The planted 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 … 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
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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 … 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. …
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. 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 ...
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 $\left\lvert S\right\rvert \leq k$ … WebbSpecGreedy: 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 …
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
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 … ray bradbury driving blindWebbWe propose some natural semi-random models of instances with a planted dense subgraph, and study approximation algorithms for computing the densest subgraph in … ray bradbury dark they were and golden-eyedWebb6 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, ... ray bradbury cause of deathWebb19 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. ray bradbury der illustrierte mannWebb2 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 … ray bradbury childhood factsWebbsubgraph 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 simple recipe book download freeWebbundirected 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 ... ray bradbury death is a lonely business