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Efficient size-prescribed k-core search

Published: 15 March 2024 Publication History

Abstract

k-core is a subgraph where every node has at least k neighbors within the subgraph. The k-core subgraphs has been employed in large platforms like Network Repository to comprehend the underlying structures and dynamics of the network. Existing studies have primarily focused on finding k-core groups without considering their size, despite the relevance of solution sizes in many real-world scenarios. This paper addresses this gap by introducing the size-prescribed k-core search (SPCS) problem, where the goal is to find a subgraph of a specified size that has the highest possible core number. We propose two algorithms, namely the TSizeKcore-BU and the TSizeKcore-TD, to identify cohesive subgraphs that satisfy both the k-core requirement and the size constraint. Our experimental results demonstrate the superiority of our approach in terms of solution quality and efficiency. The TSizeKcore-BU algorithm proves to be highly efficient in finding size-prescribed k-core subgraphs on large datasets, making it a favorable choice for such scenarios. On the other hand, the TSizeKcore-TD algorithm is better suited for small datasets where running time is less critical.

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cover image ACM Conferences
ASONAM '23: Proceedings of the 2023 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining
November 2023
835 pages
ISBN:9798400704093
DOI:10.1145/3625007
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Published: 15 March 2024

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Author Tags

  1. social network
  2. k-core
  3. community detection
  4. subgraph search
  5. prescribed size

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ASONAM '23 Paper Acceptance Rate 53 of 145 submissions, 37%;
Overall Acceptance Rate 116 of 549 submissions, 21%

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