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20082023
most citedLocal Computation: Lower and Upper Bounds

38 citations · 178 across the 46 of their papers we have counts for

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Showing 2019Show all

7 papers · 1 filter

cs.DC2019

Efficient Deterministic Distributed Coloring with Small Bandwidth

Philipp Bamberger, Fabian Kuhn, Yannic Maus

We show that the -list coloring problem can be solved deterministically in rounds in the \CONGEST model, where is the diameter of t…

cs.DC2019

Shortest Paths in a Hybrid Network Model

John Augustine, Kristian Hinnenthal, Fabian Kuhn +2

We introduce a communication model for hybrid networks, where nodes have access to two different communication modes: a local mode where communication is only possible between spec…

cs.DS2019★ 1 cited

Faster Deterministic Distributed Coloring Through Recursive List Coloring

Fabian Kuhn

We provide novel deterministic distributed vertex coloring algorithms. As our main result, we give a deterministic distributed algorithm to compute a -coloring of an -nod…

cs.DS2019

On the Use of Randomness in Local Distributed Graph Algorithms

Mohsen Ghaffari, Fabian Kuhn

We attempt to better understand randomization in local distributed graph algorithms by exploring how randomness is used and what we can gain from it: - We first ask the question of…

cs.DC2019★ 5 cited

On the Complexity of Distributed Splitting Problems

Philipp Bamberger, Mohsen Ghaffari, Fabian Kuhn +2

One of the fundamental open problems in the area of distributed graph algorithms is the question of whether randomization is needed for efficient symmetry breaking. While there are…

cs.DS2019

Deterministic Distributed Dominating Set Approximation in the CONGEST Model

Janosch Deurer, Fabian Kuhn, Yannic Maus

We develop deterministic approximation algorithms for the minimum dominating set problem in the CONGEST model with an almost optimal approximation guarantee. For $ε>1/{\text{poly}}…