Efficient Detection and Protection of Information in Cross Tabulated Tables II: Minimal Linear Invariants

Ming-Yang Kao ()
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Ming-Yang Kao: Duke University

Journal of Combinatorial Optimization, 1997, vol. 1, issue 2, No 6, 187-202

Abstract: Abstract To protect sensitive information in a cross tabulated table, it is acommon practice to suppress some of the cells. A linear combination of thesuppressed cells is called a linear invariant if it has a unique feasible value.Intuitively, the information contained in a linear invariant is not protectedbecause its value can be uniquely determined. Using a decomposition approach,this paper establishes a fundamental correspondence between linear invariantsof a table and edge cuts of a graph induced from the table. Thiscorrespondence is employed to give a linear-time algorithm for finding animportant class of linear invariants called therow or column linear invariants. In subsequent papers, thiscorrespondence is used to solve via graph theoretic techniques a wide varietyof problems for protecting information in a table.

Keywords: Mathematical Modeling; Linear Combination; Industrial Mathematic; Discrete Geometry; Efficient Detection (search for similar items in EconPapers)
Date: 1997
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Citations: View citations in EconPapers (1)

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DOI: 10.1023/A:1009712000657

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