MARCO BARBIERI

I am a postdoctoral researcher at the University of Ljubljana, working under the supervision of Urban Jezernik. Previously, I completed my PhD at the University of Pavia under the guidance of Pablo Spiga.

My main interest lies in the study of symmetry in graphs. I am also fascinated by asymptotic and probabilistic results in group theory and by combinatorial structures with rich algebraic properties.

What did I write?

Quasirandom and quasisimple groups
with L. Sabatini, arXiv:2404.05550
Elementary proof of the diameter bounds for power graphs
with K. Rekvényi, arXiv:2411.055429, accepted for pubblication in Bulletin of the Australian Mathemathical Society
On the order of semiregular automorphisms of cubic vertex-transitive graphs
with V. Grazian and P. Spiga, European Journal of Combinatorics, 124 p.104091 (2025)
On the number of generators of groups acting arc-transitively on graphs
with P. Spiga, Australasian Journal of Combinatorics, 90(2) pp.187-198 (2024)
On derangements and suborbits in finite transitive groups
with P. Spiga, Discrete Mathematics, 347 p.114032 (2024)
Vertex-primitive digraphs with large fixity
with P. Potočnik, Annali di Matematica Pura ed Applicata, 203 pp.2383-2403 (2024)
On the number of fixed edges of automorphisms of vertex-transitive graphs of small valency
with V. Grazian and P. Spiga, Journal of Algebraic Combinatorics, 57 pp.329-348 (2023)
On the Cayleyness of Praeger-Xu graphs
with V. Grazian and P. Spiga, Bulletin of Australian Mathematical Society, 106(3) pp.353-356 (2022)

Can I give you some other interesting links?

I am an organizer of the Al@Bicocca seminairs
If you care about symmetries in graphs, here is my PhD thesis

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