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20212026
most citedAlmost-linear time parameterized algorithm for rankwidth via dynamic rankwidth

1 citations · 4 across the 22 of their papers we have counts for

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cs.DS2026

Time-Optimal APSP and Matrix Multiplication in Classes of Linear Neighborhood Complexity

Édouard Bonnet, Julien Duron, Marcin Pilipczuk +2

The notion of linear neighborhood complexity is a very general structural assumption on a graph class, covering most classes of sparse graphs such as planar graphs, graphs excludin…

cs.DS2026

A tight lower bound for malicious online bipartite matching with limited recourse budget

Julia Baligacs, Bartłomiej Bosek, Paweł Putra +2

We study one-sided online bipartite matching with recourse. In this setting, one side of a bipartite graph is known in advance, while vertices on the other side arrive online toget…

cs.DM2026

Multiway -Cut is fixed-parameter tractable

Tony Huynh, Eun Jung Kim, Sang-il Oum +2

A connectivity function on a finite set is a function that is submodular and symmetric, with . Given a connectivity function via…

math.CO2026

An Erdős-Pósa theorem for cycles and faces of distinct lengths

J. Pascal Gollin, Maximilian Gorsky, Meike Hatzel +6

We show that for every , every graph contains vertex-disjoint cycles of different lengths, or there exists a set with $|X| \in \mathcal…

cs.DS2026

Fast decremental tree sums in forests

Benjamin Aram Berendsohn, Marek Sokołowski

We study two fundamental decremental dynamic graph problems. In both problems, we need to maintain a vertex-weighted forest of size under edge deletions, weight updates, and a…

cs.DS2026

Dynamic Detours

Daniel Dadush, Michał Pilipczuk, Amadeus Reinald +2

Fix a parameter . We give dynamic data structures that for a fully dynamic undirected graph , updated over time by edge insertions and edge deletions, can answe…

math.CO2026

Polynomial-size encoding of all cuts of small value in integer-valued symmetric submodular functions

Sang-il Oum, Marek Sokołowski

We study connectivity functions, that is, integer-valued symmetric submodular functions on a finite ground set attaining on the empty set. For a connectivity function on an…