve combinatorial problems. Additionally, we study discrete dynamical systems, analyzing how they evolve and their implications for broader mathematical and applied contexts.

Members

Julio Aracena Lucero

Doctor en Ciencias de la Ingeniería, Universidad de Chile, 2002

Research Interests
Discrete Mathematics, Complex Systems,

Anahí Gajardo Schulz

Doctor en Ciencias de la Ingeniería, Universidad de Chile, 2001

Research Interests
Discrete Dynamical Systems, Langton's ant,

Lilian Salinas Ayala

Doctor en Ciencias de la Ingeniería, Mención Modelación Matemática, Universidad de Chile, 2008

Research Interests
Boolean Networks, Complex Systems,

Nicolás Sanhueza Matamala

Doctor of Philosophy, University of Birmingham, 2020

Research Interests
Extremal Graph and Hypergraph Theory,

Christopher Thraves Caro

Doctor en Ciencias de la Ingeniería, Universidad de Chile, 2008

Research Interests
Discrete Optimization, Design and Analysis of Algorithms, Graph Theory,



Students

Name Title Date Program Status
Katerin Vanessa De La Hoz Luna Existencia e inferencia de redes Booleanas con restricciones 2024-08-21 - Doctorado en Ciencias de la Computación Inscrita
Diego Andrés Gatica Romero Implementación Modelo de Datos Multigranular basado en Reglas de Inferencias 2018-08-01 - 2019-06-05 Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática Terminada
Luis Emilio Cabrera Crot Estudio del operador bloque-secuencial en redes Booleanas. Aplicación al análisis de redes discretas 2018-03-05 - 2024-01-22 Doctorado en Ciencias de la Computación Terminada
Luis Miguel Gómez Guzmán Dinámica de Redes Discretas con Esquemas de Actualización Deterministas. Aplicación a las Redes de Regulación Genética 2012-11-16 - 2015-01-06 Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática Terminada
Rodrigo Ariel Torres Avilés Algunas Propiedades Dinámicas de Modelos de Máquinas Turing (Some Dynamical Properties of Turing Machine Dynamical Models) 2012-08-09 - 2016-01-08 Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática Terminada
Marco Montalva Medel Problemas de Conjuntos Recubridores de Ciclos y Comportamiento Dinámico en Redes Regulatorias (Feedback Set Problems and Dynamical Behavior in Regulatory Networks) 2008-03-01 - 2011-08-11 Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática Terminada
Name Title Date Program Status
Arturo Antonio Zapata Cortés Efecto del grafo de dinámica en las interacciones de redes Booleanas 2024-01-25 - Magíster en Ciencias de la Computación Inscrita
Catalina Fernanda Opazo Obregón Puntos fijos en redes Booleanas de consenso y polarizados 2024-01-25 - Magíster en Ciencias de la Computación Inscrita
Raúl Sebastián Astete Elguin Redes Booleanas k-independientes 2024-01-25 - 2024-07-10 Magíster en Ciencias de la Computación Terminada
Ignacio Javier Osorio Wallace Dimensión-VC en redes Booleanas disyuntivas 2022-07-11 - 2023-06-01 Magíster en Ciencias de la Computación Terminada
Felipe Alberto Glaria Grego Diseño e Implementación de Método de Comprensión de Grafos Basado en Clustering de Cliques Maximales (Compact Structure for Sparse Undirected Graphs Based on a Clique-graph Partition) 2018-08-01 - 2019-09-30 Magíster en Ciencias de la Computación Terminada
