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Rank of divisor on graph was introduced in 2007 and it quickly attracts many attentions. Recently, in 2015 the problem for computing this quantity was proved to be NP-hard. In this paper, we describe a linear time algorithm for this problem…

Combinatorics · Mathematics 2016-01-14 Phan Thi Ha Duong

Task graph scheduling is a relevant problem in computer science with application to diverse real world domains. Task graph scheduling suffers from a combinatorial explosion and thus finding optimal schedulers is a difficult task. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-26 Anne Ejsing , Martin Jensen , Marco Muñiz , Jacob Nørhave , Lars Rechter

Estimating the structure of directed acyclic graphs (DAGs) from observational data remains a significant challenge in machine learning. Most research in this area concentrates on learning a single DAG for the entire population. This paper…

Machine Learning · Statistics 2024-02-21 Ryan Thompson , Edwin V. Bonilla , Robert Kohn

We propose an exact algorithm for solving the longest simple path problem between two given vertices in undirected weighted graphs. By using graph partitioning and dynamic programming, we obtain an algorithm that is significantly faster…

Data Structures and Algorithms · Computer Science 2019-05-10 Kai Fieger , Tomas Balyo , Christian Schulz , Dominik Schreiber

Causal DAGs(Directed Acyclic Graphs) are usually considered in a 2D plane. Edges indicate causal effects' directions and imply their corresponding time-passings. Due to the natural restriction of statistical models, effect estimation is…

Machine Learning · Computer Science 2023-09-26 Jia Li , Xiang Li , Xiaowei Jia , Michael Steinbach , Vipin Kumar

The problem of scheduling jobs on parallel machines (identical, uniform, or unrelated), under incompatibility relation modeled as a block graph, under the makespan optimality criterion, is considered in this paper. No two jobs that are in…

Discrete Mathematics · Computer Science 2024-03-05 Hanna Furmańczyk , Tytus Pikies , Inka Sokołowska , Krzysztof Turowski

Funnels are a new natural subclass of DAGs. Intuitively, a DAG is a funnel if every source-sink path can be uniquely identified by one of its arcs. Funnels are an analog to trees for directed graphs that is more restrictive than DAGs but…

Data Structures and Algorithms · Computer Science 2018-02-01 Marcelo Garlet Millani , Hendrik Molter , Rolf Niedermeier , Manuel Sorge

By integrating edge computing with parallel computing, distributed edge computing (DEC) makes use of distributed devices in edge networks to perform computing in parallel, which can substantially reduce service delays. In this paper, we…

Networking and Internet Architecture · Computer Science 2020-02-10 Xiaowen Gong

Modern machine learning workloads use large models, with complex structures, that are very expensive to execute. The devices that execute complex models are becoming increasingly heterogeneous as we see a flourishing of domain-specific…

Machine Learning · Computer Science 2020-11-02 Jakub Tarnawski , Amar Phanishayee , Nikhil R. Devanur , Divya Mahajan , Fanny Nina Paravecino

With the emergence of heterogeneous hardware paving the way for the post-Moore era, it is of high importance to adapt the runtime scheduling to the platform's heterogeneity. To enhance adaptive and responsive scheduling, we introduce a…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-01 Jing Chen , Pirah Noor Soomro , Mustafa Abduljabbar , Miquel Pericàs

Imprecise computations provide an avenue for scheduling algorithms developed for energy-constrained computing devices by trading off output quality with the utilization of system resources. This work proposes a method for scheduling task…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-14 Amirhossein Esmaili , Mahdi Nazemi , Massoud Pedram

We establish finite-sample guarantees for a polynomial-time algorithm for learning a nonlinear, nonparametric directed acyclic graphical (DAG) model from data. The analysis is model-free and does not assume linearity, additivity,…

Machine Learning · Statistics 2020-11-12 Ming Gao , Yi Ding , Bryon Aragam

In this paper, we investigate the use of the deep learning method for solving a well-known NP-hard single machine scheduling problem with the objective of minimizing the total tardiness. We propose a deep neural network that acts as a…

Optimization and Control · Mathematics 2024-02-28 Michal Bouška , Přemysl Šůcha , Antonín Novák , Zdeněk Hanzálek

Transaction scheduling is crucial to efficiently allocate shared resources in a conflict-free manner in distributed systems. We investigate the efficient scheduling of transactions in a network of fog-cloud computing model, where…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-14 Ramesh Adhikari , Costas Busch , Pavan Poudel

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

Many graph problems can be solved using ordered parallel graph algorithms that achieve significant speedup over their unordered counterparts by reducing redundant work. This paper introduces a new priority-based extension to GraphIt, a…

Programming Languages · Computer Science 2020-01-28 Yunming Zhang , Ajay Brahmakshatriya , Xinyi Chen , Laxman Dhulipala , Shoaib Kamil , Saman Amarasinghe , Julian Shun

As multicore hardware is becoming increasingly common in real-time systems, traditional scheduling techniques that assume a single worst-case execution time for a task are no longer adequate, since they ignore the impact of shared resources…

Operating Systems · Computer Science 2025-01-16 Robert Gifford , Abby Eisenklam , Georgiy A. Bondar , Yifan Cai , Tushar Sial , Linh Thi Xuan Phan , Abhishek Halder

A recent approach to building consensus protocols on top of Directed Acyclic Graphs (DAGs) shows much promise due to its simplicity and stable throughput. However, as each node in the DAG typically includes a linear number of references to…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-03 Michael Anoprenko , Andrei Tonkikh , Alexander Spiegelman , Petr Kuznetsov , Anatoliy Zinovyev , Konstantin Shprenger

This paper explores the application of a new algebraic method of edge coloring, called complex coloring, to the scheduling problems of input queued switches. The proposed distributed parallel scheduling algorithm possesses two important…

Networking and Internet Architecture · Computer Science 2016-06-24 Lingkang Wang , Tong Ye , Tony T. Lee , Weisheng Hu

Task graphs have been studied for decades as a foundation for scheduling irregular parallel applications and incorporated in programming models such as OpenMP. While many high-performance parallel libraries are based on task graphs, they…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-09 Seonmyeong Bak , Oscar Hernandez , Mark Gates , Piotr Luszczek , Vivek Sarkar