Applications of Combinatorics and Graph Theory to the Biological and Social Sciences

Abstract

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.