Eduardo Alfonso Palma Ávila Esquemas Parciales de Actualización en Redes Booleanas 2014-04-04 - 2015-03-18 Magíster en Ciencias de la Computación Terminada
Bruno Karelovic Burotto Estudio espacio-temporal de patrones en el modelamiento discreto de la dinámica delictual 2011-09-08 - 2012-12-10 Magíster en Ciencias de la Computación Terminada
Name Title Date Program Status
Vicente Pablo Ignacio Daza Echeverría Algoritmos Aleatorios para Sistemas Separadores 2023-08-02 - 2024-09-03 Ingeniería Civil Matemática Terminada
Victor Eliecer Cartes Vidal Switch Equivalencia en Multigrafos y Digrafos con Signo 2022-08-24 - 2024-01-24 Ingeniería Civil Matemática Terminada
Claudio Javier Mansilla Brito Discrepancia de ciclos Hamiltonianos en hipergrafos 3-uniformes 2022-08-12 - 2023-10-18 Ingeniería Civil Matemática Terminada
Álvaro Guzmán Chacón Criterio de selección para reducir el número de comparaciones de similitud genómica utilizando sketches 2022-08-12 - 2023-10-19 Ingeniería Civil Matemática Terminada
Ignacio Enrique Ortega Avilés Estimación de Poblaciones Sumergidas en Redes Sociales mediante Encuestas Indirectas 2022-03-14 - 2023-08-31 Ingeniería Civil Matemática Terminada
Bastián Ducumets Sánchez Condiciones mínimas para la emergencia de comunicación en un modelo evolutivo de agentes caracterizados por redes neuronales 2021-04-01 - 2022-04-07 Ingeniería Civil Matemática Terminada
Arturo Antonio Zapata Cortés Dinámicas hamiltonianas en redes booleanas 2021-03-01 - 2022-01-27 Ingeniería Civil Matemática Terminada
Katherinne Alejandra Tabilo Navarro Algoritmos de Recomendación aplicados en redes sociales 2020-09-01 - 2021-09-14 Ingeniería Civil Matemática Terminada
Isabel Donoso Leiva Estudio de la pre-expansividad en una familia de autómatas celulares en dimensión 2 2020-09-01 - 2021-04-07 Ingeniería Civil Matemática Terminada
Katerin Vanessa De La Hoz Luna Puntos fijos en redes booleanas regulatorias con digrafo de interacción intercíclico 2018-08-01 - 2020-12-09 Ingeniería Civil Matemática Terminada
Rosa Ines Becerra Ibarra Caracterización y reconocimiento de grafos signados con dibujo válido en un árbol. 2018-03-01 - 2018-07-31 Ingeniería Civil Matemática Terminada
Jorge Eduardo Ávila Cartes Diseño y análisis de algoritmos de encaminamiento en redes de comunicación con fallos 2017-03-01 - 2018-01-26 Ingeniería Civil Matemática Terminada
Felipe I. Benítez Ulloa Incrustación de Grafos con Signos en la Circunferencia 2016-03-07 - 2017-07-20 Ingeniería Civil Matemática Terminada
Ricardo de la Paz Guala Nodos congelados en puntos fijos de Redes Booleanas 2014-11-05 - 2015-12-04 Ingeniería Civil Matemática Terminada
Diego Maldonado Montiel Reversibilidad y complejidad de autómatas celulares 2014-04-30 - 2015-09-15 Ingeniería Civil Matemática Terminada
Bruno Karelovic Burotto Estudio de la estructura de grafos de disponibilidad léxica. 2009-04-22 - 2010-04-22 Ingeniería Civil Matemática Terminada
Luis Miguel Gómez Guzmán Robustez de Ciclos Dinámicos en Redes Booleanas. 2008-04-22 - 2009-04-22 Ingeniería Civil Matemática Terminada

