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Un aspetto rilevante di teoria spettrale dei grafi: perturbazione in un grafo e variazione dell'indice

Francesco Belardo — 2008

La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana

Unbalanced unicyclic and bicyclic graphs with extremal spectral radius

Francesco Belardo; Maurizio Brunetti; Adriana Ciampella — 2021

Czechoslovak Mathematical Journal

A signed graph $Γ$ is a graph whose edges are labeled by signs. If $Γ$ has $n$ vertices, its spectral radius is the number $ρ (Γ) : = max {| λ_{i} (Γ) | : 1 \leq i \leq n}$ , where $λ_{1} (Γ) \geq \dots \geq λ_{n} (Γ)$ are the eigenvalues of the signed adjacency matrix $A (Γ)$ . Here we determine the signed graphs achieving the minimal or the maximal spectral radius in the classes $𝔘_{n}$ and $𝔅_{n}$ of unbalanced unicyclic graphs and unbalanced bicyclic graphs, respectively.

Spectral characterizations of dumbbell graphs.

Wang, Jianfeng; Belardo, Francesco; Huang, Qiongxiang; Marzi, Enzo M.Li — 2010

The Electronic Journal of Combinatorics [electronic only]

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Currently displaying 1 – 3 of 3

Un aspetto rilevante di teoria spettrale dei grafi: perturbazione in un grafo e variazione dell'indice

Unbalanced unicyclic and bicyclic graphs with extremal spectral radius

Spectral characterizations of dumbbell graphs.