Fabian Burghart

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20212026

most citedA bijection for the evolution of

B

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math.PR2026

Ancestries in random $d$ -DAGs

Fabian Burghart

We consider a random recursive DAG $G_{n}$ on the vertex set $[n]$ where every vertex $i \geq 2$ has out-degree $d$ , with the targets chosen uniformly at random among the earlier $i-1…

math.CO2026

On Cycles in Multiset Permutations, Parking Functions, and Related Structures

Calum Buchanan, Fabian Burghart, Stephan Wagner +1

In this paper we study cycles in multiset permutations and parking functions. As combinatorial objects, multiset permutations are essential building blocks for mappings and permuta…

Ancestries in random d-DAGs

On Cycles in Multiset Permutations, Parking Functions, and Related Structures

Ancestries in random $d$ -DAGs