• Counting orientations of graphs with no strongly connected tournaments 

      Botler, Fábio Happ; Hoppen, Carlos; Mota, Guilherme Oliveira (2021) [Artigo de periódico]
      Let Sk(n) be the maximum number of orientations of an n-vertex graph G in which no copy of Kk is strongly connected. For all integers n, k ≥ 4 where n ≥ 5 or k ≥ 5, we prove that Sk(n) = 2tk - 1(n), where tk-1(n) is the ...
    • From UML to Simulink CAAM : formal specification and transformation analysis 

      Foss, Luciana; Cavalheiro, Simone André da Costa; Brisolara, Lisane Brisolara de; Bisi, Nicolas; Pazzini, Vinícius Steffens; Wagner, Flavio Rech (2013) [Artigo de periódico]
      UML and Simulink are attractive languages for embedded systems design and modeling. An automatic mapping from UML models to Simulink would be an interesting resource in a seamless design flow, allowing designers to use UML ...
    • Gallai-Edmonds decomposition of unicyclic graphs from null space 

      Allem, Luiz Emílio; Jaume, Daniel Alejandro; Molina, Gonzalo; Toledo, Maikon Machado (2022) [Artigo de periódico]
      In this paper, we compute the Gallai-Edmonds decomposition of a unicyclic graph G using linear algebraic tools. More precisely, the Gallai-Edmonds decomposition of G is obtained from the null space associated with adjacency ...
    • Locating eigenvalues of a symmetric matrix whose graph is unicyclic 

      Braga, Rodrigo Orsini; Rodrigues, Virginia Maria; Silva, Rafaela Oliveira da (2021) [Artigo de periódico]
      We present a linear-time algorithm that computes in a given real interval the number of eigenvalues of any symmetric matrix whose underlying graph is unicyclic. The algorithm can be applied to vertex- and/or edge-weighted ...
    • Locating eigenvalues of symmetric matrices - a survey 

      Hoppen, Carlos; Jacobs, David; Trevisan, Vilmar (2024) [Artigo de periódico]
      We survey algorithms for locating eigenvalues of symmetric matrices taking advantage of the underlying graph. We present applications in spectral graph theory.
    • Maximum number of r-edge-colorings such that all copies of Kk are rainbow 

      Bastos, Antônio Josefran de Oliveira; Lefmann, Hanno; Oertel, Andy; Hoppen, Carlos; Schmidt, Dionatan Ricardo (2021) [Artigo de periódico]
      We consider a version of the Erdős-Rothschild problem for families of graph patterns. For any fixed k ≥ 3, let r0(k) be the largest integer such that the following holds for all 2 ≤ r ≤ r0(k) and all sufficiently large n: ...
    • Partial characterization of graphs having a single large Laplacian eigenvalue 

      Allem, Luiz Emílio; Cafure, Antonio Artemio; Dratman, Ezequiel; Grippo, Luciano Norberto; Safe, Martín Darío; Trevisan, Vilmar (2018) [Artigo de periódico]
      The parameter (G) of a graph G stands for the number of Laplacian eigenvalues greater than or equal to the average degree of G. In this work, we address the problem of characterizing those graphs G having (G) = 1. Our ...
    • Planejamento, execução e reflexão a partir de uma abordagem inicial sobre Grafos na EJA : uma experiência de transposição didática com a atividade “Cama de Grafos” 

      Silva, Rodrigo Sychocki da; Blum, Leandro Carlos (2019) [Artigo de periódico]
      O artigo pretende explorar e refletir sobre as formas com as quais foi produzida e realizada uma atividade numa disciplina de graduação do curso de Licenciatura em Matemática na Universidade Federal do Rio Grande do Sul, ...