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20232026
most citedThe Complexity of Cluster Vertex Splitting and Company

1 citations · 1 across the 6 of their papers we have counts for

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cs.DS2026

Ramsey Meets Simultaneous Planarity: Vertex Integrity and Pathwidth

Thomas Depian, Simon D. Fink, Alexander Firbas +3

We study the following simultaneous embedding problem: Given k graphs on the same vertex set with the same pairwise intersection, do they admit planar drawings that coincide on the…

cs.DS2026

The (Parameterized) Complexity of Ordering a Graph While Avoiding a Forbidden Pattern

Thomas Depian, Simon D. Fink, Alexander Firbas +3

In this paper, we study the Pattern Avoidance problem of determining whether a given graph admits a linear vertex order which avoids a given pattern , i.e., a vertex sequenc…

cs.DS2026

Not All Degree Constraints Are Created Equal when Computing Spanning Trees

Narek Bojikian, Alexander Firbas, Robert Ganian +2

We study the computation of minimum spanning trees subject to local degree constraints. Recent work (ICALP 2026) established that three natural formalizations of this problem share…

cs.DS2025

Fine-Grained Complexity of Computing Degree-Constrained Spanning Trees

Narek Bojikian, Alexander Firbas, Robert Ganian +2

We investigate the computation of minimum-cost spanning trees satisfying prescribed vertex degree constraints: Given a graph and a constraint function , we ask for a (minimu…

cs.DS2023★ 1 cited

The Complexity of Cluster Vertex Splitting and Company

Alexander Firbas, Alexander Dobler, Fabian Holzer +4

Clustering a graph when the clusters can overlap can be seen from three different angles: We may look for cliques that cover the edges of the graph with bounded overlap, we may loo…