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Subgraph counting aims to count occurrences of a template T in a given network G(V, E). It is a powerful graph analysis tool and has found real-world applications in diverse domains. Scaling subgraph counting problems is known to be memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-06 Langshi Chen , Jiayu Li , Ariful Azad , Cenk Sahinalp , Madhav Marathe , Anil Vullikanti , Andrey Nikolaev , Egor Smirnov , Ruslan Israfilov , Judy Qiu

Non-deterministic constraint logic (NCL) is a simple model of computation based on orientations of a constraint graph with edge weights and vertex demands. NCL captures \PSPACE\xspace and has been a useful tool for proving algorithmic…

Data Structures and Algorithms · Computer Science 2020-11-23 Tatsuhiko Hatanaka , Felix Hommelsheim , Takehiro Ito , Yusuke Kobayashi , Moritz Mühlenthaler , Akira Suzuki

With the aggressive scaling of VLSI technology, the explosion of layout patterns creates a critical bottleneck for DFM applications like OPC. Pattern clustering is essential to reduce data complexity, yet existing methods struggle with…

Hardware Architecture · Computer Science 2025-12-16 Shuo Liu

We propose a novel optimization-based approach to embedding heterogeneous high-dimensional data characterized by a graph. The goal is to create a two-dimensional visualization of the graph structure such that edge-crossings are minimized…

Optimization and Control · Mathematics 2012-10-09 Amina Shabbeer , Cagri Ozcaglar , Kristin P. Bennett

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

Many combinatorial optimization problems can be phrased in the language of constraint satisfaction problems. We introduce a graph neural network architecture for solving such optimization problems. The architecture is generic; it works for…

Artificial Intelligence · Computer Science 2020-02-12 Jan Toenshoff , Martin Ritzert , Hinrikus Wolf , Martin Grohe

Detecting small sets of relevant patterns from a given dataset is a central challenge in data mining. The relevance of a pattern is based on user-provided criteria; typically, all patterns that satisfy certain criteria are considered…

Artificial Intelligence · Computer Science 2020-02-19 Sergey Paramonov , Daria Stepanova , Pauli Miettinen

Important graph mining problems such as Clustering are computationally demanding. To significantly accelerate these problems, we propose ProbGraph: a graph representation that enables simple and fast approximate parallel graph mining with…

In this paper, matching pairs of random graphs under the community structure model is considered. The problem emerges naturally in various applications such as privacy, image processing and DNA sequencing. A pair of randomly generated…

Cryptography and Security · Computer Science 2018-11-01 F. Shirani , S. Garg , E. Erkip

Document clustering is an unsupervised approach in which a large collection of documents (corpus) is subdivided into smaller, meaningful, identifiable, and verifiable sub-groups (clusters). Meaningful representation of documents and…

Information Retrieval · Computer Science 2014-12-08 Muhammad Rafi , Farnaz Amin , Mohammad Shahid Shaikh

This paper proposes a new algorithm for simultaneous graph matching and clustering. For the first time in the literature, these two problems are solved jointly and synergetically without relying on any training data, which brings advantages…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Maximilian Krahn , Florian Bernard , Vladislav Golyanik

In the field of parameterized complexity theory, the study of graph width measures has been intimately connected with the development of width-based model checking algorithms for combinatorial properties on graphs. In this work, we…

Data Structures and Algorithms · Computer Science 2026-05-21 Mateus de Oliveira Oliveira , Sam Urmian

The graph matching problem emerges naturally in various applications such as web privacy, image processing and computational biology. In this paper, graph matching is considered under a stochastic model, where a pair of randomly generated…

Information Theory · Computer Science 2021-01-27 Farhad Shirani , Siddharth Garg , Elza Erkip

Pattern extraction algorithms are enabling insights into the ever-growing amount of today's datasets by translating reoccurring data properties into compact representations. Yet, a practical problem arises: With increasing data volumes and…

Information Retrieval · Computer Science 2018-07-05 Michael Behrisch , Robert Krueger , Fritz Lekschas , Tobias Schreck , Nils Gehlenborg , Hanspeter Pfister

Graph pattern matching involves finding exact or approximate matches for a query subgraph in a larger graph. It has been studied extensively and has strong applications in domains such as computer vision, computational biology, social…

Databases · Computer Science 2012-08-02 Sutanay Choudhury , Lawrence Holder , George Chin , John Feo

Mining cohesive subgraphs in attributed graphs is an essential problem in the domain of graph data analysis. The integration of fairness considerations significantly fuels interest in models and algorithms for mining fairness-aware cohesive…

Databases · Computer Science 2023-12-08 Qi Zhang , Rong-Hua Li , Zifan Zheng , Hongchao Qin , Ye Yuan , Guoren Wang

Pattern counting in graphs is a fundamental primitive for many network analysis tasks, and a number of methods have been developed for scaling subgraph counting to large graphs. Many real-world networks carry a natural notion of strength of…

Social and Information Networks · Computer Science 2019-10-03 Raunak Kumar , Paul Liu , Moses Charikar , Austin R. Benson

Higher-order connectivity patterns such as small induced sub-graphs called graphlets (network motifs) are vital to understand the important components (modules/functional units) governing the configuration and behavior of complex networks.…

Social and Information Networks · Computer Science 2020-09-15 Aldo G. Carranza , Ryan A. Rossi , Anup Rao , Eunyee Koh

Hierarchical clustering over graphs is a fundamental task in data mining and machine learning with applications in domains such as phylogenetics, social network analysis, and information retrieval. Specifically, we consider the recently…

Data Structures and Algorithms · Computer Science 2022-06-16 Arpit Agarwal , Sanjeev Khanna , Huan Li , Prathamesh Patil

Bounded model checking is among the most efficient techniques for the automatic verification of concurrent programs. However, encoding all possible interleavings often requires a huge and complex formula, which significantly limits the…

Programming Languages · Computer Science 2018-04-04 Liangze Yin , Wei Dong , Wanwei Liu , Ji Wang