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A common approach for designing scalable algorithms for massive data sets is to distribute the computation across, say $k$, machines and process the data using limited communication between them. A particularly appealing framework here is…

Data Structures and Algorithms · Computer Science 2017-05-24 Sepehr Assadi , Sanjeev Khanna

We develop a general deterministic distributed method for locally rounding fractional solutions of graph problems for which the analysis can be broken down into analyzing pairs of vertices. Roughly speaking, the method can transform…

Data Structures and Algorithms · Computer Science 2022-09-26 Salwa Faour , Mohsen Ghaffari , Christoph Grunau , Fabian Kuhn , Václav Rozhoň

We consider the problem of distributing a file in a network of storage nodes whose storage budget is limited but at least equals to the size file. We first generate $T$ encoded symbols (from the file) which are then distributed among the…

Information Theory · Computer Science 2010-05-31 Mohsen Sardari , Ricardo Restrepo , Faramarz Fekri , Emina Soljanin

We consider the problem of finding a minimum edge cost subgraph of a graph satisfying both given node-connectivity requirements and degree upper bounds on nodes. We present an iterative rounding algorithm of the biset LP relaxation for this…

Data Structures and Algorithms · Computer Science 2015-08-11 Takuro Fukunaga , Zeev Nutov , R. Ravi

In the correlation clustering problem for complete signed graphs, the input is a complete signed graph with edges weighted as $+1$ (denote recommendation to put this pair in the same cluster) or $-1$ (recommending to put this pair of…

Data Structures and Algorithms · Computer Science 2022-11-15 Ali Shakiba

Searching for other participants is one of the most important operations in a distributed system. We are interested in topologies in which it is possible to route a packet in a fixed number of hops until it arrives at its destination. Given…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-12-18 Michael Feldmann , Christian Scheideler

Solving linear programs is often a challenging task in distributed settings. While there are good algorithms for solving packing and covering linear programs in a distributed manner (Kuhn et al.~2006), this is essentially the only class of…

Data Structures and Algorithms · Computer Science 2017-09-12 Michael Dinitz , Yasamin Nazari

The study of approximate matching in the Massively Parallel Computations (MPC) model has recently seen a burst of breakthroughs. Despite this progress, however, we still have a far more limited understanding of maximal matching which is one…

Data Structures and Algorithms · Computer Science 2023-10-17 Soheil Behnezhad , MohammadTaghi Hajiaghayi , David G. Harris

Online algorithms make decisions based on past inputs. In general, the decision may depend on the entire history of inputs. If many computers run the same online algorithm with the same input stream but are started at different times, they…

Data Structures and Algorithms · Computer Science 2022-10-14 Maciej Pacut , Mahmoud Parham , Joel Rybicki , Stefan Schmid , Jukka Suomela , Aleksandr Tereshchenko

Following [21, 23], the present work investigates a new relative entropy-regularized algorithm for solving the optimal transport on a graph problem within the randomized shortest paths formalism. More precisely, a unit flow is injected into…

Machine Learning · Computer Science 2021-09-21 Sylvain Courtain , Guillaume Guex , Ilkka Kivimaki , Marco Saerens

Local graph clustering is an important algorithmic technique for analysing massive graphs, and has been widely applied in many research fields of data science. While the objective of most (local) graph clustering algorithms is to find a…

Data Structures and Algorithms · Computer Science 2021-06-10 Peter Macgregor , He Sun

A distributed graph algorithm is basically an algorithm where every node of a graph can look at its neighborhood at some distance in the graph and chose its output. As distributed environment are subject to faults, an important issue is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-22 Laurent Feuilloley

We study the fair k-set selection problem where we aim to select $k$ sets from a given set system such that the (weighted) occurrence times that each element appears in these $k$ selected sets are balanced, i.e., the maximum (weighted)…

Data Structures and Algorithms · Computer Science 2025-05-20 Shi Li , Chenyang Xu , Ruilong Zhang

Correlation clustering is a central topic in unsupervised learning, with many applications in ML and data mining. In correlation clustering, one receives as input a signed graph and the goal is to partition it to minimize the number of…

Data Structures and Algorithms · Computer Science 2021-06-17 Vincent Cohen-Addad , Silvio Lattanzi , Slobodan Mitrović , Ashkan Norouzi-Fard , Nikos Parotsidis , Jakub Tarnawski

To ensure high availability, datacenter networks must rely on local fast rerouting mechanisms that allow routers to quickly react to link failures, in a fully decentralized manner. However, configuring these mechanisms to provide a high…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-19 Gregor Bankhamer , Robert Elsässer , Stefan Schmid

We study local aggregation and graph analysis in distributed environments using the message passing model. We provide a flexible framework, where each of the nodes in a set $S$--which is a subset of all nodes in the network--can perform a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-24 Benjamin Dissler , Stephan Holzer , Roger Wattenhofer

Max-k-Cut and correlation clustering are fundamental graph partitioning problems. For a graph with G=(V,E) with n vertices, the methods with the best approximation guarantees for Max-k-Cut and the Max-Agree variant of correlation clustering…

Optimization and Control · Mathematics 2021-10-28 Nimita Shinde , Vishnu Narayanan , James Saunderson

The decision problem of perfect matchings in uniform hypergraphs is famously an NP-complete problem. It has been shown by Keevash--Knox--Mycroft [STOC, 2013] that for every $\varepsilon>0$, such decision problem restricted to $k$-uniform…

Combinatorics · Mathematics 2025-10-23 Jie Han , Jingwen Zhao

Distributed parameter estimation for large-scale systems is an active research problem. The goal is to derive a distributed algorithm in which each agent obtains a local estimate of its own subset of the global parameter vector, based on…

Multiagent Systems · Computer Science 2018-06-26 Tianju Sui , Damián Marelli , Minyue Fu , Renquan Lu

Given a large network and a query node, finding its top-k similar nodes is a primitive operation in many graph-based applications. Recently enhancing search results with diversification have received much attention. In this paper, we…

Information Retrieval · Computer Science 2016-08-19 Zaiqiao Meng , Hong Shen