NDLI: Efficient generation of all regular non-dominated coteries

Content Provider	ACM Digital Library
Author	Kameda, Tiko Makino, Kazuhisa
Abstract	A coterie is a family of subsets such that every pair of subsets in it has at least one element in common but neither is a subset of the other. We introduce an operator &sgr;, which transforms a ND (non-dominated; see the Introduction for definition) coterie to another ND coterie. A “regular” coterie is a natural generalization of a “vote-assignable” coterie, which is used in some practical applications. We show that any regular ND coterie C can be transformed to any other regular ND coterie D by judiciously applying &sgr; operations to C at most \|C\| + \|D\| - 2 times.As another application of the &sgr; operation, we present an incrementally-polynomial-time algorithm for generating all regular ND coteries. We then introduce the concept of a “g-regular” function, as a generalization of availability. We show how to construct an optimum coterie C with respect to a g-regular function in O(n3\|C\|) time.
Starting Page	279
Ending Page	288
Page Count	10
File Format	PDF
ISBN	1581131836
DOI	10.1145/343477.343629
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2000-07-16
Publisher Place	New York
Access Restriction	Subscribed
Content Type	Text
Resource Type	Article

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Efficient generation of all regular non-dominated coteries