Preprints

Code Authors Title Year PDF
2024-01Nicolás SANHUEZA-MATAMALA, Cristina G. FERNANDES, MOTA Guilherme OLIVEIRA, Separating path systems in complete graphs2024
2024-10Nicolás SANHUEZA-MATAMALA, Lyuben LICHEV, Vertex-separating path systems in random graphs2024
2024-11Nicolás SANHUEZA-MATAMALA, Simón PIGA, Mathias SCHACHT, The codegree Turán density of 3-uniform tight cycles2024
2024-13Matías PAVEZ-SIGNÉ, Nicolás SANHUEZA-MATAMALA, Richard LANG, Hiep HAN, Joao Pedro MARCIANO, Andrew TREGLOWN, Camila ZARATE-GUEREN, Colour-bias perfect matchings in hypergraphs 2024
2024-14Anahi GAJARDO, Victor LUTFALLA, Michael RAO, Ants on the highway2024
2024-17Julio ARACENA, Raúl ASTETE-ELGUIN, K-independent boolean networks2024
2024-18Julio ARACENA, Lilian SALINAS, Adrien RICHARD, Luis CABRERA-CROT, Dynamically equivalent disjunctive networks2024
2023-05Christopher THRAVES-CARO, Andrea JIMENEZ, Daniel QUIROZ, Totally odd immersions in line graphs 2023
2023-14Nicolás SANHUEZA-MATAMALA, Richard LANG, Felix JOOS, Robust Hamiltonicity2023
2022-06Julio ARACENA, Lilian SALINAS, Adrien RICHARD, Synchronizing Boolean networks asynchronously2022
2022-07Julio ARACENA, Lilian SALINAS, Luis GÓMEZ, Florian BRIDOUX, Complexity of limit cycles with block-sequential update schedules in conjunctive networks2022
2022-11Matías PAVEZ-SIGNÉ, Nicolás SANHUEZA-MATAMALA, Pedro ARAUJO, Ramsey numbers of cycles in random graphs2022
2022-12Matías PAVEZ-SIGNÉ, Nicolás SANHUEZA-MATAMALA, Simón PIGA, Ramsey numbers with prescribed rate of growth2022
2022-16Nicolás SANHUEZA-MATAMALA, Simón PIGA, Allan LO, Cycle decompositions in k-uniform hypergraphs2022
2022-19Matías PAVEZ-SIGNÉ, Nicolás SANHUEZA-MATAMALA, Maya STEIN, Dirac-type conditions for spanning bounded-degree hypertrees2022
2021-15Matías PAVEZ-SIGNÉ, Nicolás SANHUEZA-MATAMALA, Maya STEIN, Towards a hypergraph version of the Pósa-Seymour conjecture2021
2021-16Nicolás SANHUEZA-MATAMALA, Richard LANG, On sufficient conditions for Hamiltonicity in dense graphs2021
2020-09Julio ARACENA, Lilian SALINAS, Luis CABRERA-CROT, Finding the fixed points of a Boolean network from a positive feedback vertex set2020
2019-12Julio ARACENA, Christopher THRAVES-CARO, The Weighted Sitting Closer to Friends than Enemies problem in the line2019
2019-15Christopher THRAVES-CARO, Vicent CHOLVI, Juan ECHAGUE, Antonio FERNANDEZ-ANTA, System stability under adversarial injection of dependent tasks2019
2019-18Christopher THRAVES-CARO, Rosa BECERRA, On the Sitting Closer to Friends than Enemies problem in trees and an intersection model for strongly chordal graph2019
2018-04Julio ARACENA, Lilian SALINAS, Adrien RICHARD, Maximilien GADOULEAU, Fixing monotone Boolean networks asynchronously2018
2018-17Anahi GAJARDO, Rodrigo TORRES, Nicolas OLLINGER, Transitivity and minimality in the context of Turing machine topological models2018
2018-21Julio ARACENA, Christopher THRAVES-CARO, Felipe BENITEZ, The Sitting Closer to Friends than Enemies problem in the circumference2018
2017-01Oliver BRUN, Christopher THRAVES-CARO, Josu DONCEL, Optimal path discovery problem with homogeneous knowledge2017
2017-02Martín FARACH-COLTON, Christopher THRAVES-CARO, Miguel A. MOSTEIRO, Katia LEAL, Dynamic windows scheduling with reallocation2017
