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20162023
most citedThe Expander Hierarchy and its Applications to Dynamic Graph Algorithms

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

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cs.DS2023

Polylog-Competitive Algorithms for Dynamic Balanced Graph Partitioning for Ring Demands

Harald Räcke, Stefan Schmid, Ruslan Zabrodin

The performance of many large-scale and data-intensive distributed systems critically depends on the capacity of the interconnecting network. This paper is motivated by the vision…

cs.DS2023

Dynamic Maintenance of Monotone Dynamic Programs and Applications

Monika Henzinger, Stefan Neumann, Harald Räcke +1

Dynamic programming (DP) is one of the fundamental paradigms in algorithm design. However, many DP algorithms have to fill in large DP tables, represented by two-dimensional arrays…

cs.DS2020★ 3 cited

The Expander Hierarchy and its Applications to Dynamic Graph Algorithms

Gramoz Goranci, Harald Räcke, Thatchaphol Saranurak +1

We introduce a notion for hierarchical graph clustering which we call the expander hierarchy and show a fully dynamic algorithm for maintaining such a hierarchy on a graph with …

cs.DS2017

Online Weighted Degree-Bounded Steiner Networks via Novel Online Mixed Packing/Covering

Sina Dehghani, Soheil Ehsani, MohammadTaghi Hajiaghayi +3

We design the first online algorithm with poly-logarithmic competitive ratio for the edge-weighted degree-bounded Steiner forest(EW-DB-SF) problem and its generalized variant. We o…

cs.DS2017

Online Degree-Bounded Steiner Network Design

Sina Dahghani, Soheil Ehsani, MohammadTaghi Hajiaghayi +2

We initiate the study of degree-bounded network design problems in the online setting. The degree-bounded Steiner tree problem { which asks for a subgraph with minimum degree that…

cs.DS2016

Vertex Sparsification in Trees

Gramoz Goranci, Harald Raecke

Given an unweighted tree with terminals , we show how to obtain a -quality vertex flow and cut sparsifier with . We prove that our result is…