Research

Papers

1. A graph energy conjecture through the lenses of semidefinite programming.
   A Abiad, G Coutinho, E Juliano, L Reijnders.
   Submitted.
2. 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.
3. A remark on the Whitney Broken Circuit Theorem.
   P.M.S. Fialho, E. Juliano, A. Procacci.
   Computational and Applied Mathematics 2025.
4. Spectral upper bounds for the Grundy number of a graph.
   T. Assis, G. Coutinho, E. Juliano.
   Discrete Mathematics 2024.
5. Matching (Multi)Cut: Algorithms, Complexity, and Enumeration.
   G.C.M. Gomes, E. Juliano, G. Martins, V.F. dos Santos.
   IPEC 2024.
6. Forbidden subdivision in integral trees.
   E. Juliano.
   Preprint.
7. The spectrum of symmetric decorated paths.
   G. Coutinho, E. Juliano, T.J. Spier.
   Linear Algebra and its Applications 2024.
8. 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.
9. Strong cospectrality in trees.
   G. Coutinho, E. Juliano, T.J. Spier.
   Algebraic Combinatorics 2023.
10. 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

• 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.