2017-09Christopher THRAVES-CARO, Quico SPAEN, Mark VELEDNITSKY, The dimension of signed graph valid drawing2017
2016-02Julio ARACENA, Lilian SALINAS, Adrien RICHARD, Number of fixed points and disjoint cycles in monotone Boolean networks2016
2016-03Anahi GAJARDO, Vincent NESME, Guillaume THEYSSIER, Pre-expansivity in cellular automata2016
2016-09Anahi GAJARDO, Diego MALDONADO, Andres MOREIRA, Benjamin HELLOUIN DE MENIBUS, Non trivial Turmites are Turing-universal 2016
2015-04Julio ARACENA, Lilian SALINAS, Eduardo PALMA, Enumeration and extension of non-equivalent deterministic update schedules in Boolean networks2015
2015-05Anahi GAJARDO, Rodrigo TORRES, Nicolas OLLINGER, Some undecidable problems about the trace-subshift associated to a Turing machine2015
2015-06Anahi GAJARDO, Rodrigo TORRES, Nicolas OLLINGER, The transitivity problem of Turing machine2015
2015-07Anahi GAJARDO, Diego MALDONADO, Andres MOREIRA, Universal time-symmetric number-conserving cellular automaton2015
2015-08Julio ARACENA, Lilian SALINAS, Adrien RICHARD, Fixed points in conjunctive networks and maximal independent sets in graph contractions2015
2014-08Anahi GAJARDO, Camilo LACALLE, Revisiting of 2-pebble automata from a dynamical approach2014
2014-17Julio ARACENA, Lilian SALINAS, Luis GÓMEZ, Complexity of limit cycle existence and feasibility problems in Boolean networks2014
2013-02Julio ARACENA, Lilian SALINAS, Adrien RICHARD, Maximum number of fixed points in AND-OR Boolean network2013
2012-04Julio ARACENA, Jacques DEMONGEOT, Jean-Paul COMET, Adrien RICHARD, Laurence CALZONE, Marcelle KAUFMAN, Aurelien NALDI, El Houssine SNOUSSI, Denis THIEFFRY, On circuit functionality in Boolean networks2012
2012-06Julio ARACENA, Jacques DEMONGEOT, Marco MONTALVA, Eric FANCHON, On the number of different dynamics in Boolean networks with deterministic update schedules2012
2011-21Julio ARACENA, Jacques DEMONGEOT, Marco MONTALVA, Eric FANCHON, On the number of update digraphs and its relation with the feedback arc sets and tournaments2011
2011-26Anahi GAJARDO, Andres MOREIRA, Jarkko KARI, On time-symmetry in cellular automata2011
2010-11Julio ARACENA, Lilian SALINAS, Luis GÓMEZ, Limit cycles and update digraphs in Boolean networks2010
2009-04Anahi GAJARDO, The complexity of a particular shift associated to a Turing machine2009
2009-24Julio ARACENA, Marco MONTALVA, Eric FANCHON, Mathilde NOUAL, Combinatorics on update digraphs of discrete networks2009
2008-05Anahi GAJARDO, Sofic one head machines2008
2008-08Anahi GAJARDO, Julio ARACENA, Marco MONTALVA, Positive and negative feedback vertex set problems2008
2007-04Julio ARACENA, On the number of fixed points in regulatory Boolean networks2007
2007-07Anahi GAJARDO, Paul DORBEC, Langton's Fly2007
2007-36Eric GOLES, Julio ARACENA, Lilian SALINAS, On the robustness of update schedules in Boolean networks2007
2006-30Anahi GAJARDO, Julio ARACENA, Marco MONTALVA, On the complexity of Feedback Vertex problem in signed digraphs2006
2005-04Anahi GAJARDO, Eric GOLES, Complexity of two-dimensional Sandpiles2005
2005-10Anahi GAJARDO, Jacques MAZOYER, One head machines from a symbolic approach2005
2005-23Julio ARACENA, Generalized cartesian factorization of finite languages2005
2003-01Anahi GAJARDO, Eric GOLES, Dynamics of a class of ants on a one-dimensional lattice.2003

