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We give a deterministic $O(m\log^{2/3}n)$-time algorithm for single-source shortest paths (SSSP) on directed graphs with real non-negative edge weights in the comparison-addition model. This is the first result to break the $O(m+n\log n)$…

Data Structures and Algorithms · Computer Science 2025-07-31 Ran Duan , Jiayi Mao , Xiao Mao , Xinkai Shu , Longhui Yin

Reconfigurable optical topologies are emerging as a promising technology to improve the efficiency of datacenter networks. This paper considers the problem of scheduling opportunistic links in such reconfigurable datacenters. We study the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-16 Janardhan Kulkarni , Stefan Schmid , Paweł Schmidt

Mobile edge computing (MEC) emerges as a promising solution for servicing delay-sensitive tasks at the edge network. A body of recent literature started to focus on cost-efficient service placement and request scheduling. This work…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-27 Lina Su , Ne Wang , Ruiting Zhou , Zongpeng Li

We resolve a number of long-standing open problems in online graph coloring. More specifically, we develop tight lower bounds on the performance of online algorithms for fundamental graph classes. An important contribution is that our…

Data Structures and Algorithms · Computer Science 2017-07-04 Susanne Albers , Sebastian Schraink

We study algorithms for spectral graph sparsification. The input is a graph $G$ with $n$ vertices and $m$ edges, and the output is a sparse graph $\tilde{G}$ that approximates $G$ in an algebraic sense. Concretely, for all vectors $x$ and…

Data Structures and Algorithms · Computer Science 2013-11-19 Ioannis Koutis , Alex Levin , Richard Peng

Network Diversion is a graph problem that has been extensively studied in both the network-analysis and operations-research communities as a measure of how robust a network is against adversarial disruption. This problem is especially well…

Data Structures and Algorithms · Computer Science 2025-02-25 Matthias Bentert , Pål Grønås Drange , Fedor V. Fomin , Steinar Simonnes

We study the problem of estimating the number of edges in an $n$-vertex graph, accessed via the Bipartite Independent Set query model introduced by Beame et al. (ITCS '18). In this model, each query returns a Boolean, indicating the…

Data Structures and Algorithms · Computer Science 2022-07-07 Raghavendra Addanki , Andrew McGregor , Cameron Musco

Finding the origin of short phrases propagating through the web has been formalized by Leskovec et al. [ACM SIGKDD 2009] as DAG Partitioning: given an arc-weighted directed acyclic graph on $n$ vertices and $m$ arcs, delete arcs with total…

Data Structures and Algorithms · Computer Science 2017-02-02 René van Bevern , Robert Bredereck , Morgan Chopin , Sepp Hartung , Falk Hüffner , André Nichterlein , Ondřej Suchý

We give improved algorithms for maintaining edge-orientations of a fully-dynamic graph, such that the out-degree of each vertex is bounded. On one hand, we show how to orient the edges such that the out-degree of each vertex is proportional…

Data Structures and Algorithms · Computer Science 2023-02-16 Aleksander B. G. Christiansen , Jacob Holm , Ivor van der Hoog , Eva Rotenberg , Chris Schwiegelshohn

Estimating a directed acyclic graph (DAG) from observational data represents a canonical learning problem and has generated a lot of interest in recent years. Research has focused mostly on the following two cases: when no information…

Applications · Statistics 2019-02-15 Syed Rahman , Kshitij Khare , George Michailidis , Carlos Martinez , Juan Carulla

When facing a very large stream of data, it is often desirable to extract most important statistics online in a short time and using small memory. For example, one may want to quickly find the most influential users generating posts online…

Data Structures and Algorithms · Computer Science 2022-03-30 Dariusz R. Kowalski , Dominik Pajak

In this paper, we present enumeration algorithms to list all preferred extensions of an argumentation framework. This task is equivalent to enumerating all maximal semikernels of a directed graph. For directed graphs on $n$ vertices, all…

Data Structures and Algorithms · Computer Science 2019-07-03 Serge Gaspers , Ray Li

We consider ad-hoc networks consisting of $n$ wireless nodes that are located on the plane. Any two given nodes are called neighbors if they are located within a certain distance (communication range) from one another. A given node can be…

Networking and Internet Architecture · Computer Science 2018-11-29 Erdem Koyuncu , Hamid Jafarkhani

In the distributed backup-placement problem each node of a network has to select one neighbor, such that the maximum number of nodes that make the same selection is minimized. This is a natural relaxation of the perfect matching problem, in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-19 Leonid Barenboim , Gal Oren

We present improved distributed algorithms for triangle detection and its variants in the CONGEST model. We show that Triangle Detection, Counting, and Enumeration can be solved in $\tilde{O}(n^{1/2})$ rounds. In contrast, the previous…

Data Structures and Algorithms · Computer Science 2018-07-19 Yi-Jun Chang , Seth Pettie , Hengjie Zhang

In recent years, the problem of computing the frequencies of the induced $k$-vertex subgraphs of a graph, or \emph{$k$-graphlets}, has become central. One approach for this problem is to sample $k$-graphlets randomly. Classic algorithms for…

Data Structures and Algorithms · Computer Science 2026-04-29 Marco Bressan , T-H. Hubert Chan , Qipeng Kuang , Mauro Sozio

Given an undirected graph G, the edge orientation problem asks for assigning a direction to each edge to convert G into a directed graph. The aim is to minimize the maximum out degree of a vertex in the resulting directed graph. This…

Data Structures and Algorithms · Computer Science 2024-04-23 H. Reinstädtler , C. Schulz , B. Uçar

This paper improves and in two cases nearly settles, up to logarithmically lower-order factors, the deterministic complexity of some of the most central problems in distributed graph algorithms, which have been studied for over three…

Data Structures and Algorithms · Computer Science 2024-10-28 Mohsen Ghaffari , Christoph Grunau

We present semi-streaming algorithms for basic graph problems that have optimal per-edge processing times and therefore surpass all previous semi-streaming algorithms for these tasks. The semi-streaming model, which is appropriate when…

Discrete Mathematics · Computer Science 2007-09-03 Mariano Zelke

Network embedding is a very important method for network data. However, most of the algorithms can only deal with static networks. In this paper, we propose an algorithm Recurrent Neural Network Embedding (RNNE) to deal with dynamic…

Machine Learning · Computer Science 2020-07-01 Haiwei Huang , Jinlong Li , Huimin He , Huanhuan Chen