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 … 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...
The planted densest subgraph problem
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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 … Webb14 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 …
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 $\left\lvert S\right\rvert \leq k$ … Webbsubgraph 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
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 ... WebbSynonyms for densest in Free Thesaurus. Antonyms for densest. 80 synonyms for dense: thick, close, heavy, solid, substantial, compact, compressed, condensed ...
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
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. polytech grenoble ieseWebb29 apr. 2024 · We propose some natural semi-random models of instances with a planted dense subgraph, and study approximation algorithms for computing the densest … shannon english mdWebb2 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 … polytech grenoble tisWebb6 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, ... polytech floors rochester mnWebbInthispaper,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. shannon enright smith albuquerqueWebb25 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 … shannon enterprises insultechWebbrandom models of instances with a planted dense subgraph, and study approximation algorithms for computing the densest subgraph in them. These models are inspired by … shannon english yale