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Computing maximum independent sets in graphs is an important problem in computer science. In this paper, we develop an evolutionary algorithm to tackle the problem. The core innovations of the algorithm are very natural combine operations…

Data Structures and Algorithms · Computer Science 2015-02-06 Sebastian Lamm , Peter Sanders , Christian Schulz

Graph matching aims to establish correspondences between vertices of graphs such that both the node and edge attributes agree. Various learning-based methods were recently proposed for finding correspondences between image key points based…

Computer Vision and Pattern Recognition · Computer Science 2022-05-10 Zhenzhang Ye , Tarun Yenamandra , Florian Bernard , Daniel Cremers

Classical graph algorithms work well for combinatorial problems that can be thoroughly formalized and abstracted. Once the algorithm is derived, it generalizes to instances of any size. However, developing an algorithm that handles complex…

Machine Learning · Computer Science 2022-12-12 Florian Grötschla , Joël Mathys , Roger Wattenhofer

Benders decomposition is a widely used method for solving large optimization problems, but its performance is often hindered by the repeated solution of subproblems. We propose a flexible and modular algorithmic framework for accelerating…

Optimization and Control · Mathematics 2025-08-05 Parth Brahmbhatt , David L. Cole , Victor M. Zavala , Styliani Avraamidou

Graphs, consisting of vertices and edges, are vital for representing complex relationships in fields like social networks, finance, and blockchain. Visualizing these graphs helps analysts identify structural patterns, with readability…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-18 Sanggeon Yun

Many degree sequences can only be realised in graphs that contain a `ds-completable card', defined as a vertex-deleted subgraph in which the erstwhile neighbours of the deleted vertex can be identified from their degrees, if one knows the…

Combinatorics · Mathematics 2018-10-08 Andrew M. Steane

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

Big graph mining is an important research area and it has attracted considerable attention. It allows to process, analyze, and extract meaningful information from large amounts of graph data. Big graph mining has been highly motivated not…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-07 Sabeur Aridhi , Engelbert Mephu Nguifo

We introduce CORTEX, an algorithmic framework designed for large-scale brain simulation. Leveraging the computational capacity of the Fugaku Supercomputer, CORTEX maximizes available problem size and processing performance. Our primary…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-07 Tianxiang Lyu , Mitsuhisa Sato , Shigeki Aoki , Ryutaro Himeno , Zhe Sun

Graphs naturally appear in several real-world contexts including social networks, the web network, and telecommunication networks. While the analysis and the understanding of graph structures have been a central area of study in algorithm…

Data Structures and Algorithms · Computer Science 2019-09-17 Gramoz Goranci

A graph is a powerful concept for representation of relations between pairs of entities. Data with underlying graph structure can be found across many disciplines and there is a natural desire for understanding such data better. Deep…

Machine Learning · Computer Science 2019-01-25 Martin Simonovsky

Graph sampling is a technique to pick a subset of vertices and/ or edges from original graph. It has a wide spectrum of applications, e.g. survey hidden population in sociology [54], visualize social graph [29], scale down Internet AS graph…

Social and Information Networks · Computer Science 2013-08-28 Pili Hu , Wing Cheong Lau

Deep learning has been shown to be successful in a number of domains, ranging from acoustics, images, to natural language processing. However, applying deep learning to the ubiquitous graph data is non-trivial because of the unique…

Machine Learning · Computer Science 2020-03-16 Ziwei Zhang , Peng Cui , Wenwu Zhu

This paper studies the nucleus decomposition problem, which has been shown to be useful in finding dense substructures in graphs. We present a novel parallel algorithm that is efficient both in theory and in practice. Our algorithm achieves…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-12 Jessica Shi , Laxman Dhulipala , Julian Shun

When searching for interesting structures in graphs, it is often important to take into account not only the graph connectivity, but also the metadata available, such as node and edge labels, or temporal information. In this paper we are…

Data Structures and Algorithms · Computer Science 2020-07-09 Polina Rozenshtein , Giulia Preti , Aristides Gionis , Yannis Velegrakis

Graph Neural Networks (GNNs) have demonstrated remarkable results in various real-world applications, including drug discovery, object detection, social media analysis, recommender systems, and text classification. In contrast to their vast…

Machine Learning · Computer Science 2026-02-04 Nícolas Roque dos Santos , Dawon Ahn , Diego Minatel , Alneu de Andrade Lopes , Evangelos E. Papalexakis

Analyzing interconnection structures among underlying entities or objects in a dataset through the use of graph analytics has been shown to provide tremendous value in many application domains. However, graphs are not the primary…

Databases · Computer Science 2017-02-14 Konstantinos Xirogiannopoulos , Amol Deshpande

Graph classification has recently received a lot of attention from various fields of machine learning e.g. kernel methods, sequential modeling or graph embedding. All these approaches offer promising results with different respective…

Machine Learning · Computer Science 2018-11-13 Nathan de Lara , Edouard Pineau

When we try to solve a system of linear equations, we can consider a simple iterative algorithm in which an equation including only one variable is chosen at each step, and the variable is fixed to the value satisfying the equation. The…

Discrete Mathematics · Computer Science 2015-06-03 Ryuhei Mori , Osamu Watanabe

The paper presents a new model for single channel images low-level interpretation. The image is decomposed into a graph which captures a complete set of structural features. The description allows to accurately identify every edge location…

Computer Vision and Pattern Recognition · Computer Science 2019-04-23 Alessandro Dal Palu'
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