Research

Papers

1. Computing fixed point free automorphisms of graphs
   A Abiad, G Coutinho, E Juliano, V F. dos Santos, S Zeijlemaker
   LATIN 2026
2. The edge-isoperimetric number of graphs and their powers: approaches from spectral graph theory, optimization and finite geometry
   A Abiad, N van de Berg, E Juliano, H Reijnders, R Simoens, T van Veluw, J Wittebol
   Submitted
3. A graph energy conjecture through the lenses of semidefinite programming
   A Abiad, G Coutinho, E Juliano, L Reijnders
   Submitted
4. On the zero-free region for the chromatic polynomial of graphs with maximum degree Δ and girth g
   P.M.S. Fialho, E. Juliano, A. Procacci
   Discrete Mathematics 2025
5. A remark on the Whitney Broken Circuit Theorem
   P.M.S. Fialho, E. Juliano, A. Procacci
   Computational and Applied Mathematics 2025
6. Spectral upper bounds for the Grundy number of a graph
   T. Assis, G. Coutinho, E. Juliano
   Discrete Mathematics 2024
7. Matching (Multi)Cut: Algorithms, Complexity, and Enumeration
   G.C.M. Gomes, E. Juliano, G. Martins, V.F. dos Santos
   IPEC 2024
8. Forbidden subdivision in integral trees
   E. Juliano
   Preprint
9. The spectrum of symmetric decorated paths
   G. Coutinho, E. Juliano, T.J. Spier
   Linear Algebra and its Applications 2024
10. No perfect state transfer in trees with more than 3 vertices
    G. Coutinho, E. Juliano, T.J. Spier
    Journal of Combinatorial Theory, Series B 2024
11. Strong cospectrality in trees
    G. Coutinho, E. Juliano, T.J. Spier
    Algebraic Combinatorics 2023
12. Quantum walks do not like bridges
    G. Coutinho, C. Godsil, E. Juliano, C.M. van Bommel
    Linear Algebra and its Applications 2022

Conferences and Talks

• LATIN 2026
  Talk: Computing fixed point free automorphisms of graphs
• DM Seminar, Umeå University, Nov 2025
  Talk: A graph energy conjecture through the lenses of semidefinite programming
• TCS&DM Seminar, Heidelberg University, Nov 2025
  Talk: A graph energy conjecture through the lenses of semidefinite programming
• Dutch Day on Optimization 2025
  Talk: A graph energy conjecture through the lenses of semidefinite programming
• BIRS Workshop - Algebraic Graph Theory and Applications (25w5432)
  Talk: A graph energy conjecture through the lenses of semidefinite programming
• LIMDA Seminar, UPC, Sep 2025
  Talk: A graph energy conjecture through the lenses of semidefinite programming
• 12th PhD Summer School in Discrete Mathematics
  Talk: A graph energy conjecture through the lenses of semidefinite programming
• Eurocomb'25
• Belgian Graph Theory Conference 2025
• The 26th Conference of the International Linear Algebra Society
  Talk: Spectral upper bounds for the Grundy number of a graph
• 5th Pythagorean Conference
  Talk: Computing Fixed Point Free Automorphisms of Graph Classes
• CO Seminar, Eindhoven University of Technology, May 2025
  Talk: Computing Fixed Point Free Automorphisms of Graph Classes
• DMQI Seminar, University of Amsterdam, Apr 2025
  Talk: Grundy number and the matching polynomial
• Workshop on the Combinatorial, Algorithmic and Probabilistic aspects of Partition Functions
• Dutch Days of Combinatorics 2025
  Lightning talk: Matching (Multi)Cut
• 1st Brazilian Workshop of Combinatorics
  Open problem section: Rainbow Stacking of Random Edge-Colorings
• Graphs meet quantum 2023
• Workshop on Spectral Graph Theory 2023
  Talk: Forbidden structures in integral trees
• 1st Brazilian School of Combinatorics
  Poster: Spectral bounds for the Grundy number
• Algebraic Graph Theory Seminar, Jan 2022
  Talk: Quantum walks do not like bridges
• Algebraic Graph Theory Seminar, Oct 2021
  Talk: Strongly Cospectral Vertices in Trees
• Workshop on Algebraic Graph Theory and Quantum Information 2021
  Poster: Strongly Cospectral Vertices in Trees