most citedThe Parametrised Complexity of Counting Small Sub-Hypergraphs

1 citations · 1 across the 3 of their papers we have counts for

collaborators

5 papers

cs.DM2026

A Linear-Time Algorithm for the Unbiased Claw Game on Graphs with Maximum Degree 4

Julian Christoph Brinkmann

We study the unbiased Maker-Breaker -game, the unbiased claw game, played on the edge set of a general graph . In this game, Maker and Breaker alternatingly claim edges…

cs.CC2026

Faster Algorithms for Deciding the Unbiased Maker-Breaker Triangle Game on General Graphs

Julian Christoph Brinkmann, Anand Srivastav

In this paper, we present new polynomial-time algorithms for determining the winner of the unbiased triangle game played on the edge set of general graphs. To that end, we propose…

cs.CC2026

On the Complexity of the Minimum-()-Shortcut Problem

Tatiana Rocha Avila, Julian Christoph Brinkmann, Alexander Leonhardt +1

We consider the Minimum-- problem (), where the goal is to find the smallest set of shortcut edges such that every ver…

math.CO2025

The Complexity of Color-constrained Paths in Semicomplete Multipartite Digraphs

Julian Brinkmann

Every semicomplete multipartite digraph contains a quasi-Hamiltonian path, but the problem of finding a quasi-Hamiltonian path with prescribed start and end vertex is NP-complete e…

cs.CC2025★ 1 cited

The Parametrised Complexity of Counting Small Sub-Hypergraphs

Marco Bressan, Julian Brinkmann, Holger Dell +2

Subgraph counting is a fundamental and well-studied problem whose computational complexity is well understood. Quite surprisingly, the hypergraph version of subgraph counting has b…