The planted densest subgraph problem
WebbPlanted Bipartite Graph Detection [23.50927042762206] ランダムグラフに隠れた二部グラフを検出するタスクについて検討する。 我々は、この検出問題に対して、密度とスパース状態の両方において、厳密な上界と下界を導出する。 Webb6 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, ...
The planted densest subgraph problem
Did you know?
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 ... 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 …
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... WebbThe 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 …
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. 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 …
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 ...
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. … software to block downloading from internetWebb14 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 … software to block robocallsWebb•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 slowness in outlookWebb2 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 … software to block sitesWebbWe propose some natural semi-random models of instances with a planted dense subgraph, and study approximation algorithms for computing the densest subgraph in … software to block tracking cookiesWebbInthispaper,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. software to block tracking mobile numberWebb15 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 … software to block websites on pc