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Finding Minimal Unsatisfiable Subsets (MUSes) of binary constraints is a common problem in infeasibility analysis of over-constrained systems. However, because of the exponential search space of the problem, enumerating MUSes is extremely…

Artificial Intelligence · Computer Science 2024-02-27 Panagiotis Lymperopoulos , Liping Liu

The Graph Isomorphism problem has both theoretical and practical interest. In this paper we present an algorithm, called conauto-1.2, that efficiently tests whether two graphs are isomorphic, and finds an isomorphism if they are. This…

Data Structures and Algorithms · Computer Science 2011-06-23 Jose Luis Lopez-Presa , Antonio Fernandez Anta

Subgraph matching is a basic operation widely used in many applications. However, due to its NP-hardness and the explosive growth of graph data, it is challenging to compute subgraph matching, especially in large graphs. In this paper, we…

Databases · Computer Science 2021-02-25 Xin Jin , Zhengyi Yang , Xuemin Lin , Shiyu Yang , Lu Qin , You Peng

Since data is often stored in different sources, it needs to be integrated to gather a global view that is required in order to create value and derive knowledge from it. A critical step in data integration is schema matching which aims to…

Databases · Computer Science 2022-03-10 Benjamin Hättasch , Michael Truong-Ngoc , Andreas Schmidt , Carsten Binnig

Recent years have witnessed a flurry of research activity in graph matching, which aims at finding the correspondence of nodes across two graphs and lies at the heart of many artificial intelligence applications. However, matching…

Machine Learning · Computer Science 2021-12-21 Weijie Liu , Hui Qian , Chao Zhang , Jiahao Xie , Zebang Shen , Nenggan Zheng

The problem of Subgraph Isomorphism is defined as follows: Given a pattern H and a host graph G on n vertices, does G contain a subgraph that is isomorphic to H? Eppstein [SODA 95, J'GAA 99] gives the first linear time algorithm for…

Data Structures and Algorithms · Computer Science 2009-09-28 Frederic Dorn

In many real datasets such as social media streams and cyber data sources, graphs change over time through a graph update stream of edge insertions and deletions. Detecting critical patterns in such dynamic graphs plays an important role in…

Databases · Computer Science 2021-04-05 Seunghwan Min , Sung Gwan Park , Kunsoo Park , Dora Giammarresi , Giuseppe F. Italiano , Wook-Shin Han

Identifying the underlying models in a set of data points contaminated by noise and outliers, leads to a highly complex multi-model fitting problem. This problem can be posed as a clustering problem by the projection of higher order…

Computer Vision and Pattern Recognition · Computer Science 2018-08-01 Ruwan Tennakoon , Alireza Sadri , Reza Hoseinnezhad , Alireza Bab-Hadiashar

The ability to handle large scale graph data is crucial to an increasing number of applications. Much work has been dedicated to supporting basic graph operations such as subgraph matching, reachability, regular expression matching, etc. In…

Databases · Computer Science 2012-05-31 Zhao Sun , Hongzhi Wang , Haixun Wang , Bin Shao , Jianzhong Li

Data association across frames is at the core of Multiple Object Tracking (MOT) task. This problem is usually solved by a traditional graph-based optimization or directly learned via deep learning. Despite their popularity, we find some…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Jiawei He , Zehao Huang , Naiyan Wang , Zhaoxiang Zhang

This study poses the feature correspondence problem as a hypergraph node labeling problem. Candidate feature matches and their subsets (usually of size larger than two) are considered to be the nodes and hyperedges of a hypergraph. A…

Computer Vision and Pattern Recognition · Computer Science 2011-07-14 Toufiq Parag , Vladimir Pavlovic , Ahmed Elgammal

We investigate a fundamental vertex-deletion problem called (Induced) Subgraph Hitting: given a graph $G$ and a set $\mathcal{F}$ of forbidden graphs, the goal is to compute a minimum-sized set $S$ of vertices of $G$ such that $G-S$ does…

Data Structures and Algorithms · Computer Science 2023-12-05 Zdeněk Dvořák , Daniel Lokshtanov , Fahad Panolan , Saket Saurabh , Jie Xue , Meirav Zehavi

The problem of finding a maximum size matching in a graph (known as the maximum matching problem) is one of the most classical problems in computer science. Despite a significant body of work dedicated to the study of this problem in the…

Data Structures and Algorithms · Computer Science 2021-09-14 Moran Feldman , Ariel Szarf

Subgraph matching plays an important role in electronic design automation (EDA) and circuit verification. Traditional rule-based methods have limitations in generalizing to arbitrary target circuits. Furthermore, node-to-node matching…

Machine Learning · Computer Science 2025-07-29 Sangwoo Seo , Jimin Seo , Yoonho Lee , Donghyeon Kim , Hyejin Shin , Banghyun Sung , Chanyoung Park

Graph embedding aims at learning a vector-based representation of vertices that incorporates the structure of the graph. This representation then enables inference of graph properties. Existing graph embedding techniques, however, do not…

We study the problem of finding and monitoring fixed-size subgraphs in a continually changing large-scale graph. We present the first approach that (i) performs worst-case optimal computation and communication, (ii) maintains a total memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-13 Khaled Ammar , Frank McSherry , Semih Salihoglu , Manas Joglekar

Subgraph complementation is an operation that toggles all adjacencies inside a selected vertex set. Given a graph \(G\) and a target class \(\mathcal{C}\), the Minimum Subgraph Complementation problem asks for a minimum-size vertex set…

Data Structures and Algorithms · Computer Science 2025-12-30 Juan Gutiérrez , Sagartanu Pal

The graph matching optimization problem is an essential component for many tasks in computer vision, such as bringing two deformable objects in correspondence. Naturally, a wide range of applicable algorithms have been proposed in the last…

Computer Vision and Pattern Recognition · Computer Science 2022-08-01 Stefan Haller , Lorenz Feineis , Lisa Hutschenreiter , Florian Bernard , Carsten Rother , Dagmar Kainmüller , Paul Swoboda , Bogdan Savchynskyy

Subgraph matching in logic circuits is foundational for numerous Electronic Design Automation (EDA) applications, including datapath optimization, arithmetic verification, and hardware trojan detection. However, existing techniques rely…

Artificial Intelligence · Computer Science 2025-10-09 Ziyang Zheng , Kezhi Li , Zhengyuan Shi , Qiang Xu

We present the first parallel fixed-parameter algorithm for subgraph isomorphism in planar graphs, bounded-genus graphs, and, more generally, all minor-closed graphs of locally bounded treewidth. Our randomized low depth algorithm has a…

Data Structures and Algorithms · Computer Science 2020-07-03 Lukas Gianinazzi , Torsten Hoefler
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