Generating All Maximal Independent Sets: NP-Hardness and Polynomial-Time Algorithms
نویسندگان
چکیده
منابع مشابه
Generating all Maximal Independent Sets: NP-Hardness and Polynomial-Time Algorithms
Suppose that an independence system (E, ) is characterized by a subroutine which indicates in unit time whether or not a given subset of E is independent. It is shown that there is no algorithm for generating all the K maximal independent sets of such an independence system in time polynomial in IEI and K, unless V. However, it is possible to apply ideas of Paull and Unger and of Tsukiyama et a...
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Generating all configurations that satisfy a given specification (e.g., all permutations of n objects that do not fix any object) is a well-studied problem in combinatorics [6]. Graph theory suggests many interesting problems of this type (see, e.g., [7]). Among them, generating all maximal independent sets of a given graph is one that has attracted considerable attention in the past [4,5,8]. (...
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ژورنال
عنوان ژورنال: SIAM Journal on Computing
سال: 1980
ISSN: 0097-5397,1095-7111
DOI: 10.1137/0209042