Proceedings of the 2019 International Conference on Management of Data 2019
DOI: 10.1145/3299869.3324962
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Distance-generalized Core Decomposition

Abstract: The k-core of a graph is defined as the maximal subgraph in which every vertex is connected to at least k other vertices within that subgraph. In this work we introduce a distancebased generalization of the notion of k-core, which we refer to as the (k, h)-core, i.e., the maximal subgraph in which every vertex has at least k other vertices at distance ≤ h within that subgraph. We study the properties of the (k, h)core showing that it preserves many of the nice features of the classic core decomposition (e.g., … Show more

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Cited by 62 publications
(57 citation statements)
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“…First, the most commonly one is the minimum degree [11]- [14], which demands that degree of each node is at least within the subgraph. Meanwhile, the minimum degree is also applied to -core [15], [16], and [17]- [19] propose to use -core model to search cohesive subgraphs in attributed graphs. Then, some works study the model oftruss [11], [20]- [23], and it requires one edge within the subgraph is contained in triangles.…”
Section: Related Workmentioning
confidence: 99%
“…First, the most commonly one is the minimum degree [11]- [14], which demands that degree of each node is at least within the subgraph. Meanwhile, the minimum degree is also applied to -core [15], [16], and [17]- [19] propose to use -core model to search cohesive subgraphs in attributed graphs. Then, some works study the model oftruss [11], [20]- [23], and it requires one edge within the subgraph is contained in triangles.…”
Section: Related Workmentioning
confidence: 99%
“…According to the concepts of k-core [17], [18], [21] and skyline [19], [25], the skyline community is defined in the multi-valued graph. Therefore, a skyline community in the multi-valued graph G should be cohesive and not be dominated by other communities.…”
Section: Problem Statementmentioning
confidence: 99%
“…Dense subgraph extraction in social networks. The dense subgraph extraction problem aims at extracting densely connected communities in social networks [4,6,8,13,15,16,22,28,32,36]. For example, Fang et al consider the keywords and social tightness to select nodes from the social network to form a -core [8].…”
Section: Related Workmentioning
confidence: 99%