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We study the problem of computing a minimum equivalent digraph (also known as the problem of computing a strong transitive reduction) and its maximum objective function variant, with two types of extensions. First, we allow to declare a set…

Computational Complexity · Computer Science 2008-09-02 Piotr Berman , Bhaskar DasGupta , Marek Karpinski

We address the problem of reasoning on graph transformations featuring actions such as \emph{addition} and \emph{deletion} of nodes and edges, node \emph{merging} and \emph{cloning}, node or edge \emph{labelling} and edge…

Logic in Computer Science · Computer Science 2018-03-08 Jon Haël Brenas , Rachid Echahed , Martin Strecker

Graph pattern matching, which aims to discover structural patterns in graphs, is considered one of the most fundamental graph mining problems in many real applications. Despite previous efforts, existing systems face two main challenges.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-30 Tianhui Shi , Mingshu Zhai , Yi Xu , Jidong Zhai

We show theoretically and empirically that the linear Transformer, when applied to graph data, can implement algorithms that solve canonical problems such as electric flow and eigenvector decomposition. The Transformer has access to…

Machine Learning · Computer Science 2025-03-04 Xiang Cheng , Lawrence Carin , Suvrit Sra

Reinforcement learning (RL) has been widely applied to dynamic routing, modulation and spectrum assignment (RMSA) in optical networks, yet no prior work has trained a transformer model for this task. We attribute this to the high data and…

Networking and Internet Architecture · Computer Science 2026-05-19 Michael Doherty , Alejandra Beghelli , Laura Toni

The quantum query complexity of subgraph-containment problems, which ask whether a given subgraph $H$ is present in an input graph $G$, has been the subject of considerable study. However, even for relatively simple subgraphs, such as paths…

Quantum Physics · Physics 2026-05-12 Arjan Cornelissen , Amin Shiraz Gilani , Subhasree Patro

We study reconfiguration problems for cliques in a graph, which determine whether there exists a sequence of cliques that transforms a given clique into another one in a step-by-step fashion. As one step of a transformation, we consider…

Data Structures and Algorithms · Computer Science 2014-12-15 Takehiro Ito , Hirotaka Ono , Yota Otachi

Graph processing is used extensively in areas from social networking mining to web indexing. We demonstrate that the performance and dependability of such applications critically hinges on the graph data structure used, because a fixed,…

Programming Languages · Computer Science 2014-12-30 Amlan Kusum , Iulian Neamtiu , Rajiv Gupta

The celebrated Sequence to Sequence learning (Seq2Seq) technique and its numerous variants achieve excellent performance on many tasks. However, many machine learning tasks have inputs naturally represented as graphs; existing Seq2Seq…

Artificial Intelligence · Computer Science 2018-12-04 Kun Xu , Lingfei Wu , Zhiguo Wang , Yansong Feng , Michael Witbrock , Vadim Sheinin

Analytics on large-scale graphs have posed significant challenges to computational efficiency and resource requirements. Recently, Graph condensation (GC) has emerged as a solution to address challenges arising from the escalating volume of…

Machine Learning · Computer Science 2024-02-06 Hongjia Xu , Liangliang Zhang , Yao Ma , Sheng Zhou , Zhuonan Zheng , Bu Jiajun

A graph-theoretic analysis of the steady-state behavior of an open Jackson queueing network is developed. In particular, a number of queueing-network performance metrics are shown to exhibit a spatial dependence on local drivers (e.g.…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Chenyan Zhu , Sandip Roy

Epistemic graphs are a generalization of the epistemic approach to probabilistic argumentation. Hunter proposed a 2-way generalization framework to learn epistemic constraints from crowd-sourcing data. However, the learnt epistemic…

Artificial Intelligence · Computer Science 2023-06-08 Xiao Chi

The Transformer architecture has achieved remarkable success in a number of domains including natural language processing and computer vision. However, when it comes to graph-structured data, transformers have not achieved competitive…

Machine Learning · Computer Science 2022-10-11 Zaixi Zhang , Qi Liu , Qingyong Hu , Chee-Kong Lee

Graph problems such as traveling salesman problem, or finding minimal Steiner trees are widely studied and used in data engineering and computer science. Typically, in real-world applications, the features of the graph tend to change over…

Machine Learning · Computer Science 2022-01-14 Udesh Gunarathna , Renata Borovica-Gajic , Shanika Karunasekara , Egemen Tanin

We present an output-sensitive algorithm for evaluating an acyclic Conjunctive Regular Path Query (CRPQ). Its complexity is written in terms of the input size, the output size, and a well-known parameter of the query that is called the…

Databases · Computer Science 2026-03-17 Mahmoud Abo Khamis , Alexandru-Mihai Hurjui , Ahmet Kara , Dan Olteanu , Dan Suciu

We consider the problem of controlling a partially-observed dynamic process on a graph by a limited number of interventions. This problem naturally arises in contexts such as scheduling virus tests to curb an epidemic; targeted marketing in…

Machine Learning · Computer Science 2021-07-12 Eli A. Meirom , Haggai Maron , Shie Mannor , Gal Chechik

Graphs face challenges when dealing with massive datasets. They are essential tools for modeling interconnected data and often become computationally expensive. Graph embedding techniques, on the other hand, provide an efficient approach.…

Databases · Computer Science 2024-12-16 Plácido A Souza Neto

Graph isomorphism is an important problem as its worst-case time complexity is not yet fully understood. In this study, we try to draw parallels between a related optimization problem called point set registration. A graph can be…

Optimization and Control · Mathematics 2021-11-19 Yigit Oktar

Continual Graph Learning (CGL) enables models to incrementally learn from streaming graph-structured data without forgetting previously acquired knowledge. Experience replay is a common solution that reuses a subset of past samples during…

Machine Learning · Computer Science 2026-03-31 Qiao Yuan , Sheng-Uei Guan , Pin Ni , Tianlun Luo , Ka Lok Man , Prudence Wong , Victor Chang

This paper focuses on finite-time in-network computation of linear transforms of distributed graph data. Finite-time transform computation problems are of interest in graph-based computing and signal processing applications in which the…

Optimization and Control · Mathematics 2021-04-06 Soummya Kar , Markus Püschel , José M. F. Moura
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