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Graph-based representations underlie a wide range of scientific problems. Graph connectivity is typically represented as a sparse matrix in the Compressed Sparse Row format. Large-scale graphs rely on distributed storage, allocating…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-14 Bruno Magalhaes , Felix Schürmann

Visual rendering of graphs is a key task in the mapping of complex network data. Although most graph drawing algorithms emphasize aesthetic appeal, certain applications such as travel-time maps place more importance on visualization of…

Machine Learning · Statistics 2013-02-06 Brian Baingana , Georgios B. Giannakis

Data storage in Distributed Storage Systems (DSSs) is a multidimensional optimization problem. Using network coding, one wants to provide reliability, scalability, security, reduced storage overhead, reduced bandwidth for repair and minimal…

Information Theory · Computer Science 2016-09-13 Shreyansh A. Prajapati , Manish K. Gupta

Graph diffusion generative models (GDGMs) have emerged as powerful tools for generating high-quality graphs. However, their broader adoption faces challenges in \emph{scalability and size generalization}. GDGMs struggle to scale to large…

Machine Learning · Computer Science 2025-08-21 Junwei Su , Shan Wu

This is the second part of the paper that provides a new strategy for the heterogeneous change detection (HCD) problem, that is, solving HCD from the perspective of graph signal processing (GSP). We construct a graph to represent the…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Yuli Sun , Lin Lei , Dongdong Guan , Gangyao Kuang , Li Liu

Many problems, especially those with a composite structure, can naturally be expressed in higher order logic. From a KR perspective modeling these problems in an intuitive way is a challenging task. In this paper we study the graph mining…

Logic in Computer Science · Computer Science 2016-09-01 Matthias van der Hallen , Sergey Paramonov , Michael Leuschel , Gerda Janssens

Big data storage management is one of the most challenging issues for Grid computing environments, since large amount of data intensive applications frequently involve a high degree of data access locality. Grid applications typically deal…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-07-13 Ajay Kumar , Seema Bawa

Vertex Subset Problems (VSPs) are a class of combinatorial optimization problems on graphs where the goal is to find a subset of vertices satisfying a predefined condition. Two prominent approaches for solving VSPs are dynamic programming…

Data Structures and Algorithms · Computer Science 2026-01-14 Mateus de Oliveira Oliveira , Wim Van den Broeck

Graph partitioning is an important preprocessing step to distributed graph processing. In edge partitioning, the edge set of a given graph is split into $k$ equally-sized partitions, such that the replication of vertices across partitions…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-22 Ruben Mayer , Kamil Orujzade , Hans-Arno Jacobsen

Structured Cartesian grids are a fundamental component in numerical simulations. Although these grids facilitate straightforward discretization schemes, their na\"{i}ve use in sparse domains leads to excessive memory overhead and…

Computational Engineering, Finance, and Science · Computer Science 2025-12-15 Fan Gu , Xiangyu Hu

This paper investigates secure storage codes over graphs, where multiple independent source symbols are encoded and stored at graph nodes subject to edge-wise correctness and security constraints. For each edge, a specified subset of source…

Information Theory · Computer Science 2026-01-13 Zhou Li

Given a graph $G$, the optimization version of the graph burning problem seeks for a sequence of vertices, $(u_1,u_2,...,u_p) \in V(G)^p$, with minimum $p$ and such that every $v \in V(G)$ has distance at most $p-i$ to some vertex $u_i$.…

Discrete Mathematics · Computer Science 2025-03-07 Jesús García-Díaz , José Alejandro Cornejo-Acosta , Joel Trejo Sánchez

The explosion in the volumes of data being stored online has resulted in distributed storage systems transitioning to erasure coding based schemes. Yet, the codes being deployed in practice are fairly short. In this work, we address what we…

Information Theory · Computer Science 2016-09-22 Parikshit Gopalan , Guangda Hu , Swastik Kopparty , Shubhangi Saraf , Carol Wang , Sergey Yekhanin

Graph clustering is a fundamental technique in data analysis with applications in many different fields. While there is a large body of work on clustering undirected graphs, the problem of clustering directed graphs is much less understood.…

Physics and Society · Physics 2025-01-31 James Martin , Tim Rogers , Luca Zanetti

Car-sharing issue is a popular research field in sharing economy. In this paper, we investigate the car-sharing relocation problem (CSRP) under uncertain demands. Normally, the real customer demands follow complicating probability…

Optimization and Control · Mathematics 2020-01-23 Xiaoming Li , Chun Wang , Xiao Huang

Federated learning is an emerging paradigm for decentralized training of machine learning models on distributed clients, without revealing the data to the central server. Most existing works have focused on horizontal or vertical data…

Machine Learning · Computer Science 2024-04-16 Jaeyeon Jang , Diego Klabjan , Veena Mendiratta , Fanfei Meng

This paper addresses the problem of efficiently storing and accessing massive data blocks in a large-scale distributed environment, while providing efficient fine-grain access to data subsets. This issue is crucial in the context of…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-10-14 Bogdan Nicolae , Gabriel Antoniu , Luc Bougé

Graph spanners are sparse subgraphs which approximately preserve all pairwise shortest-path distances in an input graph. The notion of approximation can be additive, multiplicative, or both, and many variants of this problem have been…

Data Structures and Algorithms · Computer Science 2019-11-19 Manuel Fernandez , David P. Woodruff , Taisuke Yasuda

This paper deals with the problem of finding, for a given graph and a given natural number k, a subgraph of k nodes with a maximum number of edges. This problem is known as the k-cluster problem and it is NP-hard on general graphs as well…

Data Structures and Algorithms · Computer Science 2011-11-09 George B. Mertzios

Formulate the problem as follows. Split a file into n pieces so that it can be restored without any m parts (1<=m<=n). Such problems are called problems secret sharing. There exists a set of methods for solving such problems, but they all…

Data Structures and Algorithms · Computer Science 2010-09-10 Oleg Titov