Publications

Authors Title Journal Year
Aracena, J., Cabrera-Crot, L., Richard, A., Salinas, L., Dynamically equivalent disjunctive networks. vol. 1024, Paper No. 114899  Article  Theoretical Computer Science2025
Cid-Aguayo, B. E., Gajardo, A., Oliveros, V., Pinela, J., Silva, G., Vargas, D. O., Vejar, P., 'I know how to live from what the hill gives': biocultural uses, tensions and partial reconstructions around the common goods of the Cerro Caracol urban park. bsad038  Article  Community Development Journal2024
Jiménez, A., Quiroz, D. A., Thraves Caro , C., Totally odd immersions in line graphs. 347(4), 113862  Article  Discrete Mathematics2024
Fernandes, C. G., Mota, G. O., Sanhueza-Matamala, N., Separating Path Systems in Complete Graphs. 14579, 98-113  Article  Lecture Notes In Computer Science2024
Araújo, P., Pavez-Signé, M., Sanhueza-Matamala, N., Ramsey numbers of cycles in random graphs.  Article  Random Structures & Algorithms2024
Lo, A., Piga, S., Sanhueza-Matamala, N., Cycle decompositions in k-uniform hypergraphs. 167, 55-103  Article  Journal Of Combinatorial Theory Series B2024
Pavez-Signé, M., Sanhueza-Matamala, N., Stein, M., Dirac-type conditions for spanning bounded-degree hypertrees. 165, 97-141  Article  Journal Of Combinatorial Theory Series B2024
Gajardo, A., Ollinger, N., Torres-Avilés, R., On relations between properties in transitive Turing machines. 36(12), 6297-6323  Article  Nonlinearity2023
Aracena, J., Thraves Caro , C., The weighted sitting closer to friends than enemies problem in the line. 45(1), 9  Article  Journal Of Combinatorial Optimization2023
Lang, R., Sanhueza-Matamala, N., On sufficient conditions for spanning structures in dense graphs. 709-791  Article  Proceedings Of The London Mathematical Society2023
Pavez-Signé, M., Piga, S., Sanhueza-Matamala, N., Ramsey Numbers with Prescribed Rate of Growth. 30(3), P3.24  Article  Electronic Journal Of Combinatorics2023
Piga, S., Sanhueza-Matamala, N., Cycle Decompositions in 3-Uniform Hypergraphs. 43(1), 1-36  Article  Combinatorica2023
Pavez-Signé, M., Sanhueza-Matamala, N., Stein, M., Towards a hypergraph version of the Pósa-Seymour conjecture. 2023, 3  Article  Advances In Combinatorics2023
Aracena, J., Bridoux, F., Gómez, L., Salinas, L., Complexity of limit cycles with block-sequential update schedules in conjunctive networks. 22, 411-429  Article  Natural Computing2023
Aracena, J., Richard, A., Salinas, L., Synchronizing Boolean networks asynchronously. 136, 249-179  Article  Journal Of Computer And System Sciences2023
Aracena, J., Thraves Caro , C., The weighted sitting closer to friends than enemies problem in the line. 45(1), 9  Article  Journal Of Combinatorial Optimization2023
Lang, R., Sanhueza-Matamala, N., Minimum degree conditions for tight Hamilton cycles. 105(4), 2249-2323  Article  Journal Of The London Mathematical Society-second Series2022
Aracena, J., Salinas, L., Existence and Non Existence of Limit Cycles in Boolean Networks. vol. 42, pp. 233-252  Chapter Book  Sin Revista2022
Farach-Colton, M., Leal, K., Mosteiro, M. A., Thraves Caro , C., Dynamic Windows Scheduling with Reallocation. 26, 3462208  Article  Acm Journal Of Experimental Algorithmics2021
Anta, A. F., Cholvi, V., Thraves Caro , C., System Stability Under Adversarial Injection of Dependent Tasks. 9, 139516-139526  Article  Ieee Access2021
Aracena, J., Cabrera-Crot, L., Salinas, L., Finding the fixed points of a Boolean network from a positive feedback vertex set. 37(8), 1148-1155  Article  Bioinformatics2021
Gajardo, A., Nesme, V., Theyssier, G., Pre-expansivity in cellular automata. 816, 37-66  Article  Theoretical Computer Science2020
Spaen, Q., Thraves Caro , C., Velednitsky, M., The Dimension of Valid Distance Drawings of Signed Graphs. 63(1), 158-168  Article  Discrete & Computational Geometry2020
Brun, O., Doncel, J., Thraves Caro , C., Optimal Path Discovery Problem with Homogeneous Knowledge. 64(2), 227-250  Article  Theory Of Computing Systems2020
Aracena, J., Gadouleau, M., Richard, A., Salinas, L., Fixing monotone Boolean networks asynchronously. 254, 104540  Article  Information And Computation2020
de Menibus, B. H., Gajardo, A., Maldonado, D., Moreira, A., Nontrivial Turmites are Turing-universal. 3(5-6), 373-392  Article  Journal Of Cellular Automata2018
Kiwi, M., Thraves Caro , C., FIFO Queues Are Bad for Rumor Spreading. 63(2), 1159-1166  Article  Ieee Transactions On Information Theory2017
Aracena, J., Richard, A., Salinas, L., Number of fixed points and disjoint cycles in monotone Boolean networks. 31(3), 1702-1725  Article  Siam Journal On Discrete Mathematics2017
Aracena, J., Richard, A., Salinas, L., Fixed points in conjunctive networks and maximal independent sets in graph contractions. 88, 145-163  Article  Journal Of Computer And System Sciences2017
Anta, A. F., Aroca, J. A., Mosteiro, M. A., Thraves Caro , C., Wang, L. , Power-efficient assignment of virtual machines to physical machines. 54, 82-94  Article  Future Generation Computer Systems-the International Journal Of Escience2016
