Publications

International Journals

2023

  1. Felipe Fidalgo, Emerson Vitor Castelani and Guilherme Philippi. A numerical-and-computational study on the impact of using quaternions in the branch-and-prune algorithm for exact discretizable distance geometry problems. Computational Optimization and Applications, 2023.

2019

  1. Valter Soares de Camargo, Emerson Vitor Castelani, Leandro Augusto Frata Fernandes and Felipe Fidalgo, Geometric Algebra to describe the exact Discretizable Molecular Distance Geometry Problem for an arbitrary dimension, Advances in Applied Clifford Algebras 29, p. 75, 2019.

2018

  1. Felipe Fidalgo, Douglas Soares Gonçalves, Carlile Lavor, Leo Liberti and Antonio Mucherino, A symmetry-based splitting strategy for Discretizable Distance Geometry Problems, Journal of Global Optimization 71, pp. 717-733, 2018.

National Journals (indexed)

2024

  1. Samuel Haag and Felipe FidalgoDistance Geometry as an Approach for high school within the context of the Brazilian Nacional Common Core Curriculum, REMAT: Revista Eletrônica da Matemática, v. 11, e201, 2024.

2015

  1. Jaime Edmundo Apaza Rodrigues and Felipe Fidalgo, O problema da pirâmide da base quadrada, CQD Revista Eletrônica Paulista de Matemática 4, pp. 47-54, 2015.

International Conferences

  1. Felipe Fidalgo, Using quaternion geometric algebra for efficient rotations in the branch-and-prune algorithm to solve the Discretizable Molecular Distance Geometry Problem, 7th Conference on Applied Geometric Algebra in Computer Science and Engineering (AGACSE 2018), Campinas, Brazil, 2018. (full-length paper)
  2. Felipe Fidalgo and Jaime Edmundo Apaza Rodrigues, Quaternion as a tool for merging multiple realization treesProceeding of the Workshop on Distance Geometry and Applications (DGA 2013) pp. 119-124, Manaus, Brazil, 2013. (extended abstract)
  3. Felipe Fidalgo, Douglas Maioli and Eduardo Abreu, Updated T Algorithm for the resolution of Molecular Distance Geometry Problems by means of linear systems, Proceeding of the Workshop on Distance Geometry and Applications (DGA 2013), Manaus, Brazil, 2013. (extended abstract)
  4. Felipe Fidalgo, Douglas Maioli, Eduardo Abreu and Carlie Lavor, A numerical formulation for the resolution of Molecular Distance Geometry Problems. Joint proceedings of Iberolatinamerican Congress of Operation Research (XVI CLAIO) and Brazilian Symposium of Operation Research (XLIV SBPO), Rio de Janeiro, Brazil, 2012. (full-length paper)

National Conferences

  1. Felipe Fidalgo. An interdisciplinar walk through Protein Geometry: a high-school proposal. Proceedings of the Brazilian Society of Computational and Applied Mathematics (to appear) – (full-length paper).
  2. Luigi Schmitt Galvão and Felipe Fidalgo. Tensorial algebra. Proceedings of the III Regional Computational and Applied Mathematics Meeting – Santa Catarina, Florianópolis, 2026. (abstract)
  3. Luigi Schmitt Galvão and Felipe Fidalgo. Introduction to tensors. Proceedings of the 35th Brazilian Mathematical Colloquium, IMPA, Rio de Janeiro, 2025. (abstract)
  4. Felipe Fidalgo, Guilherme Philippi, Emerson V. Castelani and Felipe A. Nack. A long-short-term-memory neural network applied to a problem of classification using molecular-driven structures. Proceedings of the XIV Regional Computational and Applied Mathematics Meeting – Parana, Maringa, 2025. (extended abstract)
  5. Aline Thaise Zermiani and Felipe Fidalgo. An introduction to Dijkstra algorithm. Proceedings of the Brazilian Society of Computational and Applied Mathematics, v.9, 2022. (abstract)
  6. Guilherme Philippi and Felipe Fidalgo. A theoretical-computational study of an application of Distance Geometry in protein conformations. Proceedings of the Brazilian Society of Computational and Applied Mathematics, v.8, 2021. (abstract)
  7. Guilherme Philippi and Felipe Fidalgo. Sensor localization and Distance Geometry. Proceedings of the Brazilian Society of Computational and Applied Mathematics, v.8, 2021. (abstract)
  8. Jaime Edmundo Apaza Rodrigues and Felipe Fidalgo. The square-base pyramid problem. Proceedings of the Brazilian Society of Computational and Applied Mathematics, v.3, 2015. (full-length paper)
  9. Felipe Fidalgo and Jaime Edmundo Apaza Rodriguez. A new approach to divide instances of the Discretizable Molecular Distance Geometry Problem using gaps. Proceedings of the Brazilian Society of Computational and Applied Mathematics, v.3, 2015. (full-length paper)

PhD Thesis (in Portuguese-Brazil)

Dividing and conquering with symmetries in Distance Geometry. University of Campinas, 2015.