Extracting Co-Occurrence Relations from ZDDs

doi:10.3390/a5040654

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Algorithms 2012, 5(4), 654-667; doi:10.3390/a5040654

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Extracting Co-Occurrence Relations from ZDDs

Takahisa Toda

ERATO, MINATO Discrete Structure Manipulation System Project, JST, Sapporo-Shi 060-0814, Japan

Received: 27 September 2012; in revised form: 4 December 2012 / Accepted: 6 December 2012 / Published: 13 December 2012

(This article belongs to the Special Issue Graph Algorithms)

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Abstract: A zero-suppressed binary decision diagram (ZDD) is a graph representation suitable for handling sparse set families. Given a ZDD representing a set family, we present an efficient algorithm to discover a hidden structure, called a co-occurrence relation, on the ground set. This computation can be done in time complexity that is related not to the number of sets, but to some feature values of the ZDD. We furthermore introduce a conditional co-occurrence relation and present an extraction algorithm, which enables us to discover further structural information.

Keywords: BDD; ZDD; partition; co-occurrence; data mining

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MDPI and ACS Style

Toda, T. Extracting Co-Occurrence Relations from ZDDs. Algorithms 2012, 5, 654-667.

AMA Style

Toda T. Extracting Co-Occurrence Relations from ZDDs. Algorithms. 2012; 5(4):654-667.

Chicago/Turabian Style

Toda, Takahisa. 2012. "Extracting Co-Occurrence Relations from ZDDs." Algorithms 5, no. 4: 654-667.

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