Aracena, J., Palma, E., Salinas, L., Enumeration and extension of non-equivalent deterministic update schedules in Boolean networks. 32(5), 722-729  Article  Bioinformatics2016
Gajardo, A., Ollinger, N., Torres-Avilés, R., Some undecidable problems about the trace-subshift associated with a Turing machine. 17(2), 267-284  Article  Discrete Mathematics And Theoretical Computer Science2015
Soto, M., Thraves Caro , C., p-BOX: A new graph model. 17(1), 169-186  Article  Discrete Mathematics And Theoretical Computer Science2015
Pardo, E. G., Soto, M., Thraves Caro , C., Embedding signed graphs in the line Heuristics to solve MinSA problem. 29(2), 451-471  Article  Journal Of Combinatorial Optimization2015
Aracena, J., Richard, A., Salinas, L., Maximum number of fixed points in AND-OR-NOT networks. 80(7), 1175-1190  Article  Journal Of Computer And System Sciences2014
Aracena, J., Gómez, L., Salinas, L., Limit cycles and update digraphs in Boolean networks. 161, 1-12  Article  Discrete Applied Mathematics2013
Aracena, J., Calzone, L., Comet, J. P., Demongeot , J., Noual, M., Richard, A., Thieffry, D., On Circuit Functionality in Boolean Networks. 75(6), 906-919  Article  Bulletin Of Mathematical Biology2013
Aracena, J., Demongeot , J., Fanchon, E., Montalva, M., On the number of different dynamics in Boolean networks with deterministic update schedules. 242, 188-194  Article  Mathematical Biosciences2013
Aracena, J., Demongeot , J., Fanchon, E., Montalva, M., On the number of update digraphs and its relation with the feedback arc sets and tournaments. 161, 1345-1355  Article  Discrete Applied Mathematics2013
Aracena, J., Gómez, L., Salinas, L., Limit cycles and update digraphs in Boolean networks. 161, 1-12  Article  Discrete Applied Mathematics2013
Gajardo, A., Kari, J., Moreira, A., On time-symmetry in cellular automata. 78(4), 1115-1126  Article  Journal Of Computer And System Sciences2012
Aracena, J., Fanchon, E., Montalva, M., Noual, M., Combinatorics on Update Digraphs in Boolean Networks. 159, 401-409  Article  Discrete Applied Mathematics2011
Goles, E., Salinas, L., Sequential operator for filtering cycles in Boolean networks. 45 (3); 346-358  Article  Advances In Applied Mathematics2010
Aracena, J., Goles, E., Moreira, A., Salinas, L., On the Robustness of Update Schedules in Boolean Networks. 97, 1-8  Article  Biosystems2009
Aracena, J., Goles, E., Moreira, A., Salinas, L., On the Robustness of Update Schedules in Boolean Networks. 97, 1-8  Article  Biosystems2009
Aracena, J., Gajardo, A., Montalva, M., On the complexity of feedback set problems in signed digraphs. 30(C), 249-254  Article  Electronic Notes In Discrete Mathematics2008
Dorbec, P., Gajardo, A., Langton's Flies. 41, 1-17  Article  Journal Of Physics A: Mathematical And Theoretical2008
Aracena, J., Gajardo, A., Montalva, M., On the complexity of feedback set problems in signed digraphs. 30(C), 249-254  Article  Electronic Notes In Discrete Mathematics2008
Aracena, J., Maximum Number of Fixed Points in Regulatory Boolean Networks. 70, 1398-1409  Article  Bulletin Of Mathematical Biology2008
Gajardo, A., Mazoyer, J., One Head Machines from a Symbolic Approach. 370, 14-34  Article  Theoretical Computer Science2007
Andrews, B.A., Aracena, J., Asenjo, J.A., Goles, E., Ramírez, P., Rapaport, I., A Discrete Mathematical Model Applied to Genetic Regulation and Metabolic Networks. 17(3), 496-510  Article  Journal Of Microbiology And Biotechnology2007
Gajardo, A., Goles, E., Crossing Information in Two-Dimensional Sandpiles. 369, 463-469  Article  Theoretical Computer Science2006
Aracena, J., Cambiazo, V., González, M., Mendez, M.A., Zuñiga, A., Regulatory Network for Cell Shape Changes During Drosophila Ventral Furrow Formation. 239, 49-62  Article  Journal Of Theoretical Biology2006
Gajardo, A., Goles, E., Dynamics of a Class of Ants on a One-Dimensional Lattice. 322, 267-283  Article  Theoretical Computer Science2004
Blondel, Vincent D., Gajardo, A., Heymans, Maureen, Senellart, Pierre, Van Dooren, Paul, A Measure of Similarity Between Graph Vertices: Applications to Synonum Extraction and Web Searching. 46(4), 647-666  Article  Siam Review2004
Aracena, J., Demongeot , J., Goles, E., On Limit Cycles of Monotone Functions With Symmetric Connection Graph. 322, 237-244  Article  Theoretical Computer Science2004
Aracena, J., Demongeot , J., Goles, E., Fixed Points and Maximal Independent Sets in AND-OR Networks. 138, 277-288  Article  Discrete Applied Mathematics2004
Aracena, J., Demongeot , J., Goles, E., Positive and Negative Circuits in Discrete Neural Networks. 15(1), 77-83  Article  Ieee Transactions On Neural Networks2004
Aracena, J., Demongeot , J., Mathematical Methods for Inferring Regulatory Networks Interactions: Application to Genetic Regulation. 52, 391-400  Article  Acta Biotheoretica2004

