The planted densest subgraph problem

Author: ythx

August undefined, 2024

WebbHowever, frequently the densest subgraph problem fails in detecting large near-cliques in networks. In this work, we introduce the k-clique densest subgraph problem, k ≥ 2. This generalizes the well studied densest subgraph problem which is obtained as a … Webb20 dec. 2024 · The densest subgraph problem is one of the most well-studied optimization problems. Let G= (V,E,w) be an edge-weighted undirected graph consisting of n= V …

(PDF) The Landscape of the Planted Clique Problem: Dense

WebbIn problem of sparse principal components analysis (SPCA), the goal is to use n i.i.d. samples to estimate the leading eigenvector(s) of a p times p covariance matrix, which are known a priori to be sparse, say with at most k non-zero entries. This paper studies SPCA in the high-dimensional regime, where the model dimension p, sparsity index k, and sample … WebbThis paper considers the problem of computing the dense k -vertex subgraph of a given graph, namely, the subgraph with the most edges. An approximation algorithm is … church shooting stopped by parishioner

Applied Sciences Free Full-Text Online Social Space …

In graph theory and computer science, a dense subgraph is a subgraph with many edges per vertex. This is formalized as follows: let G = (V, E) be an undirected graph and let S = (VS, ES) be a subgraph of G. Then the density of S is defined to be: The densest subgraph problem is that of finding a subgraph of maximum dens… Webb6 nov. 2024 · We then move a step forward and showcase an application of the multilayer core-decomposition tool to the problem of densest-subgraph extraction from multilayer networks. We introduce a definition of multilayer densest subgraph that trades-off between high density and number of layers in which the high density holds, ... WebbConscious and functional use of online social spaces can support the elderly with mind cognitive impairment (MCI) in their daily routine, not only for systematic monitoring, but to achieve effective targeted engagement. In this sense, although social involvement can be obtained when elder’s experiences, interests, and goals are shared and accepted … dewolf berg and associates

(PDF) The Landscape of the Planted Clique Problem: Dense

On Finding Dense Subgraphs

Webb2 The densest k-subgraph problem The density of a graph G= (V;E) is de ned to be the average number of edges incident at a vertex or average degree of G: d(G) = jEj=jVj:The … WebbDense subgraph discovery is an important primitive for many real-world applications such as community detection, link spam detection, distance query indexing, and computa-tional biology. In this thesis, our focus is on solving the densest subgraph problem - ﬁnding a subgraph with the highest average degree in a graph. dewolf construction limitedWebb11 sep. 2024 · We consider the densest k-subgraph problem: given graph G = (V,E), identify the k-node subgraph of G of maximum density, i.e., maximum average degree. … de wolf clairy \u0026 steven bvba

"Webb29 apr. 2024 · We propose some natural semi-random models of instances with a planted dense subgraph, and study approximation algorithms for computing the densest … " - The planted densest subgraph problem

The planted densest subgraph problem

[1904.07174] The Landscape of the Planted Clique Problem: …

Webb25 mars 2024 · The Densest Subgraph Problem requires to find, in a given graph, a subset of vertices whose induced subgraph maximizes a measure of density. The problem has received a great deal of attention in the algorithmic literature over the last five decades, with many variants proposed and many applications built on top of this basic definition. Webbundirected graph, the original DSD problem [34] finds a subgraph with the highest edge-density, which is defined as the number of edges over the number of vertices in the subgraph, and it is often termed as densest subgraph (DS). This problem was also studied on directed graphs [39] by extending the above edge-density for considering the edge ...

Did you know?

WebbSynonyms for densest in Free Thesaurus. Antonyms for densest. 80 synonyms for dense: thick, close, heavy, solid, substantial, compact, compressed, condensed ...

WebbDensest subgraph problem (DSG) and the densest subgraph local decomposition problem. Faster and Scalable Algorithms for Densest Subgraph and Decomposition; Optimization. Semi-Supervised Learning with Decision Trees: Graph Laplacian Tree Alternating Optimization; Dimension Reduction. A Probabilistic Graph Coupling View of Dimension … WebbThe Densest Subgraph Problem can be solved using 2 algorithms. They are. Max flow based algorithm in Directed graphs. Flow based algorithms by Goldberg in undirected graphs. Greedy Algorithm which gives 2-Approx algorithm in undirected and directed graphs. We have seen flow based algorithms and Max flow/min cut based algorithms in …

Webb•We deﬁne the notion of densest at least k 1,k 2 subgraph problem for directed graphs and give a 2-approximation algorithm for it. – Densest at most k subgraph problem (Section 4): •We show that approximating the densest at most k subgraph problem is as hard as the densest k subgraph problem within a constant factor, speciﬁcally an α Webbsubgraph is sparse, and one where every k-subgraph is even sparser. In contrast, our result has perfect com-pleteness and provides the rst additive inapproxima-bility for Densest k-Subgraph the best one can hope for as per the upper bound of [Bar15]. Planted Clique The Planted Clique problem is a special case of our problem, where the inputs

WebbInthispaper,weintroducethePrecedence-Constrained Min Sum Set Cover problem, which has connections to Min Sum Set Cover, Densest Subgraph, Precedence-Constrained Scheduling to Minimize Total Weighted Completion Time,Schedul-ing with AND/OR Precedence Constraints,andseveralotherproblems.

Webbapproximation factors for the Densest k-subgraph problem, and also show that we can recover a large part of the planted solution. We note that semide nite programming … dewolf continuation fresnoWebbHowever,when looking for the "densest at-most-k subgraph" or "densest at-least-k" subgraph, the two definitions of density appear importantly different. Densest at-most-k subgraph: Using the average-degree definition, this problem is NP-hard, and its approximability is essentially equivalent to that of the classic "k-densest subgraph" … dewolf continuation highWebbSpecGreedy: Unified Dense Subgraph Detection. SpecGreedy is a unified fast algorithm for the generalized densest subgraph detection problem (GenDS) based on the graph spectral properties and a greedy peeling approach.. Theory & Correspondences: the unified formulation, GenDS, subsumes many real problems from different applications; and its … dewolf craneWebb2 okt. 2024 · The planted densest subgraph detection problem refers to the task of testing whether in a given (random) graph there is a subgraph that is unusually dense. … dewolf custom homesWebb15 apr. 2024 · Using the first moment method, we study the densest subgraph problems for subgraphs with fixed, but arbitrary, overlap size with the planted clique, and provide evidence of a phase transition... dewolf continuation high schoolWebb18 jan. 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly … dewolf class shipWebbDetermining the optimal feature set is a challenging problem, especially in an unsupervised domain. To mitigate the same, this paper presents a new unsupervised feature selection method, termed as densest feature graph augmentation with disjoint feature clusters. The proposed method works in two phases. The first phase focuses on finding the maximally … dewolf customer service