May 18 – 22, 2026
Virginia Tech
America/New_York timezone

$q(G)$ for Threshold Graphs

May 18, 2026, 4:35 PM
25m
Goodwin Hall 125

Goodwin Hall 125

Minisymposium Talk Spectral Graph Theory Spectral Graph Theory

Speaker

LUIZ EMILIO ALLEM (Universidade Federal do Rio Grande do Sul)

Description

We study the minimum number of distinct eigenvalues $q(G)$ of threshold graphs. It is known that every threshold graph satisfies $q(G)\leq 4$, which suggests that a complete combinatorial characterization according to the values $q(G)=2,3,4$ is possible.
In this talk, we present ongoing results toward such a characterization.

Author

LUIZ EMILIO ALLEM (Universidade Federal do Rio Grande do Sul)

Co-authors

Lucas Siviero Sibemberg (UFRGS) Dr Luciano Grippo (Instituto de Ciencias - UNGS - CONICET)

Presentation materials

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