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A Measure and Conquer Algorithm for the Minimum User Spatial-Aware Interest Group Query Problem

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New Trends in Computer Technologies and Applications (ICS 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1013))

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Abstract

Location-based social networks are important issues in the recent decade. In modern social networks, websites such as Twitter, Facebook, and Plurk, attempt to get the accurate address positions from their users, and try to reduce the gap between virtuality and reality. This paper mainly aims at both the interests of Internet users and their real positions. This issue is called the spatial-aware interest group query problem (SIGQP). Given a user set U with n users, a keywords set W with m words, and a spatial objects set S with s items, each of which contains one or multiple keywords. If a user checks in a certain spatial object, it means the user could be interested in that part of keywords, which is countable to clarify the interests of the user. The SIGQP then tries to find a k-user set \(U_{k}\), \(k \le n\), such that the union of keywords of these k users will equal to W, and additionally, the diameter (longest Euclidean distance of two arbitrary users in \(U_k\)) should be as small as possible. The SIGQP has been proved as NP-Complete, and two heuristic algorithms have been proposed. Extended from SIGQP, the main problem of this paper prioritizes in finding the smallest k for \(U_{k}\) to cover all the keywords, with the users’ distance as the secondary criterion, called as “minimum user spatial-aware interest group query problem” (MUSIGQP). This paper further designs an exact algorithm on a measure-&-conquer-based method to precisely solve this problem, and a performance analysis is given.

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Acknowledgment

This research was supported by the Ministry of Science and Technology in Taiwan under the grants MOST 107-2813-C-845-025-E.

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Authors and Affiliations

  1. Department of Computer Science, University of Taipei, Taipei, Taiwan (R.O.C.)

    Chih-Yang Huang & Yen Hung Chen

  2. Research Center for Information Technology Innovation, Academia Sinica, Taipei, Taiwan (R.O.C.)

    Po-Chuan Chien

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  1. Chih-Yang Huang
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Correspondence to Chih-Yang Huang .

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Editors and Affiliations

  1. National Yunlin University of Science and Technology, Douliu, Taiwan

    Chuan-Yu Chang

  2. National Yunlin University of Science and Technology, Douliu, Taiwan

    Chien-Chou Lin

  3. Southern Taiwan University of Science and Technology, Tainan, Taiwan

    Horng-Horng Lin

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Huang, CY., Chien, PC., Chen, Y.H. (2019). A Measure and Conquer Algorithm for the Minimum User Spatial-Aware Interest Group Query Problem. In: Chang, CY., Lin, CC., Lin, HH. (eds) New Trends in Computer Technologies and Applications. ICS 2018. Communications in Computer and Information Science, vol 1013. Springer, Singapore. https://doi.org/10.1007/978-981-13-9190-3_47

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  • DOI: https://doi.org/10.1007/978-981-13-9190-3_47

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  • Online ISBN: 978-981-13-9190-3

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