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Functional decomposition of logic circuits has profound influence on all quality aspects of the cost-effective implementation of modern digital systems. In this paper, a relational approach to the decomposition of logic circuits is…

Discrete Mathematics · Computer Science 2007-05-23 Tony T. Lee , Tong Ye

Supervised learning on graphs is a challenging task due to the high dimensionality and inherent structural dependencies in the data, where each edge depends on a pair of vertices. Existing conventional methods are designed for standard…

Methodology · Statistics 2024-06-27 Cencheng Shen , Shangsi Wang , Alexandra Badea , Carey E. Priebe , Joshua T. Vogelstein

Subgraph matching is a core operation in graph analytics, supporting a broad spectrum of applications from social network analysis to bioinformatics. Recent GPU-based approaches accelerate subgraph matching by leveraging parallelism but…

Databases · Computer Science 2026-04-14 Weitian Chen , Shixuan Sun , Cheng Chen , Yongmin Hu , Yingqian Hu , Minyi Guo

Logic Programming languages and combinational circuit synthesis tools share a common "combinatorial search over logic formulae" background. This paper attempts to reconnect the two fields with a fresh look at Prolog encodings for the…

Logic in Computer Science · Computer Science 2008-12-18 Paul Tarau , Brenda Luderman

The criteria for determining graph isomorphism are crucial for solving graph isomorphism problems. The necessary condition is that two isomorphic graphs possess invariants, but their function can only be used to filtrate and subdivide…

Graphics · Computer Science 2025-08-19 Chuanfu Hu , Aimin Hou

We present Symbolic Quick Error Detection (Symbolic QED), a structured approach for logic bug detection and localization which can be used both during pre-silicon design verification as well as post-silicon validation and debug. This new…

Logic in Computer Science · Computer Science 2017-11-20 Eshan Singh , David Lin , Clark Barrett , Subhasish Mitra

EDA problems are graph-structured, but not all graph-structured problems call for the same GNN computation. We argue that successful GNN-for-EDA methods are those whose propagation, aggregation, and supervision align with the native algebra…

Machine Learning · Computer Science 2026-05-12 Hyunmog Kim

With the emergence of graph databases, the task of frequent subgraph discovery has been extensively addressed. Although the proposed approaches in the literature have made this task feasible, the number of discovered frequent subgraphs is…

Databases · Computer Science 2013-08-16 Wajdi Dhifli , Mohamed Moussaoui , Rabie Saidi , Engelbert Mephu Nguifo

Subgraph queries also known as subgraph isomorphism search is a fundamental problem in querying graph-like structured data. It consists to enumerate the subgraphs of a data graph that match a query graph. This problem arises in many…

Databases · Computer Science 2018-07-11 C. Nabti , T. Mecharnia , S. E. Boukhetta , H. Seba , K. Amrouche

Subgraph matching is a fundamental problem in graph analysis with a wide range of applications. However, due to its inherent NP-hardness, enumerating subgraph matches efficiently on large real-world graphs remains highly challenging. Most…

Databases · Computer Science 2026-03-11 Linglin Yang , Xunbin Su , Lei Zou , Xiangyang Gou , Yinnian Lin

Graph matching is a fundamental problem in pattern recognition, with many applications such as software analysis and computational biology. One well-known type of graph matching problem is graph isomorphism, which consists of deciding if…

Artificial Intelligence · Computer Science 2023-12-18 Miguel Terra-Neves , José Amaral , Alexandre Lemos , Rui Quintino , Pedro Resende , Antonio Alegria

Understanding and explaining the predictions of Graph Neural Networks (GNNs), is crucial for enhancing their safety and trustworthiness. Subgraph-level explanations are gaining attention for their intuitive appeal. However, most existing…

Machine Learning · Computer Science 2024-05-17 Shengyao Lu , Bang Liu , Keith G. Mills , Jiao He , Di Niu

Embedding static graphs in low-dimensional vector spaces plays a key role in network analytics and inference, supporting applications like node classification, link prediction, and graph visualization. However, many real-world networks…

Machine Learning · Computer Science 2021-07-23 Claudio D. T. Barros , Matheus R. F. Mendonça , Alex B. Vieira , Artur Ziviani

Graph embedding based on random-walks supports effective solutions for many graph-related downstream tasks. However, the abundance of embedding literature has made it increasingly difficult to compare existing methods and to identify…

Machine Learning · Computer Science 2021-10-26 Zexi Huang , Arlei Silva , Ambuj Singh

The Smatch metric is a popular method for evaluating graph distances, as is necessary, for instance, to assess the performance of semantic graph parsing systems. However, we observe some issues in the metric that jeopardize meaningful…

Computation and Language · Computer Science 2025-10-17 Juri Opitz

Learning low-dimensional embeddings of knowledge graphs is a powerful approach used to predict unobserved or missing edges between entities. However, an open challenge in this area is developing techniques that can go beyond simple edge…

Social and Information Networks · Computer Science 2019-10-30 William L. Hamilton , Payal Bajaj , Marinka Zitnik , Dan Jurafsky , Jure Leskovec

Subgraph matching query is a fundamental problem in graph data management and has a variety of real-world applications. Several recent works utilize deep learning (DL) techniques to process subgraph matching queries. Most of them find…

Social and Information Networks · Computer Science 2025-10-29 Bin Yang , Zhaonian Zou , Jianxiong Ye

The remarkable growth and significant success of machine learning have expanded its applications into programming languages and program analysis. However, a key challenge in adopting the latest machine learning methods is the representation…

Programming Languages · Computer Science 2023-12-01 Ali TehraniJamsaz , Quazi Ishtiaque Mahmud , Le Chen , Nesreen K. Ahmed , Ali Jannesari

The automation of logic circuit design enhances chip performance, energy efficiency, and reliability, and is widely applied in the field of Electronic Design Automation (EDA).And-Inverter Graphs (AIGs) efficiently represent, optimize, and…

Artificial Intelligence · Computer Science 2025-08-21 Weihao Sun , Shikai Guo , Siwen Wang , Qian Ma , Hui Li

Graph algorithms, such as shortest path finding, play a crucial role in enabling essential applications and services like infrastructure planning and navigation, making their correctness important. However, thoroughly testing graph…

Software Engineering · Computer Science 2025-02-24 Wenqi Yan , Manuel Rigger , Anthony Wirth , Van-Thuan Pham