3 papers
math.OC2025
Faces of homogeneous cones and applications to homogeneous chordality
João Gouveia, Masaru Ito, Bruno F. Lourenço
A convex cone is said to be homogeneous if its group of automorphisms acts transitively on its relative interior. Important examples of homogeneous cones include symm…
math.CO2025
Conformal Rigidity and Spectral Embeddings of Graphs
João Gouveia, Stefan Steinerberger, Rekha R. Thomas
We investigate the structure of conformally rigid graphs. Graphs are conformally rigid if introducing edge weights cannot increase (decrease) the second (last) eigenvalue of the Gr…
math.OC2025
Minimal hyperbolic polynomials and ranks of homogeneous cones
João Gouveia, Masaru Ito, Bruno F. Lourenço
The starting point of this paper is the computation of minimal hyperbolic polynomials of duals of cones arising from chordal sparsity patterns. From that, we investigate the relati…