Advances in Interdisciplinary Applied Discrete Mathematics
In the past 50 years, discrete mathematics has developed as a far-reaching and popular language for modeling fundamental problems in computer science, biology, sociology, operations research, economics, engineering, etc. The same model may appear in different guises, or a variety of models may have enough similarities such that same ideas and techniques can be applied in diverse applications.
This book focuses on fields such as consensus and voting theory, clustering, location theory, mathematical biology, and optimization that have seen an upsurge of new and exciting works over the past two decades using discrete models in modern applications. Featuring survey articles written by experts in these fields, the articles emphasize the interconnectedness of the mathematical models and techniques used in various areas, and elucidate the possibilities for future interdisciplinary research. Additionally, this book discusses recent advances in the fields, highlighting the approach of cross-fertilization of ideas across disciplines.
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Chapter 1 Contributions of FR McMorris to Character Compatibility Analysis
Chapter 2 Families of Relational Statistics for 2 x 2 Tables
Chapter 3 Applications of Spanning Subgraphs of Intersection Graphs
Chapter 4 Axiomatic Characterization of Location Functions
Chapter 5 Median Graphs A Structure Theory
Chapter 6 Generalized Centrality in Trees
Chapter 7 Consensus Centered at Majority Rule
Chapter 8 Centrality Measures in Trees
Chapter 9 The Port Reopening Scheduling Problem
Chapter 10 Reexamining the Complexities in Consensus Theory
Chapter 11 The Contributions of FR McMorris to Discrete Mathematics and its Applications