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From the 2 of 8 linked papers with an AI index.

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8 papers

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.DS2026

A lower bound of 4 for online graph exploration

Julia Baligacs

The paper proves that any online algorithm for graph exploration must have a competitive ratio of at least 4, improving the previous bound of 10/3, and shows that certain restricti…

cs.DS2026

Randomization Helps in Online Graph Exploration: Breaking the Deterministic Lower Bound on Cycles

Júlia Baligács, Jan HÄ zła, Lena Volk

The paper presents a randomized algorithm for online exploration of cycle graphs that achieves a competitive ratio of at most 1.315, surpassing the best possible deterministic rati…

math.CO2026

A coarse block-cut tree theorem

Júlia Baligács, Václav Blažej, Jadwiga Czyżewska +2

We prove a coarse analogue of the classic fact that every graph can be decomposed along its cut-vertices into -connected components. Precisely, we prove that for every graph

cs.DM2026

Temporal Cliques Admit Linear Spanners

Julia Baligacs

A temporal graph is a graph in which every edge carries a non-empty set of time labels, and it is temporally connected if for every two vertices and , there exists a -

cs.SI2026

Inevitability of Polarization in Geometric Opinion Exchange

Abdou Majeed Alidou, Júlia Baligács, Max Hahn-Klimroth +3

Polarization and unexpected correlations between opinions on diverse topics (including in politics, culture and consumer choices) are an object of sustained attention. However, num…