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Titlebook: Applications of Combinatorics and Graph Theory to the Biological and Social Sciences; Fred Roberts Conference proceedings 1989 Springer-Ve

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The Micro-Macro Connection: Exact Structure and Process,nd exact processual characterization of cliquing and ranking in the macromodel which exactly fits the total empirical sociometric data sets of Davis-Leinhardt and Hallinan. Thus, the method produces a processual solution to some of the substantive structural questions discussed by Homans in The Human Group.
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0940-6573 based on the proceedings of a workshop which was an integral part of the 1987-88 IMA program on APPLIED COMBINATORICS. We are grateful to the Scientific Committee: Victor Klee (Chairman), Daniel Kleitman, Dijen Ray-Chaudhuri and Dennis Stanton for planning and implementing an exciting and stimulatin
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Don Passey,Rosa Bottino,Eric Sanchezcomputable/non computable, easy/hard) is illustrated by several examples. The last part of this paper is devoted to a formal theory of medians and a new possibility result is obtained for social welfare functions.
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Alberto Pepe,Joan Lasenby,Pablo Chacón be viewed essentially as a problem on inverses. Finally we derive a variety of results about inverses of sign stable matrices and use these to obtain information about the properties of corresponding convergent matrices.
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Empowering Open and Collaborative Governanceenzyme cut sites. It is shown that the simplest such problem is in the class of NP complete problems, and a simulated annealing algorithm for restriction mapping is studied. Under a simple probability model, the mapping problem is shown to have an exponentially increasing number of solutions.
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Applications of Combinatorics and Graph Theory to the Biological and Social Sciences: Seven Fundamer niche overlap graphs; qualitative stability; balanced signed graphs; social welfare functions; and semiorders. For each idea, some basic results are presented, some recent results are given, and some open problems are mentioned.
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Social Welfare and Aggregation Procedures: Combinatorial and Algorithmic Aspects,computable/non computable, easy/hard) is illustrated by several examples. The last part of this paper is devoted to a formal theory of medians and a new possibility result is obtained for social welfare functions.
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Qualitatively Stable Matrices and Convergent Matrices, be viewed essentially as a problem on inverses. Finally we derive a variety of results about inverses of sign stable matrices and use these to obtain information about the properties of corresponding convergent matrices.
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Some Mathematics for DNA Restriction Mapping,enzyme cut sites. It is shown that the simplest such problem is in the class of NP complete problems, and a simulated annealing algorithm for restriction mapping is studied. Under a simple probability model, the mapping problem is shown to have an exponentially increasing number of solutions.
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