Applications of combinatorics and graph theory to the biological and social sciences

Bibliographic Information

Applications of combinatorics and graph theory to the biological and social sciences

Fred Roberts, editor

(The IMA volumes in mathematics and its applications, v. 17)

Springer-Verlag, c1989

  • : us
  • : gw

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Note

"Based on the proceedings of a workshop which was an integral part of the 1987-88 IMA program on applied combinatorics"--Foreword

Includes bibliographical references

Description and Table of Contents

Description

This volume is the Proceedings of a Workshop on the applications of Combinatorics and graph theory in the biological and social sciences, held at the Institute for Mathematics and its Applications in January 1988. Combinatorial and graph-theoretical methods are increasingly important in the biological and social sciences. The Workshop emphasized mathematical techniques and open problems arising in such fields as ecology, genetics, enzyme kinetics, economics, political science, sociology, and psychology.

Table of Contents

  • Contents: Applications of Combinatorics and Graph Theory to the Biological and Social Sciences: Seven Fundamental Ideas
  • Social Welfare and Aggregation Procedures: Combinatorial and Algorithmic Aspects
  • Consecutive One's Properties for Matrices and Graphs Including Variable Diagonal Entries
  • Probabilistic Knowledge Spaces: A Review
  • Uniqueness in Finite Measurement
  • Conceptual Scaling
  • The Micro-Macro Connection: Exact Structure and Process
  • Sign-Patterns and Stability
  • Food Webs, Competition Graphs, Competition-Common Enemy Graphs and Niche Graphs
  • Qualitatively Stable Matrices and Convergent Matrices
  • Tree Structures in Immunology
  • Meaningless Statements, Matching Experiments, and Colored Digraphs
  • Combinatorial Aspects of Enzyme Kinetics
  • Spatial Modes of Power and Voting Outcomes
  • Some Mathematics for DNA Restriction Mapping.

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