The planted densest subgraph problem

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

Fugu-MT 論文翻訳(概要): Random Subgraph Detection Using …

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 … http://sud03r.github.io/papers/approx-19.pdf how to scrape tartar from dog teeth https://wlanehaleypc.com

Lecture 1: Quasi-Polynomial Approximation for Bilinear Optimization

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. 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. … 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 how to scrape texture off ceiling

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

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The planted densest subgraph problem

Densest Subgraph — CS328-2024 Notes - GitHub Pages

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... 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.

The planted densest subgraph problem

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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 … 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 …

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 … 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. …

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 … 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 ...

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 …

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 … how to scrape textured ceilingsWebbThis 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 … how to scrape tweetsWebb29 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 to scrape the webWebb19 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. how to scrape texture off wallsWebbHowever, 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 … north park beerWebbIn the Densest -Subgraph Problem (D S) we are given a graph G= (V;E) and a parameter , and need to nd a subset S V of size that contains the most edges among all such … northpark baptist church trussville alabamaWebbHowever,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" … north park baseball