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Recently it was shown that many classic graph problems -- Independent Set, Dominating Set, Hamiltonian Cycle, and more -- can be solved in subexponential time on unit-ball graphs. More precisely, these problems can be solved in…

Computational Geometry · Computer Science 2026-01-14 Mark de Berg , Sándor Kisfaludi-Bak

Scheduling a set of jobs over a collection of machines is a fundamental problem that needs to be solved millions of times a day in various computing platforms: in operating systems, in large data clusters, and in data centers. Along with…

Data Structures and Algorithms · Computer Science 2018-07-10 Janardhan Kulkarni , Shi Li

GPUs in High-Performance Computing systems remain under-utilised due to the unavailability of schedulers that can safely schedule multiple applications to share the same GPU. The research reported in this paper is motivated to improve the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-12-14 Carlos Reano , Federico Silla , Dimitrios S. Nikolopoulos , Blesson Varghese

Designing well-connected graphs is a fundamental problem that frequently arises in various contexts across science and engineering. The weighted number of spanning trees, as a connectivity measure, emerges in numerous problems and plays a…

Data Structures and Algorithms · Computer Science 2016-04-13 Kasra Khosoussi , Gaurav S. Sukhatme , Shoudong Huang , Gamini Dissanayake

One of the major optimizations employed in deep learning frameworks is graph rewriting. Production frameworks rely on heuristics to decide if rewrite rules should be applied and in which order. Prior research has shown that one can discover…

Artificial Intelligence · Computer Science 2021-03-18 Yichen Yang , Phitchaya Mangpo Phothilimtha , Yisu Remy Wang , Max Willsey , Sudip Roy , Jacques Pienaar

With the rapid advancement of Artificial Intelligence, the Graphics Processing Unit (GPU) has become increasingly essential across a growing number of safety-critical application domains. Applying a GPU is indispensable for parallel…

Operating Systems · Computer Science 2026-02-25 Yuanhai Zhang , Songyang He , Ruizhe Gou , Mingyue Cui , Boyang Li , Shuai Zhao , Kai Huang

The scheduling and schedulability analysis of real-time directed acyclic graph (DAG) task systems have received much recent attention. The DAG model can accurately represent intra-task parallelim and precedence constraints existing in many…

Operating Systems · Computer Science 2018-08-02 Zheng Dong , Cong Liu

Combinatorial optimization algorithms for graph problems are usually designed afresh for each new problem with careful attention by an expert to the problem structure. In this work, we develop a new framework to solve any combinatorial…

We formulate and study a fundamental search and detection problem, Schedule Optimization, motivated by a variety of real-world applications, ranging from monitoring content changes on the web, social networks, and user activities to…

Data Structures and Algorithms · Computer Science 2015-09-11 Ahmad Mahmoody , Evgenios M. Kornaropoulos , Eli Upfal

The goal of the thesis is to leverage fast graph algorithms and modern algorithmic techniques for problems in model checking and synthesis on graphs, MDPs, and game graphs. The results include symbolic algorithms, a well-known class of…

Logic in Computer Science · Computer Science 2022-02-08 Alexander Svozil

The Unrelated Parallel Machine Scheduling Problem (UPMSP) with release dates, setups, and eligibility constraints presents a significant multi-objective challenge. Traditional methods struggle to balance minimizing Total Weighted Tardiness…

Artificial Intelligence · Computer Science 2026-02-10 Bulent Soykan , Sean Mondesire , Ghaith Rabadi , Grace Bochenek

From natural language processing to genome sequencing, large-scale machine learning models are bringing advances to a broad range of fields. Many of these models are too large to be trained on a single machine, and instead must be…

Machine Learning · Computer Science 2023-02-01 Christopher W. F. Parsonson , Zacharaya Shabka , Alessandro Ottino , Georgios Zervas

We consider the problem of scheduling $n$ jobs on $m$ uniform machines while minimizing the makespan ($Q||C_{\max}$) and maximizing the minimum completion time ($Q||C_{\min}$) in an online setting with migration of jobs. In this online…

Data Structures and Algorithms · Computer Science 2025-08-13 Hauke Brinkop , David Fischer , Klaus Jansen

Nowadays, it has become feasible to use mobile nodes as contributing entities in computing systems. In this paper, we consider a computational grid in which the mobile devices can share their idle resources to realize parallel processing.…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-20 Jiadi Chen , Qiang Zheng , Hang Long , Wenbo Wang

Massively-parallel graph algorithms have received extensive attention over the past decade, with research focusing on three memory regimes: the superlinear regime, the near-linear regime, and the sublinear regime. The sublinear regime is…

Data Structures and Algorithms · Computer Science 2023-03-01 Orr Fischer , Adi Horowitz , Rotem Oshman

The problem of scheduling non-simultaneously released jobs with due dates on a single machine with the objective to minimize the maximum job lateness is known to be strongly NP-hard. Here we consider an extended model in which the…

Optimization and Control · Mathematics 2023-06-16 Nodari Vakhania , Frank Werner , Alejandro Reynoso

Dominating set problems are among the most important class of combinatorial problems in graph optimization, from a theoretical as well as from a practical point of view. In this paper, we address the recently introduced (minimum) weighted…

Optimization and Control · Mathematics 2019-10-09 Eduardo Álvarez-Miranda , Markus Sinnl

We study the approximability of a number of graph problems: treewidth and pathwidth of graphs, one-shot black (and black-white) pebbling costs of directed acyclic graphs, and a variety of different graph layout problems such as minimum cut…

Computational Complexity · Computer Science 2011-09-23 Per Austrin , Toniann Pitassi , Yu Wu

GPU (graphics processing unit) has been used for many data-intensive applications. Among them, deep learning systems are one of the most important consumer systems for GPU nowadays. As deep learning applications impose deeper and larger…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-18 Junzhe Zhang , Sai Ho Yeung , Yao Shu , Bingsheng He , Wei Wang

We study the scheduling problem of makespan minimization while taking machine conflicts into account. Machine conflicts arise in various settings, e.g., shared resources for pre- and post-processing of tasks or spatial restrictions. In this…

Discrete Mathematics · Computer Science 2021-11-15 Moritz Buchem , Linda Kleist , Daniel Schmidt genannt Waldschmidt
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