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Online load balancing for heterogeneous machines aims to minimize the makespan (maximum machine workload) by scheduling arriving jobs with varying sizes on different machines. In the adversarial setting, where an adversary chooses not only…

Data Structures and Algorithms · Computer Science 2024-05-22 Sungjin Im , Ravi Kumar , Shi Li , Aditya Petety , Manish Purohit

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 of self-adjusting infrastructures whose resources can be…

Data Structures and Algorithms · Computer Science 2023-04-21 Harald Räcke , Stefan Schmid , Ruslan Zabrodin

Several clustering frameworks with interactive (semi-supervised) queries have been studied in the past. Recently, clustering with same-cluster queries has become popular. An algorithm in this setting has access to an oracle with full…

Data Structures and Algorithms · Computer Science 2019-08-15 Barna Saha , Sanjay Subramanian

A mobile agent, starting from a node $s$ of a simple undirected connected graph $G=(V,E)$, has to explore all nodes and edges of $G$ using the minimum number of edge traversals. To do so, the agent uses a deterministic algorithm that allows…

Data Structures and Algorithms · Computer Science 2024-10-18 Stéphane Devismes , Yoann Dieudonné , Arnaud Labourel

In the minimum planarization problem, given some $n$-vertex graph, the goal is to find a set of vertices of minimum cardinality whose removal leaves a planar graph. This is a fundamental problem in topological graph theory. We present a…

Data Structures and Algorithms · Computer Science 2017-08-17 Ken-ichi Kawarabayashi , Anastasios Sidiropoulos

In the distributed triangle detection problem, we have an $n$-vertex network $G=(V,E)$ with one player for each vertex of the graph who sees the edges incident on the vertex. The players communicate in synchronous rounds using the edges of…

Data Structures and Algorithms · Computer Science 2025-08-14 Sepehr Assadi , Janani Sundaresan

The {Congested Clique} is a distributed-computing model for single-hop networks with restricted bandwidth that has been very intensively studied recently. It models a network by an $n$-vertex graph in which any pair of vertices can…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-21 Leonid Barenboim , Victor Khazanov

We study an edge-weighted online stochastic \emph{Generalized Assignment Problem} with \emph{unknown} Poisson arrivals. In this model, we consider a bipartite graph that contains offline bins and online items, where each offline bin is…

Computer Science and Game Theory · Computer Science 2023-05-25 Zihao Li , Hao Wang , Zhenzhen Yan

We analyze the Disjoint Path Allocation problem (DPA) in the priority framework. Motivated by the problem of traffic regulation in communication networks, DPA consists of allocating edge-disjoint paths in a graph. While online algorithms…

Data Structures and Algorithms · Computer Science 2022-04-29 Hans-Joachim Böckenhauer , Fabian Frei , Silvan Horvath

We study the online stochastic matching problem. Consider a bipartite graph with offline vertices on one side, and with i.i.d.online vertices on the other side. The offline vertices and the distribution of online vertices are known to the…

Data Structures and Algorithms · Computer Science 2021-03-26 Zhiyi Huang , Xinkai Shu

In this work we consider temporal graphs, i.e. graphs, each edge of which is assigned a set of discrete time-labels drawn from a set of integers. The labels of an edge indicate the discrete moments in time at which the edge is available. We…

Data Structures and Algorithms · Computer Science 2013-10-30 Paul G. Spirakis , Eleni Ch. Akrida

In this paper we consider the Stochastic Matching problem, which is motivated by applications in kidney exchange and online dating. We are given an undirected graph in which every edge is assigned a probability of existence and a positive…

Data Structures and Algorithms · Computer Science 2015-05-07 Marek Adamczyk , Fabrizio Grandoni , Joydeep Mukherjee

We study the problem of estimating the number of edges of an unknown, undirected graph $G=([n],E)$ with access to an independent set oracle. When queried about a subset $S\subseteq [n]$ of vertices the independent set oracle answers whether…

Data Structures and Algorithms · Computer Science 2019-07-11 Xi Chen , Amit Levi , Erik Waingarten

We present a deterministic distributed algorithm that computes a $(2\Delta-1)$-edge-coloring, or even list-edge-coloring, in any $n$-node graph with maximum degree $\Delta$, in $O(\log^7 \Delta \log n)$ rounds. This answers one of the…

Data Structures and Algorithms · Computer Science 2017-04-11 Manuela Fischer , Mohsen Ghaffari , Fabian Kuhn

The constrained path optimization (CPO) problem takes the following input: (a) a road network represented as a directed graph, where each edge is associated with a "cost" and a "score" value; (b) a source-destination pair and; (c) a budget…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-05 Kousik Kumar Dutta , Ankita Dewan , Venkata M. V. Gunturi

Collaborative edge computing (CEC) is an emerging paradigm where heterogeneous edge devices collaborate to fulfill computation tasks, such as model training or video processing, by sharing communication and computation resources.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-27 Jinkun Zhang , Yuezhou Liu , Edmund Yeh

Internet supercomputing is an approach to solving partitionable, computation-intensive problems by harnessing the power of a vast number of interconnected computers. This paper presents a new algorithm for the problem of using network…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-03 Seda Davtyan , Kishori M. Konwar , Alexander Russell , Alexander A. Shvartsman

We consider the Stochastic Matching problem, which is motivated by applications in kidney exchange and online dating. In this problem, we are given an undirected graph. Each edge is assigned a known, independent probability of existence and…

Data Structures and Algorithms · Computer Science 2020-10-19 Marek Adamczyk , Brian Brubach , Fabrizio Grandoni , Karthik A. Sankararaman , Aravind Srinivasan , Pan Xu

This paper addresses a new variant of the multi-trip single vehicle routing problem where the nodes are related to each other through AND-type precedence constraints. The problem aims at determining a sequence of trips to visit all the…

Optimization and Control · Mathematics 2021-06-04 Mina Roohnavazfar , Seyed Hamid Reza Pasandideh

We introduce a class of budgeted prize-collecting covering subgraph problems. For an input graph with prizes on the vertices and costs on the edges, the aim of these problems is to find a connected subgraph such that the cost of its edges…

Optimization and Control · Mathematics 2021-08-05 Nicola Morandi , Roel Leus , Hande Yaman