A New Algorithm for Generating All the Maximal Independent Sets. Tsukiyama, S., Ide, M., Ariyoshi, H., & Shirakawa, I. *SIAM Journal on Computing*, 6(3):505--517, September, 1977. Paper doi abstract bibtex Theproblem of generating all the maximal independent sets (or maximalcliques) of a given graph is fundamental in graph theoryand is also one of the most important in termsof the application of graph theory. In this paper, wepresent a new efficient algorithm for generating all the maximalindependent sets, for which processing time and memory space arebounded by O(nmmu) and O(n+m), respectively, where n, m, andmu are the numbers of vertices, edges, and maximal independentsets of a graph. 1977 (Copyright) Society for Industrial and Applied Mathematics

@article{ Tsukiyama1977a,
abstract = {Theproblem of generating all the maximal independent sets (or maximalcliques) of a given graph is fundamental in graph theoryand is also one of the most important in termsof the application of graph theory. In this paper, wepresent a new efficient algorithm for generating all the maximalindependent sets, for which processing time and memory space arebounded by O(nmmu) and O(n+m), respectively, where n, m, andmu are the numbers of vertices, edges, and maximal independentsets of a graph. 1977 (Copyright) Society for Industrial and Applied Mathematics},
author = {Tsukiyama, Shuji and Ide, Mikio and Ariyoshi, Hiromu and Shirakawa, Isao},
doi = {10.1137/0206036},
file = {:Users/KunihiroWASA/Dropbox/paper/1977/Tsukiyama et al., A New Algorithm for Generating All the Maximal Independent Sets, 1977.pdf:pdf},
issn = {0097-5397},
journal = {SIAM Journal on Computing},
keywords = {1,4,6,algorithm,all the maximal independent,and is also interesting,backtracking,graph,in terms of complexity,introduction,is fundamental in the,its applications,maximal clique,maximal cliques,maximal independent set,of computation,or,sets,the efficient search for,theory of graphs and},
month = {September},
number = {3},
pages = {505--517},
title = {{A New Algorithm for Generating All the Maximal Independent Sets}},
url = {http://epubs.siam.org/doi/abs/10.1137/0206036},
volume = {6},
year = {1977}
}

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