activity
20152025
most citedDecomposing complete equipartite multigraphs into cycles of variable lengths: the amalgamation-detachment approach

8 citations · 22 across the 11 of their papers we have counts for

collaborators

12 papers

math.CO2025

Abstract questionnaires and FS-decision digraphs

Jiaye Chen, Suzan Kadri, Mateja Šajna +1

A questionnaire is a sequence of multiple choice questions aiming to collect data on a population. We define an abstract questionnaire as an ordered pair , where …

math.CO2024★ 6 cited

On the spouse-loving variant of the Oberwolfach problem

Noah Bolohan, Iona Buchanan, Andrea Burgess +2

We prove that , the complete graph of an even order with a -factor duplicated, admits a decomposition into -factors, each a disjoint union of cycles of length $m \geq…

math.CO2023

The directed Oberwolfach problem with variable cycle lengths: a recursive construction

Suzan Kadri, Mateja Šajna

The directed Oberwolfach problem OP asks whether the complete symmetric digraph , assuming , admits a decomposition into spannin…

math.CO2023

On the directed Oberwolfach problem for complete symmetric equipartite digraphs and uniform-length cycles

Nevena Francetić, Mateja Šajna

We examine the necessary and sufficient conditions for a complete symmetric equipartite digraph with parts of size to admit a resolvable decomposition into…

math.CO2021

Covering hypergraphs are eulerian

Mateja Šajna, Andrew Wagner

An Euler tour in a hypergraph (also called a rank-2 universal cycle or 1-overlap cycle in the context of designs) is a closed walk that traverses every edge exactly once. In this p…

math.CO2021

Using edge cuts to find Euler tours and Euler families in hypergraphs

Mateja Šajna, Andrew Wagner

An Euler tour in a hypergraph is a closed walk that traverses each edge of the hypergraph exactly once, while an Euler family is a family of closed walks that jointly traverse each…