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The graph matching problem is a significant special case of the Quadratic Assignment Problem, with extensive applications in pattern recognition, computer vision, protein alignments and related fields. As the problem is NP-hard, relaxation…

Optimization and Control · Mathematics 2025-04-01 Rongxuan Li

We present a constraint model for the problem of producing a tree decomposition of a graph. The inputs to the model are a simple graph G, the number of nodes in the desired tree decomposition and the maximum cardinality of each node in that…

Discrete Mathematics · Computer Science 2019-08-08 Benjamin Bumpus , Patrick Prosser , James Trimble

Recent standardization efforts for graph databases lead to standard query languages like GQL and SQL/PGQ, and constraint languages like Property Graph Constraints (PG-Constraints). In this paper, we embark on the study of repairing property…

Databases · Computer Science 2026-02-06 Christopher Spinrath , Angela Bonifati , Rachid Echahed

We study the maintenance of a $(\Delta+C)$-edge-coloring ($C\ge 1$) in a fully dynamic graph $G$ with maximum degree $\Delta$. We focus on minimizing \emph{recourse} which equals the number of recolored edges per edge updates. We present a…

Data Structures and Algorithms · Computer Science 2026-05-12 Yaniv Sadeh , Haim Kaplan

This paper addresses the problem of matching $N$ weighted graphs referring to an identical object or category. More specifically, matching the common node correspondences among graphs. This multi-graph matching problem involves two…

Computer Vision and Pattern Recognition · Computer Science 2016-06-14 Junchi Yan , Minsu Cho , Hongyuan Zha , Xiaokang Yang , Stephen Chu

Fault detection has a long tradition: the necessity to provide the most accurate diagnosis possible for a process plant criticality is somehow intrinsic in its functioning. Continuous monitoring is a possible way for early detection.…

Systems and Control · Electrical Eng. & Systems 2024-01-22 Martina Teruzzi , Nicola Demo , Gianluigi Rozza

Graph rewriting is a popular tool for the optimisation and modification of graph expressions in domains such as compilers, machine learning and quantum computing. The underlying data structures are often port graphs - graphs with labels at…

Data Structures and Algorithms · Computer Science 2025-03-27 Luca Mondada , Pablo Andrés-Martínez

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

Modeling generative process of growing graphs has wide applications in social networks and recommendation systems, where cold start problem leads to new nodes isolated from existing graph. Despite the emerging literature in learning graph…

Machine Learning · Computer Science 2019-06-03 Da Xu , Chuanwei Ruan , Kamiya Motwani , Evren Korpeoglu , Sushant Kumar , Kannan Achan

Graph neural networks (GNNs) have recently been demonstrated to perform well on a variety of network-based tasks such as decentralized control and resource allocation, and provide computationally efficient methods for these tasks which have…

Machine Learning · Computer Science 2021-12-15 Raghu Arghal , Eric Lei , Shirin Saeedi Bidokhti

We introduce a new model of indeterminacy in graphs: instead of specifying all the edges of the graph, the input contains all triples of vertices that form a connected subgraph. In general, different (labelled) graphs may have the same set…

Discrete Mathematics · Computer Science 2023-03-14 Paul Bastide , Linda Cook , Jeff Erickson , Carla Groenland , Marc van Kreveld , Isja Mannens , Jordi L. Vermeulen

Graphs are mathematical tools that can be used to represent complex real-world interconnected systems, such as financial markets and social networks. Hence, machine learning (ML) over graphs has attracted significant attention recently.…

Machine Learning · Computer Science 2023-10-24 O. Deniz Kose , Yanning Shen , Gonzalo Mateos

An extendable, efficient and explainable Machine Learning approach is proposed to represent cyclic plasticity and replace conventional material models based on the Radial Return Mapping algorithm. High accuracy and stability by means of a…

Materials Science · Physics 2025-08-11 Stefan Hildebrand , Sandra Klinge

The \emph{Sandwich Problem} (SP) for a graph class $\calC$ is the following computational problem. The input is a pair of graphs $(V,E_1)$ and $(V,E_2)$ where $E_1\subseteq E_2$, and the task is to decide whether there is an edge set $E$…

Discrete Mathematics · Computer Science 2025-10-13 Manuel Bodirsky , Santiago Guzmán-Pro

We consider the problem of tensor completion with graphs serving as side information to represent interrelationships among variables. Existing approaches suffer from several limitations: (1) they are often task-specific and lack generality…

Machine Learning · Computer Science 2026-03-17 Kaidong Wang , Qianxin Yi , Yao Wang , Xiuwu Liao , Shaojie Tang , Can Yang

We present a general variational framework for the training of freeform nonlinearities in layered computational architectures subject to some slope constraints. The regularization that we add to the traditional training loss penalizes the…

Machine Learning · Statistics 2025-03-31 Michael Unser , Alexis Goujon , Stanislas Ducotterd

In a drawing of a clustered graph vertices and edges are drawn as points and curves, respectively, while clusters are represented by simple closed regions. A drawing of a clustered graph is c-planar if it has no edge-edge, edge-region, or…

Discrete Mathematics · Computer Science 2014-02-19 Patrizio Angelini , Giordano Da Lozzo , Giuseppe Di Battista , Fabrizio Frati , Maurizio Patrignani , Vincenzo Roselli

Graph learning has emerged as a promising technique for multi-view clustering with its ability to learn a unified and robust graph from multiple views. However, existing graph learning methods mostly focus on the multi-view consistency…

Machine Learning · Computer Science 2021-07-06 Youwei Liang , Dong Huang , Chang-Dong Wang , Philip S. Yu

Motivated by the increasing need for fast processing of large-scale graphs, we study a number of fundamental graph problems in a message-passing model for distributed computing, called $k$-machine model, where we have $k$ machines that…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-10 Khalid Hourani , Hartmut Klauck , William K. Moses , Danupon Nanongkai , Gopal Pandurangan , Peter Robinson , Michele Scquizzato

We tackle the problem of simultaneous transformations of networks represented as graphs. Roughly speaking, one may distinguish two kinds of simultaneous or parallel rewrite relations over complex structures such as graphs: (i) those which…

Formal Languages and Automata Theory · Computer Science 2017-01-25 Rachid Echahed , Aude Maignan
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