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Applications of Combinatorics and Graph Theory to the Biological and Social Sciences Softcover reprint of the original 1st ed. 1989 [Pehme köide]

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  • Formaat: Paperback / softback, 345 pages, kõrgus x laius: 235x155 mm, kaal: 540 g, IX, 345 p., 1 Paperback / softback
  • Sari: The IMA Volumes in Mathematics and its Applications 17
  • Ilmumisaeg: 25-Feb-2012
  • Kirjastus: Springer-Verlag New York Inc.
  • ISBN-10: 1468463837
  • ISBN-13: 9781468463835
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  • Formaat: Paperback / softback, 345 pages, kõrgus x laius: 235x155 mm, kaal: 540 g, IX, 345 p., 1 Paperback / softback
  • Sari: The IMA Volumes in Mathematics and its Applications 17
  • Ilmumisaeg: 25-Feb-2012
  • Kirjastus: Springer-Verlag New York Inc.
  • ISBN-10: 1468463837
  • ISBN-13: 9781468463835
Teised raamatud teemal:
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 graphs or 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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Springer Book Archives
Foreword ix
Applications of Combinatorics and Graph Theory to the Biological and Social Sciences: Seven Fundamental Ideas
1(38)
Fred S. Roberts
Social Welfare and Aggregation Procedures: Combinatorial and Algorithmic Aspects
39(36)
Jean-Pierre Barthelemy
Consecutive One's Properties for Matrices and Graphs Including Variable Diagonal Entries
75(20)
Margaret B. Cozzens
N.V.R. Mahadev
Probabilistic Knowledge Spaces: A Review
95(8)
Jean-Claude Falmagne
Uniqueness in Finite Measurement
103(36)
Peter C. Fishburn
Fred S. Roberts
Conceptual Scaling
139(30)
Bernhard Ganter
Rudolf Wille
The Micro-Macro Connection: Exact Structure and Process
169(34)
Eugene C. Johnsen
Sign-Patterns and Stability
203(18)
Victor Klee
Food Webs, Competition Graphs, Competition-Common Enemy Graphs and Niche Graphs
221(24)
J. Richard Lundgren
Qualitatively Stable Matrices and Convergent Matrices
245(14)
John S. Maybee
Tree Structures in Immunology
259(18)
J.K. Percus
Meaningless Statements, Matching Experiments, and Colored Digraphs (Applications of Graph Theory and Combinatorics to the Theory of Measurement
277(18)
Fred S. Roberts
Combinatorial Aspects of Enzyme Kinetics
295(20)
Peter H. Sellers
Spatial Models of Power and Voting Outcomes
315(22)
Philip D. Straffin, Jr.
Some Mathematics for DNA Restriction Mapping
337
Michael S. Waterman