The planted densest subgraph problem

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Webb25 mars 2024 · The densest k-subgraph problem is the problem of finding a k-vertex subgraph of a graph with the maximum number of edges. In order to solve large … Webb19 juli 2024 · Here we show that Gaussian boson sampling (GBS) can be used for dense subgraph identification. Focusing on the NP-hard densest k -subgraph problem, we find that stochastic algorithms are enhanced through GBS, which selects dense subgraphs with high probability.

Arora et al. (2012) – Research Notebook

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. Webb29 apr. 2024 · Abstract: Given an undirected graph $G$, the Densest $k$-subgraph problem (DkS) asks to compute a set $S \subset V$ of cardinality $\left\lvert S\right\rvert \leq k$ … how good are msi motherboards

High-dimensional analysis of semidefinite relaxations for sparse ...

Webb15 apr. 2024 · The Landscape of the Planted Clique Problem: Dense subgraphs and the Overlap Gap Property David Gamarnik, Ilias Zadik In this paper we study the … WebbDetermining 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 … Webbthe conjectured hardness of the planted densest subgraph problem which is a planted variant of the well-studied densest subgraph problem. This assumption was previously used to design public-key encryptions schemes (Applebaum et al., STOC ’10) and to study the computational complexity of ﬁnancial products (Arora et al., ICS ’10). ∗seny ... highest latency cpu cache

A novel algorithm for finding top-k weighted overlapping densest ...

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

Webb2 juni 2024 · 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 … 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… highest largest lake in the worldWebbundirected 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 ... highest land in florida above sea level

"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

Webb2 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. … Webb14 aug. 2024 · Our objective captures both the standard densest subgraph problem and the maximum k-core as special cases, and provides a way to interpolate between and …

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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 … WebbRecently, [Andersen and Chellapilla 2009] considered two variations of the problem of ﬁnding a densest k subgraph. The ﬁrst problem, the densest at-least-k-subgraph prob-lem (DalkS) asks for an induced subgraph of highest density among all subgraphs with at least k nodes. This relaxation makes DalkS signiﬁcantly easier to approximate and An-

WebbWe propose some natural semi-random models of instances with a planted dense subgraph, and study approximation algorithms for computing the densest subgraph in … 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 …

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 … WebbReview 2. Summary and Contributions: The authors study the problem of selecting k out of n random variables to maximize either the expected highest value or the expected second highest value, motivated by welfare and revenue maximization problems in auctions with a limit on the number of bidders (among other applications).The authors show that when …

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 …

Webb7 apr. 2024 · このサイトではarxivの論文のうち、30ページ以下でCreative Commonsライセンス（CC 0, CC BY, CC BY-SA）の論文を日本語訳しています。 highest large city in the worldWebb2 maj 2012 · Roughly speaking, the densest subgraph problem is tantamount to figuring out whether or not the seller planted mortgages with no payout in of the CDOs he issued. The seller then has preferences for maximizing the total amount of lemons costs he can extract from the buyer, subject to the constraint that there is no polynomial time … highest land area in fort meyersWebbThe 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 … highest lake in the world by elevationWebb25 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. highest lakes in the usWebbHowever,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" … highest land on earthWebb15 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 … highest land elevation in usaWebb11 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. … highest land price in usa