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The Densest $k$-Subgraph (D$k$S) problem, and its corresponding minimization problem Smallest $p$-Edge Subgraph (S$p$ES), have come to play a central role in approximation algorithms. This is due both to their practical importance, and…

Data Structures and Algorithms · Computer Science 2016-05-16 Eden Chlamtáč , Michael Dinitz , Christian Konrad , Guy Kortsarz , George Rabanca

Recent advancements in Neural Architecture Search(NAS) resulted in finding new state-of-the-art Artificial Neural Network (ANN) solutions for tasks like image classification, object detection, or semantic segmentation without substantial…

Image and Video Processing · Electrical Eng. & Systems 2020-04-21 Marcin Możejko , Tomasz Latkowski , Łukasz Treszczotko , Michał Szafraniuk , Krzysztof Trojanowski

We propose a novel algorithm for enumerating and listing all minimal cutsets of a given graph. It is known that this problem is NP-hard. We use connectivity properties of a given graph to develop an algorithm with reduced complexity for…

Combinatorics · Mathematics 2007-05-23 Ahmad R. Sharafat , Omid R. Ma'rouzi

This paper offers a new authentication algorithm based on image matching of nano-resolution visual identifiers with tree-shaped patterns. The algorithm includes image-to-tree conversion by greedy extraction of the fractal pattern skeleton…

Computer Vision and Pattern Recognition · Computer Science 2022-11-16 Hao Wang , Xiwen Chen , Abolfazl Razi , Rahul Amin

The application of the diffusion in many computer vision and artificial intelligence projects has been shown to give excellent improvements in performance. One of the main bottlenecks of this technique is the quadratic growth of the kNN…

Computer Vision and Pattern Recognition · Computer Science 2019-04-19 Federico Magliani , Kevin McGuinness , Eva Mohedano , Andrea Prati

We propose a novel iterative method to adapt a a graph to d-dimensional image data. The method drives the nodes of the graph towards image features. The adaptation process naturally lends itself to a measure of feature saliency which can…

Computer Vision and Pattern Recognition · Computer Science 2019-09-06 Alberto Gomez , Veronika A. Zimmer , Bishesh Khanal , Nicolas Toussaint , Julia A. Schnabel

Approximate subgraph matching (ASM) is a task that determines the approximate presence of a given query graph in a large target graph. Being an NP-hard problem, ASM is critical in graph analysis with a myriad of applications ranging from…

Machine Learning · Computer Science 2026-03-20 Kaiyang Li , Shihao Ji , Zhipeng Cai , Wei Li

Computing cohesive subgraphs is a central problem in graph theory. While many formulations of cohesive subgraphs lead to NP-hard problems, finding a densest subgraph can be done in polynomial time. As such, the densest subgraph model has…

Data Structures and Algorithms · Computer Science 2021-11-24 Riccardo Dondi , Danny Hermelin

We present a local algorithm for finding dense subgraphs of bipartite graphs, according to the definition of density proposed by Kannan and Vinay. Our algorithm takes as input a bipartite graph with a specified starting vertex, and attempts…

Data Structures and Algorithms · Computer Science 2007-05-23 Reid Andersen

We consider a variant of the densest subgraph problem in networks with single or multiple edge attributes. For example, in a social network, the edge attributes may describe the type of relationship between users, such as friends, family,…

Social and Information Networks · Computer Science 2024-02-15 Lutz Oettershagen , Honglian Wang , Aristides Gionis

This paper proposes a new general technique for maximal subgraph enumeration which we call proximity search, whose aim is to design efficient enumeration algorithms for problems that could not be solved by existing frameworks. To support…

Data Structures and Algorithms · Computer Science 2021-08-19 Alessio Conte , Andrea Marino , Roberto Grossi , Takeaki Uno , Luca Versari

Finding dense subgraphs of a large graph is a standard problem in graph mining that has been studied extensively both for its theoretical richness and its many practical applications. In this paper we introduce a new family of dense…

Data Structures and Algorithms · Computer Science 2021-06-07 Nate Veldt , Austin R. Benson , Jon Kleinberg

Given a graph, the minimum dominating set (MinDS) problem is to identify a smallest set $D$ of vertices such that every vertex not in $D$ is adjacent to at least one vertex in $D$. The MinDS problem is a classic $\mathcal{NP}$-hard problem…

Social and Information Networks · Computer Science 2023-08-01 Enqiang Zhu , Yu Zhang , Shengzhi Wang , Darren Strash , Chanjuan Liu

Computing a dense subgraph is a fundamental problem in graph mining, with a diverse set of applications ranging from electronic commerce to community detection in social networks. In many of these applications, the underlying context is…

Data Structures and Algorithms · Computer Science 2022-04-19 Suman K. Bera , Sayan Bhattacharya , Jayesh Choudhari , Prantar Ghosh

This paper addresses the problem of reassembling images from disjointed fragments. More specifically, given an unordered set of fragments, we aim at reassembling one or several possibly incomplete images. The main contributions of this work…

Computer Vision and Pattern Recognition · Computer Science 2018-09-05 M. -M. Paumard , D. Picard , H. Tabia

In the densest subgraph problem, given an edge-weighted undirected graph $G=(V,E,w)$, we are asked to find $S\subseteq V$ that maximizes the density, i.e., $w(S)/|S|$, where $w(S)$ is the sum of weights of the edges in the subgraph induced…

Data Structures and Algorithms · Computer Science 2021-10-27 Yasushi Kawase , Atsushi Miyauchi

In this paper we give the first efficient algorithms for the $k$-center problem on dynamic graphs undergoing edge updates. In this problem, the goal is to partition the input into $k$ sets by choosing $k$ centers such that the maximum…

Data Structures and Algorithms · Computer Science 2024-01-10 Emilio Cruciani , Sebastian Forster , Gramoz Goranci , Yasamin Nazari , Antonis Skarlatos

Efficient layout of large-scale graphs remains a challenging problem: the force-directed and dimensionality reduction-based methods suffer from high overhead for graph distance and gradient computation. In this paper, we present a new graph…

Social and Information Networks · Computer Science 2020-08-19 Minfeng Zhu , Wei Chen , Yuanzhe Hu , Yuxuan Hou , Liangjun Liu , Kaiyuan Zhang

We introduce and study the problem of balanced districting, where given an undirected graph with vertices carrying two types of weights (different population, resource types, etc) the goal is to maximize the total weights covered in vertex…

Data Structures and Algorithms · Computer Science 2025-06-03 Prathamesh Dharangutte , Jie Gao , Shang-En Huang , Fang-Yi Yu

For approximate nearest neighbor search, graph-based algorithms have shown to offer the best trade-off between accuracy and search time. We propose the Dynamic Exploration Graph (DEG) which significantly outperforms existing algorithms in…

Information Retrieval · Computer Science 2023-07-25 Nico Hezel , Kai Uwe Barthel , Konstantin Schall , Klaus Jung