Colored top-K range-aggregate queries

  • Authors:
  • Biswajit Sanyal;Prosenjit Gupta;Subhashis Majumder

  • Affiliations:
  • Department of Information Technology, Government College of Engg. & Textile Tech., Hooghly, West Bengal 712 201, India;Department of Computer Science and Engineering, Heritage Institute of Technology, Kolkata, West Bengal 700 107, India;Department of Computer Science and Engineering, Heritage Institute of Technology, Kolkata, West Bengal 700 107, India

  • Venue:
  • Information Processing Letters
  • Year:
  • 2013

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Abstract

Top-K query processing is an important building block for ranked retrieval, with numerous applications. Top-K queries return a ranked set of the k best data objects based on the ranks/scores of the objects, assigned by some ranking/scoring function. In many applications, including databases and network routing, input objects are partitioned into categories denoted by distinct colors and a query asks for reporting the set of top-K categories of objects based on different aggregation functions like ''Max/Min'', ''Count'', etc. We consider a set of problems defined on colored geometric objects (points/intervals) in R^d (respectively in [0,U]^2). We are given a set S of n colored geometric objects in R^d (respectively in [0,U]^2). Optionally, each object p has a weight w(p)=0. The number of colors is m==1 and for case (ii) and (iii) in d=1 and dynamic solution is provided for case (i) in d=1. For case (iii) a static solution is also provided in [0,U]^2. Techniques include transformation to the uncolored top-K problem and persistence.