The planted densest subgraph problem

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

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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 … 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 ... earth metaverse https://mubsn.com

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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 … 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 http://sud03r.github.io/papers/approx-19.pdf earth metals models

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

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The planted densest subgraph problem

DUAL ALGORITHMS FOR THE DENSEST SUBGRAPH PROBLEM

Webbrandom models of instances with a planted dense subgraph, and study approximation algorithms for computing the densest subgraph in them. These models are inspired by … 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 …

The planted densest subgraph problem

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WebbRounding Sum-of-Squares Relaxations Boaz Barak Jonathan Kelnery David Steurerz December 23, 2013 Abstract We present a general approach to rounding semidefinite programming relax 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 …

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. 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.

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.

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 ...

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 … earth meteor impactsWebb5 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]. ct income tax changes for 2021Webb2 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. … ct income limits for medicaidWebbDensest 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 … ct in chemnitzWebbsubgraph 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 ct income tax line 48bWebbRecently, [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- ct income tax lawsWebb29 apr. 2024 · Abstract: Given an undirected graph $G$, the Densest $k$-subgraph problem (DkS) asks to compute a set $S \subset V$ of cardinality $\left\lvert S\right\rvert \leq k$ … ct income tax forbes