2 papers
math.CO2026
Structured eigenbases and pair state transfer on threshold graphs
Leonardo de Lima, Renata Del-Vecchio, Hermie Monterde +1
Recently, Macharete, Del-Vecchio, Teixeira and de Lima showed that a star and any threshold graph on the same number of vertices share the same eigenbasis relative to the Laplacian…
math.CO2025
On some classes of bivalent and trivalent planar graphs
Jorge Alencar, Jean-Guy Caputo, Leonardo de Lima +1
A graph is called bivalent or trivalent if there exists an eigenvector of the graph Laplacian composed from {-1,1} or {-1,0,1}, respectively. These bivalent and trivalent eigenvect…