Greedily finding a dense subgraph
WebApr 20, 2024 · The problem of finding dense components of a graph is a major primitive in graph mining and data analysis. The densest subgraph problem (DSP) that asks to find … Webin the subgraph induced by nodes in S. Finding subgraphs of maximum density is a very well studied problem. One can also generalize this notion to directed graphs. For a …
Greedily finding a dense subgraph
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WebJan 1, 2009 · The dense subgraph problem (DSG) asks, given a graph G and two integers K 1 and K 2, whether there is a subgraph of G which has at most K 1 vertices and at least K 2 edges. When K 2=K 1... WebGreedily Finding a Dense Subgraph Y. Asahiro, K. Iwama, H. Tamaki, T. Tokuyama Mathematics, Computer Science J. Algorithms 2000 TLDR The upper bound for general k shows that this simple algorithm is better than the best previously known algorithm at least by a factor of 2 when k ≥ n11/18. 237 Clustering and domination in perfect graphs
WebJan 1, 2024 · Greedy approximation algorithms for finding dense components in a graph Riccardo Dondi et al. Top-k overlapping densest subgraphs: approximation algorithms and computational complexity J. Comb. Optim. (2024) Lata Dyaram et al. Unearthed: the other side of group cohesiveness J. Soc. Sci. (2005) View more references Cited by (0) WebGiven an n-vertex graph with nonnegative edge weights and a positive integer k ≤ n, our goal is to find a k-vertex subgraph with the maximum weight. We study the following greedy algorithm for this problem: repeatedly remove a vertex with the minimum weighted-degree in the currently remaining graph, until exactly k vertices are left.
WebOct 1, 2024 · Finding dense subgraphs from sparse graphs is a fundamental graph mining task that has been applied in various domains, such as social networks, biology, and … WebGreedily Finding a Dense Subgraph Yuichi Asahiro 1 , Kazuo Iwama 1., Hisao Tamaki 2, and Takeshi Tokuyama 2 ... and are asked to find a k-vertex subgraph with the …
WebOct 15, 2024 · Finding dense components in graphs is a major topic in graph mining with diverse applications including DNA motif detection, unsupervised detection of interesting stories from micro-blogging streams in real time, indexing graphs for efficient distance query computation, and anomaly detectionin financial networks, and social networks [16].
WebDense vs. Random Problem. Distinguish G ~ G(n,p), log-density δ from a graph which has a k-subgraph of log-density δ+ε ( Note. kp = k(nδ/n) = kδ(k/n)1-δ < kδ) More difficult than the planted model earlier (graph inside is no longer random) Eg. k-subgraph could have log-density=1 and not have triangles incendies alsaceWebMar 27, 2013 · On account of the new invariant, no disconnected subgraph is yielded. Each connected subgraph is yielded. For a set of vertices S that induces a connected subgraph, follow the branches that agree with S. It's not possible for a proper subset of S to have no adjacency to the rest of S, so S is not pruned. The new pseudocode is as follows. incendies afficheWebWe study the following greedy algorithm for this problem: repeatedly remove a vertex with the minimum weighted-degree in the currently remaining graph, until exactly k vertices … incognito whiteWebJan 1, 2005 · Given an n -vertex graph with non-negative edge weights and a positive integer k ≤ n, we are to find a k -vertex subgraph with the maximum weight. We study … incendies angleterreWebGiven an n-vertex graph with non-negative edge weights and a positive integer k ≤ n, we are to find a fc-vertex subgraph with the maximum weight. We study the following greedy … incendies a9WebIn graph theory and computer science, a dense subgraph is a subgraph with many edges per vertex. This is formalized as follows: let G = (V, E) be an undirected graph and let S = (VS, ES) be a subgraph of G. Then the … incendies analyse filmWebAug 10, 2015 · Here a dense subgraph is defined as a subgraph with high density (#.edge / #.node). Existing studies of this problem either focus on finding the densest subgraph or identifying an optimal clique-like dense subgraph, and they adopt a simple greedy approach to find the top-kdense subgraphs. incognito wheels