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While a natural fit for modeling and understanding mobile networks, time-varying graphs remain poorly understood. Indeed, many of the usual concepts of static graphs have no obvious counterpart in time-varying ones. In this paper, we…

Networking and Internet Architecture · Computer Science 2012-08-01 John Whitbeck , Marcelo Dias de Amorim , Vania Conan , Jean-Loup Guillaume

In 2015, it was shown that reachability for arbitrary directed graphs can be updated by first-order formulas after inserting or deleting single edges. Later, in 2018, this was extended for changes of size $\frac{\log n}{\log \log n}$, where…

Logic in Computer Science · Computer Science 2020-04-28 Samir Datta , Pankaj Kumar , Anish Mukherjee , Anuj Tawari , Nils Vortmeier , Thomas Zeume

Recent progress in research on Deep Graph Networks (DGNs) has led to a maturation of the domain of learning on graphs. Despite the growth of this research field, there are still important challenges that are yet unsolved. Specifically,…

Machine Learning · Computer Science 2024-04-10 Alessio Gravina , Davide Bacciu

We study the problem of answering k-hop reachability queries in a directed graph, i.e., whether there exists a directed path of length k, from a source query vertex to a target query vertex in the input graph. The problem of k-hop…

Databases · Computer Science 2012-08-02 James Cheng , Zechao Shang , Hong Cheng , Haixun Wang , Jeffrey Xu Yu

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

Distributed ledger technology such as blockchain is considered essential for supporting large numbers of micro-transactions in the Machine Economy, which is envisioned to involve billions of connected heterogeneous and decentralized…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-27 Christoffer Fink , Olov Schelén , Ulf Bodin

Dynamic graphs (DGs), which capture time-evolving relationships between graph entities, have widespread real-world applications. To efficiently encode DGs for downstream tasks, most dynamic graph neural networks follow the traditional…

Machine Learning · Computer Science 2025-01-31 Xiang Wu , Xunkai Li , Rong-Hua Li , Kangfei Zhao , Guoren Wang

Node classification on static graphs has achieved significant success, but achieving accurate node classification on dynamic graphs where node topology, attributes, and labels change over time has not been well addressed. Existing methods…

Social and Information Networks · Computer Science 2024-12-31 Xiaoxu Ma , Chen Zhao , Minglai Shao , Yujie Lin

Recently, Li et al. [2022] presented a dynamic Dyck-reachability algorithm for bidirected graphs. The basic idea is based on updating edge weights in a data structure called the merged graph $G_m$. As noted in Krishna et al. [2023], the…

Programming Languages · Computer Science 2024-01-09 Qirun Zhang

Detecting the dimensionality of graphs is a central topic in machine learning. While the problem has been tackled empirically as well as theoretically, existing methods have several drawbacks. On the one hand, empirical tools are…

Social and Information Networks · Computer Science 2024-08-16 Tobias Friedrich , Andreas Göbel , Maximilian Katzmann , Leon Schiller

Graph algorithms enormously contribute to the domains such as blockchains, social networks, biological networks, telecommunication networks, and several others. The ever-increasing demand of data-volume, as well as speed of such…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-04 Bapi Chatterjee , Sathya Peri , Muktikanta Sa

A fundamental algorithmic problem at the heart of static analysis is Dyck reachability. The input is a graph where the edges are labeled with different types of opening and closing parentheses, and the reachability information is computed…

Programming Languages · Computer Science 2019-10-02 Krishnendu Chatterjee , Bhavya Choudhary , Andreas Pavlogiannis

Real-world graphs, such as social networks, financial transactions, and recommendation systems, often demonstrate dynamic behavior. This phenomenon, known as graph stream, involves the dynamic changes of nodes and the emergence and…

Machine Learning · Computer Science 2023-05-16 Yanping Zheng , Zhewei Wei , Jiajun Liu

Reachability analysis aims at identifying states reachable by a system within a given time horizon. This task is known to be computationally expensive for linear hybrid systems. Reachability analysis works by iteratively applying continuous…

Systems and Control · Computer Science 2022-05-03 Sergiy Bogomolov , Marcelo Forets , Goran Frehse , Kostiantyn Potomkin , Christian Schilling

Random graph models are frequently used as a controllable and versatile data source for experimental campaigns in various research fields. Generating such data-sets at scale is a non-trivial task as it requires design decisions typically…

Data Structures and Algorithms · Computer Science 2020-03-03 Manuel Penschuck , Ulrik Brandes , Michael Hamann , Sebastian Lamm , Ulrich Meyer , Ilya Safro , Peter Sanders , Christian Schulz

Graph representation learning has recently been applied to a broad spectrum of problems ranging from computer graphics and chemistry to high energy physics and social media. The popularity of graph neural networks has sparked interest, both…

Machine Learning · Computer Science 2020-11-05 Fabrizio Frasca , Emanuele Rossi , Davide Eynard , Ben Chamberlain , Michael Bronstein , Federico Monti

Large graphs are present in a variety of domains, including social networks, civil infrastructure, and the physical sciences to name a few. Graph generation is similarly widespread, with applications in drug discovery, network analysis and…

Machine Learning · Computer Science 2023-11-08 Alex O. Davies , Nirav S. Ajmeri , Telmo M. Silva Filho

Computing a maximum independent set (MaxIS) is a fundamental NP-hard problem in graph theory, which has important applications in a wide spectrum of fields. Since graphs in many applications are changing frequently over time, the problem of…

Data Structures and Algorithms · Computer Science 2022-04-19 Xiangyu Gao , Jianzhong Li , Dongjing Miao

Recently it was shown that the transitive closure of a directed graph can be updated using first-order formulas after insertions and deletions of single edges in the dynamic descriptive complexity framework by Dong, Su, and Topor, and…

Logic in Computer Science · Computer Science 2018-04-25 Samir Datta , Anish Mukherjee , Nils Vortmeier , Thomas Zeume

Interactive graph search (IGS) uses human intelligence to locate the target node in hierarchy, which can be applied for image classification, product categorization and searching a database. Specifically, IGS aims to categorize an object…

Databases · Computer Science 2022-01-21 Qianhao Cong , Jing Tang , Yuming Huang , Lei Chen , Yeow Meng Chee
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