Author

Irena M. Jovanović

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Preprint Oct 2026

Two conjectures on the cospectrality of complete tripartite graphs are false

For a graph G of order n with adjacency eigenvalues lambda_1(G)>= ...>= lambda_n(G), the cospectrality of G within the set G of all graphs of order n is the smallest spectral distance from G to another graph of G. Abdollahi and Zakeri conjectured that for every n>= 4 the cospectrality of the complete tripartite graph K...

Irena M. Jovanović, Jelena Sedlar, R. Škrekovski · 0 citations

Preprint Aug 2026

Resolutions of two conjectures on the spectral diameter

Let $\lambda_1(G) \geq \dots \geq \lambda_n(G)$ be the adjacency spectrum of a graph $G$ on $n$ vertices. The spectral distance $\sigma(G,H)$ between $n$-vertex graphs $G$ and $H$ is the Manhattan distance between their spectra, i.e. $\sigma(G,H) = \sum_{i=1}^n |\lambda_i(G) - \lambda_i(H)|$. Given a set $\mathcal{G}$...

Irena M. Jovanović, Jelena Sedlar, R. Škrekovski · 0 citations