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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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期刊全称Applications of Combinatorics and Graph Theory to the Biological and Social Sciences
影响因子2023Fred Roberts
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学科分类The IMA Volumes in Mathematics and its Applications
图书封面Titlebook: Applications of Combinatorics and Graph Theory to the Biological and Social Sciences;  Fred Roberts Conference proceedings 1989 Springer-Ve
影响因子This IMA Volume in Mathematics and its Applications Applications of Combinatorics and Graph Theory to the Biological and Social Sciences is 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 stimulating year­ long program. We especially thank the Workshop Organizers, Joel Cohen and Fred Roberts, for organizing a workshop which brought together many of the major figures in a variety of research fields connected with the application of combinatorial ideas to the social and biological sciences. A vner Friedman Willard Miller APPLICATIONS OF COMBINATORICS AND GRAPH THEORY TO THE BIOLOGICAL AND SOCIAL SCIENCES: SEVEN FUNDAMENTAL IDEAS FRED S. RoBERTS* Abstract. To set the stage for the other papers in this volume, seven fundamental concepts which arise in the applications of combinatorics and graph theory in the biological and social sciences are described. These ideas are: RNA chains as "words" in a 4 letter alphabet; interval graphs; competition grap
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https://doi.org/10.1007/978-3-031-55501-5t theory are involved in the work being surveyed: (1) axioms for the qualitative relation that are necessary and sufficient, or at least sufficient, for unique represent ability; (2) the structure of sets of unique solutions. The latter concern leads to combinatorial and number-theoretic problems in
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0940-6573 aph theory in the biological and social sciences are described. These ideas are: RNA chains as "words" in a 4 letter alphabet; interval graphs; competition grap978-1-4684-6383-5978-1-4684-6381-1Series ISSN 0940-6573 Series E-ISSN 2198-3224
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Conference proceedings 1989ct. To set the stage for the other papers in this volume, seven fundamental concepts which arise in the applications of combinatorics and graph theory in the biological and social sciences are described. These ideas are: RNA chains as "words" in a 4 letter alphabet; interval graphs; competition grap
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Uniqueness in Finite Measurement,t theory are involved in the work being surveyed: (1) axioms for the qualitative relation that are necessary and sufficient, or at least sufficient, for unique represent ability; (2) the structure of sets of unique solutions. The latter concern leads to combinatorial and number-theoretic problems in
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Conceptual Scaling,f conceptual measurement are discussed in focussing on the question of measurability by standardized scales of ordinal type (section 3 and 4). These ideas are applied to the scaling of data contexts to derive conceptual hierarchies for the data (section 5). Finally, these scalings are used to introd
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Lecture Notes in Computer Sciencend 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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