E. Juliano

activity

20242026

collaborators

3 papers

math.CO2026

The edge-isoperimetric number of graphs and their powers: approaches from spectral graph theory, optimization and finite geometry

Aida Abiad, Nils van de Berg, Emanuel Juliano +4

We obtain several sharp spectral bounds, approximations, and exact values for the isoperimetric number and related edge-expansion parameters of graphs. Our results focus on graph p…

math.CO2025

A graph energy conjecture through the lenses of semidefinite programming

Aida Abiad, Gabriel Coutinho, Emanuel Juliano +1

Let $G$ be a graph on $n$ vertices with independence number $α (G)$ . Let $E (G)$ be the energy of a graph, defined as the sum of the absolute values of the adjacency eigenv…

math.CO2024

On the zero-free region for the chromatic polynomial of graphs with maximum degree $Δ$ and girth $g$

Paula M. S. Fialho, Emanuel Juliano, Aldo Procacci

The purpose of the present paper is to provide, for all pairs of integers $(Δ, g)$ with $\D\ge 3$ and $g \geq 3$ , a positive number $C (Δ, g)$ such that chromatic polynomial $P_{G} (q)$ o…

The edge-isoperimetric number of graphs and their powers: approaches from spectral graph theory, optimization and finite geometry

A graph energy conjecture through the lenses of semidefinite programming

On the zero-free region for the chromatic polynomial of graphs with maximum degree Δ and girth g

On the zero-free region for the chromatic polynomial of graphs with maximum degree $Δ$ and girth $g$