25 citations · 43 across the 9 of their papers we have counts for
5 papers · 1 filter
The inverse problem for the Steiner-Wiener index of trees
Adrian Beker, Rudi Mrazović
For a connected graph and a set , the Steiner distance is the minimum number of edges in a connected subgraph of containing . The Steiner-Wiener…
A note on the shortest law for the symmetric group
Adrian Beker, Luka Milićević, Rudi Mrazović
Let denote the length of the shortest non-trivial two-variable law for the symmetric group . Buskin's quantitative subgroup-separability argument gives the classical lo…
Transversals in quasirandom latin squares
Sean Eberhard, Freddie Manners, Rudi Mrazović
A transversal in an latin square is a collection of entries not repeating any row, column, or symbol. Kwan showed that almost every latin square has $…
An asymptotic for the Hall--Paige conjecture
Sean Eberhard, Freddie Manners, Rudi Mrazović
Hall and Paige conjectured in 1955 that a finite group has a complete mapping if and only if its Sylow -subgroups are trivial or noncyclic. This conjecture was proved in 200…
Additive triples of bijections, or the toroidal semiqueens problem
Sean Eberhard, Freddie Manners, Rudi Mrazović
We prove an asymptotic for the number of additive triples of bijections , that is, the number of pairs of bijections $π_1,π_2\colon \{1,\dot…