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In this article we use the modular decomposition technique for exact solving the weighted maximum clique problem. Our algorithm takes the modular decomposition tree from the paper of Tedder et. al. and finds solution recursively. Also, we…

Data Structures and Algorithms · Computer Science 2017-10-12 Irina Utkina

We consider the problem of identifying a maximum clique in a given graph. We have proposed a mathematical model for this problem. The model resembles the matrix decomposition of the adjacency matrix of a given graph. The objective function…

Optimization and Control · Mathematics 2023-07-19 Salma Omer , Montaz Ali

In [1], we proposed a graph-based formulation that links and clusters person hypotheses over time by solving a minimum cost subgraph multicut problem. In this paper, we modify and extend [1] in three ways: 1) We introduce a novel local…

Computer Vision and Pattern Recognition · Computer Science 2016-08-22 Siyu Tang , Bjoern Andres , Mykhaylo Andriluka , Bernt Schiele

K-clique percolation is an overlapping community finding algorithm which extracts particular structures, comprised of overlapping cliques, from complex networks. While it is conceptually straightforward, and can be elegantly expressed using…

Social and Information Networks · Computer Science 2012-05-02 Fergal Reid , Aaron McDaid , Neil Hurley

In this article, we develop a clique-based method for social network clustering. We introduce a new index to evaluate the quality of clustering results, and propose an efficient algorithm based on recursive bipartition to maximize an…

Social and Information Networks · Computer Science 2018-05-11 Guang Ouyang , Dipak K. Dey , Panpan Zhang

Reliable loop closure detection remains a critical challenge in 3D LiDAR-based SLAM, especially under sensor noise, environmental ambiguity, and viewpoint variation conditions. RANSAC is often used in the context of loop closures for…

Robotics · Computer Science 2026-03-06 Javier Laserna , Saurabh Gupta , Oscar Martinez Mozos , Cyrill Stachniss , Pablo San Segundo

Finding the clique of maximum cardinality in an arbitrary graph is an NP-Hard problem that has many applications, which has motivated studies to solve it exactly despite its difficulty. The great majority of algorithms proposed in the…

Data Structures and Algorithms · Computer Science 2015-05-29 Ricardo C. Corrêa , Philippe Michelon , Bertrand Le Cun , Thierry Mautor , Diego Delle Donne

We present a novel, data driven approach for solving the problem of registration of two point cloud scans. Our approach is direct in the sense that a single pair of corresponding local patches already provides the necessary transformation…

Computer Vision and Pattern Recognition · Computer Science 2019-04-10 Haowen Deng , Tolga Birdal , Slobodan Ilic

Compressed sensing is a technique for finding sparse solutions to underdetermined linear systems. This technique relies on properties of the sensing matrix such as the restricted isometry property. Sensing matrices that satisfy this…

Computational Complexity · Computer Science 2012-11-06 Pascal Koiran , Anastasios Zouzias

Maximum A Posteriori inference in graphical models is often solved via message-passing algorithms, such as the junction-tree algorithm, or loopy belief-propagation. The exact solution to this problem is well known to be exponential in the…

Artificial Intelligence · Computer Science 2010-04-09 Julian J. McAuley , Tiberio S. Caetano

3D pose estimation from sparse multi-views is a critical task for numerous applications, including action recognition, sports analysis, and human-robot interaction. Optimization-based methods typically follow a two-stage pipeline, first…

Computer Vision and Pattern Recognition · Computer Science 2026-01-15 Tony Danjun Wang , Tolga Birdal , Nassir Navab , Lennart Bastian

The paper investigates a novel approach, based on Constraint Logic Programming (CLP), to predict the 3D conformation of a protein via fragments assembly. The fragments are extracted by a preprocessor-also developed for this work- from a…

Artificial Intelligence · Computer Science 2010-08-02 Alessandro Dal Palu' , Agostino Dovier , Federico Fogolari , Enrico Pontelli

$k$-defective cliques relax cliques by allowing up-to $k$ missing edges from being a complete graph. This relaxation enables us to find larger near-cliques and has applications in link prediction, cluster detection, social network analysis…

Data Structures and Algorithms · Computer Science 2023-09-07 Lijun Chang

The maximum clique problem, a well-known graph-based combinatorial optimization problem, has been addressed through various algorithmic approaches, though systematic analyses of the problem instances remain sparse. This study employs the…

Data Structures and Algorithms · Computer Science 2025-12-19 Bharat Sharman , Elkafi Hassini

What is the minimal information that a robot must retain to achieve its task? To design economical robots, the literature dealing with reduction of combinatorial filters approaches this problem algorithmically. As lossless state compression…

Robotics · Computer Science 2024-10-15 Yulin Zhang , Dylan A. Shell

This paper presents a novel randomized algorithm for robust point cloud registration without correspondences. Most existing registration approaches require a set of putative correspondences obtained by extracting invariant descriptors.…

Computer Vision and Pattern Recognition · Computer Science 2019-04-16 Huu Le , Thanh-Toan Do , Tuan Hoang , Ngai-Man Cheung

Generating a set of high-quality correspondences or matches is one of the most critical steps in point cloud registration. This paper proposes a learning framework COTReg by jointly considering the pointwise and structural matchings to…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Guofeng Mei , Xiaoshui Huang , Litao Yu , Jian Zhang , Mohammed Bennamoun

Many important multiple-objective decision problems can be cast within the framework of ranking under constraints and solved via a weighted bipartite matching linear program. Some of these optimization problems, such as personalized content…

Information Retrieval · Computer Science 2022-02-16 Yegor Tkachenko , Wassim Dhaouadi , Kamel Jedidi

Correspondence is a ubiquitous problem in computer vision and graph matching has been a natural way to formalize correspondence as an optimization problem. Recently, graph matching solvers have included higher-order terms representing…

Computer Vision and Pattern Recognition · Computer Science 2014-05-27 Mayank Bansal , Kostas Daniilidis

For an arbitrary tree we investigate the problems of constructing a maximum matching which minimizes or maximizes the cardinality of a maximum matching of the graph obtained from original one by its removal and present corresponding…

Discrete Mathematics · Computer Science 2007-07-17 R. R. Kamalian , V. V. Mkrtchyan
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