The planted densest subgraph problem

Author: rwuk

August undefined, 2024

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- 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 …

Algorithms Free Full-Text Augmentation of Densest Subgraph …

WebbHowever,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" … WebbMore broadly, the max-exposure problem is related to the densest k-subgraph problem in hypergraphs. In the densest k-subhypergraph problem, we are given a hypergraph H= (X;E), and we want to nd a set of kvertices with a maximum number of induced hyperedges. In general hypergraphs, nding k-densest subgraphs is known to be (conditionally) hard to ... how many seasons are in hazbin hotel

Planted Models for the Densest $k$-Subgraph Problem - NASA/ADS

Webb15 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... WebbSynonyms for densest in Free Thesaurus. Antonyms for densest. 80 synonyms for dense: thick, close, heavy, solid, substantial, compact, compressed, condensed ... Webb11 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. … how did carson daly\u0027s parents die

Densest Subgraph — CS328-2024 Notes - GitHub Pages

The Maximum Exposure Problem

WebbHowever, the problem is not even known to be APX-hard (under standard com-plexity assumptions). Feige [15] showed that the Densest k-Subgraph Problem does not admit a ˆ-approximation (for some universal constant ˆ>1) assuming that random 3-SAT formulas are hard to refute. Khot [19] ruled out PTAS for the problem under the assumption that ... WebbETH? Recall that the Planted Clique conjecture is that there is no polynomial time algorithm that distinguishes random graphs with graphs that have a planted -clique. Hence, 1. PC is a special (average) case of the 1 2-v.s.-1 Densest- -Subgraph problem. 2. [AAM+11] showed that PC also implies hardness for the easier (1)-v.s.-1 Densest- -Subgraph, how did carson lain morgan dieWebbConscious 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 … how did carrie underwood lose weight

"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 … " - The planted densest subgraph problem

The planted densest subgraph problem

Webb20 apr. 2024 · The problem of finding dense components of a graph is a major primitive in graph mining and data analysis. The densest subgraph problem (DSP) that asks to find … 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 …

Did you know?

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 … 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。

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. … Webb2 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 …

Webb5 juni 2024 · Notice that the Densest-Subgraph problem can be extended also to edge-weighted networks. Recently, Wu et al. ... In Synthetic1, each planted dense subgraph contains 30 nodes and has edge weights randomly generated in the interval [0.8, 1]. WebbWe propose some natural semi-random models of instances with a planted dense subgraph, and study approximation algorithms for computing the densest subgraph in …

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… how did carson city nevada get its nameWebb29 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 did carrie underwood and mike fisher meetWebbsubgraph 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 how many seasons are in hogwarts legacyWebbDensest 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 … how did carstairs get its nameWebbthe 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 ... how did carson get waterWebb18 jan. 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly … how many seasons are in henry dangerWebb29 apr. 2024 · We propose some natural semi-random models of instances with a planted dense subgraph, and study approximation algorithms for computing the densest … how many seasons are in horimiya