Greedily finding a dense subgraph
WebFeb 25, 2024 · Fig. 2. The performance of SpecGreedy for the real-world graphs. (a) SpecGreedy runs faster than Greedy in all graphs for detecting the densest subgraph with the same or comparable density, achieves 58.6\times speedup for ca-DBLP2012 and about 3 \times for the largest graph soc-twitter. 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
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...
WebMar 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. WebJul 3, 2024 · Dense subgraph discovery is an important graph-mining primitive with a variety of real-world applications. One of the most well-studied optimization problems for dense subgraph discovery is the densest subgraph problem, where given an edge-weighted undirected graph G=(V,E,w), we are asked to find S⊆ V that maximizes the …
WebAn Efficient Approach to Finding Dense Temporal Subgraphs Shuai Ma, Renjun Hu, Luoshu Wang, Xuelian Lin, Jinpeng Huai Abstract—Dense subgraph discovery has proven useful in various applications of temporal networks. We focus on a special class of temporal networks whose nodes and edges are kept fixed, but edge weights regularly vary with ... 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.
WebFeb 27, 2024 · One such approach to discover dense components of a graph is to find the densest subgraph of a given graph. By observing the applications that exploit the methods of finding densest subgraphs,...
WebJan 10, 2024 · The Louvain algorithm is used for finding them modular communities, while in the case of DCS, then the Charikar algorithm is used. Each extracted sub-graph of the alignment graph represents a connected sub-graph of the unweighted networks and a subgraph of the conceptual network with the given properties (density or modularity) smallest ice makerWebAug 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. song lyrics nothing but a good timeWebApr 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 … song lyrics no worry beach chairWebIn 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 … smallest ice cream makerWebGreedily 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 … song lyrics not today by hillsong unitedWebSep 15, 2002 · The k - f ( k) dense subgraph problem ( ( k, f ( k ))-DSP) asks, given a graph G of v vertices and e edges and an integer k, whether there is a k -vertex subgraph which has at least f ( k) edges. When f ( k )= k ( k −1)/2, ( k, f ( k ))-DSP is equivalent to the well known k -clique problem [12]. song lyrics nothing compares to youWebJan 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) song lyrics often misunderstood