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Related papers: A Clique-Based Method for Improving Motif Scanning…

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Clique-width is one of the graph complexity measures leading to polynomial special-case algorithms for generally NP-complete problems, e.g. graph colourability. The best two currently known algorithms for verifying c-colourability of graphs…

Computational Complexity · Computer Science 2021-08-13 Bruno Courcelle , Irène Durand , Michael Raskin

The maximum clique problem is a well known NP-Hard problem with applications in data mining, network analysis, informatics, and many other areas. Although there exist several algorithms with acceptable runtimes for certain classes of…

Data Structures and Algorithms · Computer Science 2012-11-15 Bharath Pattabiraman , Md. Mostofa Ali Patwary , Assefaw H. Gebremedhin , Wei-keng Liao , Alok Choudhary

Approximate Nearest Neighbor Search with arbitrary filtering predicates (AFANNS) is essential for modern data applications, yet existing methods often incur substantial storage and computational costs. In this work, we introduce the Maximal…

Databases · Computer Science 2026-04-27 Xiaowei Ye , Rong-Hua Li , Guoren Wang , Kaiwen Xue , Daiyin Wang , Xubin Li

We address the problem of computing the distribution of induced connected subgraphs, aka \emph{graphlets} or \emph{motifs}, in large graphs. The current state-of-the-art algorithms estimate the motif counts via uniform sampling, by…

Data Structures and Algorithms · Computer Science 2021-07-20 Marco Bressan , Stefano Leucci , Alessandro Panconesi

The inclusion of link weights into the analysis of network properties allows a deeper insight into the (often overlapping) modular structure of real-world webs. We introduce a clustering algorithm (CPMw, Clique Percolation Method with…

Statistical Mechanics · Physics 2007-07-18 Illes J. Farkas , Daniel Abel , Gergely Palla , Tamas Vicsek

Graph signal processing (GSP) is becoming a major tool in biomedical signal and image analysis. In most GSP techniques, graph structures and edge weights have been typically set via statistical and computational methods. More recently,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Asmaa M. Elwer , Muhammad A. Rushdi , Mahmoud H. Annaby

A basic assumption of molecular biology is that proteins sharing close three-dimensional (3D) structures are likely to share a common function and in most cases derive from a same ancestor. Computing the similarity between two protein…

Quantitative Methods · Quantitative Biology 2009-02-02 Noël Malod-Dognin , Rumen Andonov , Nicola Yanev

We study the problem of counting the number of {\em isomorphic} copies of a given {\em template} graph, say $H$, in the input {\em base} graph, say $G$. In general, it is believed that polynomial time algorithms that solve this problem…

Data Structures and Algorithms · Computer Science 2015-03-03 Kashyap Dixit , Martin Fürer

When searching for characteristic subpatterns in potentially noisy graph data, it appears self-evident that having multiple observations would be better than having just one. However, it turns out that the inconsistencies introduced when…

Machine Learning · Computer Science 2012-06-22 Novi Quadrianto , Chao Chen , Christoph Lampert

We propose a fast, parallel maximum clique algorithm for large sparse graphs that is designed to exploit characteristics of social and information networks. The method exhibits a roughly linear runtime scaling over real-world networks…

Social and Information Networks · Computer Science 2013-12-30 Ryan A. Rossi , David F. Gleich , Assefaw H. Gebremedhin , Md. Mostofa Ali Patwary

We investigate computational problems involving large weights through the lens of kernelization, which is a framework of polynomial-time preprocessing aimed at compressing the instance size. Our main focus is the weighted Clique problem,…

Data Structures and Algorithms · Computer Science 2021-07-07 Bart M. P. Jansen , Shivesh K. Roy , Michał Włodarczyk

In a random intersection graph $G_{n,m,p}$, each of $n$ vertices selects a random subset of a set of $m$ labels by including each label independently with probability $p$ and edges are drawn between vertices that have at least one label in…

Discrete Mathematics · Computer Science 2022-10-06 Filippos Christodoulou , Sotiris Nikoletseas , Christoforos Raptopoulos , Paul Spirakis

We propose a novel method for large-scale image stitching that is robust against repetitive patterns and featureless regions in the imagery. In such cases, state-of-the-art image stitching methods easily produce image alignment artifacts,…

Computer Vision and Pattern Recognition · Computer Science 2021-07-29 Matti Pellikka , Valtteri Lahtinen

Given an edge-weighted metric complete graph with $n$ vertices, the maximum weight metric triangle packing problem is to find a set of $n/3$ vertex-disjoint triangles with the total weight of all triangles in the packing maximized. Several…

Data Structures and Algorithms · Computer Science 2024-02-14 Jingyang Zhao , Mingyu Xiao

Finding dense subgraphs in a graph is a fundamental graph mining task, with applications in several fields. Algorithms for identifying dense subgraphs are used in biology, in finance, in spam detection, etc. Standard formulations of this…

Data Structures and Algorithms · Computer Science 2018-07-10 G. Nikolentzos , P. Meladianos , Y. Stavrakas , M. Vazirgiannis

A popular paradigm for 3D point cloud registration is by extracting 3D keypoint correspondences, then estimating the registration function from the correspondences using a robust algorithm. However, many existing 3D keypoint techniques tend…

Computer Vision and Pattern Recognition · Computer Science 2020-02-28 Álvaro Parra , Tat-Jun Chin , Frank Neumann , Tobias Friedrich , Maximilian Katzmann

With the development and widespread application of digital image processing technology, image splicing has become a common method of image manipulation, raising numerous security and legal issues. This paper introduces a new splicing image…

Computer Vision and Pattern Recognition · Computer Science 2024-05-20 Ao Xiang , Jingyu Zhang , Qin Yang , Liyang Wang , Yu Cheng

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

In this paper, we relate the problem of finding a maximum clique to the intersection number of the input graph (i.e. the minimum number of cliques needed to edge cover the graph). In particular, we consider the maximum clique problem for…

Discrete Mathematics · Computer Science 2012-04-19 S. Nikoletseas , C. Raptopoulos , P. G. Spirakis

Aggregating different image features for image retrieval has recently shown its effectiveness. While highly effective, though, the question of how to uplift the impact of the best features for a specific query image persists as an open…

Computer Vision and Pattern Recognition · Computer Science 2018-08-16 Leulseged Tesfaye Alemu , Marcello Pelillo