Projects

Code Title Agency Begin End Status
FB210005Center For Mathematical Modeling (CMM)PIA2022 2032Active
11220269Spanning Structures In Hypergraphs: Cycles, Trees And DesignsFONDECYT2022 2025Active
ECOS190046Simbolic Dynamical Systems A Dialog Between Finite And InfiniteCooperación Internacional2020 2023Completed
1151265Signed Interaction Digraph And Fixed Points In Boolean NetworksFONDECYT2015 2019Completed
217.013.042-1.0Expansivity Like Notions In Cellular AutomataVRID2017 2019Completed
PFB 03Centro de Investigación en Ingeniería Matemática (CI2MA)PIA2008 2018Completed
1140684On The Complexity Of One Head Machines On Cayley GraphsFONDECYT2014 2017Completed
1131013Limit Cycles And Deterministic Update Schedule In Boolean NetworksFONDECYT2013 2016Completed
UCO 1204Plan De Mejoramiento Institucional - Armonización Curricular En La Universidad De Concepción: Gestión Efectiva Del Modelo Educativo InstitucionalCooperación Internacional2013 2015Completed
C09 E003A Consistency Model For Geographic Changes And Processes Applied To RegionsCooperación Internacional2010 2013Completed
1090549Robustness Of Update Schedules In Boolean NetworksFONDECYT2009 2013Completed
1090568One Head Machines And Their Associated Symbolic SystemsFONDECYT2009 2012Completed
1061008Connection Graph And Attractors In Boolean Regulatory NetworksFONDECYT2006 2009Completed
1061036Dynamics Of One Head Machines And T-shiftsFONDECYT2006 2009Completed
204.013.023-1.0Structural And Dynamical Properties In Discrete Genetic Regulatory NetworksDIUC2004 2006Completed
1030706The Dynamics Of Turing Machines And Similar SystemsFONDECYT2003 2006Completed

Events

Contact

Esteban Iturra s/n, Departamento de Ingeniería Matemática, Facultad de Ciencias Físicas y Matemáticas, Universidad de Concepción, Concepción, Chile.

+56 41 220 XXXX

discretemath {at} udec {dot} cl