Advances in Interdisciplinary Applied Discrete Mathematics

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World Scientific, Sep 21, 2010 - Mathematics - 261 pages
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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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Contents

Introduction
1
Chapter 1 Contributions of FR McMorris to Character Compatibility Analysis
5
Chapter 2 Families of Relational Statistics for 2 x 2 Tables
25
Chapter 3 Applications of Spanning Subgraphs of Intersection Graphs
53
Chapter 4 Axiomatic Characterization of Location Functions
71
Chapter 5 Median Graphs A Structure Theory
93
Chapter 6 Generalized Centrality in Trees
127
Chapter 7 Consensus Centered at Majority Rule
149
Chapter 8 Centrality Measures in Trees
167
Chapter 9 The Port Reopening Scheduling Problem
199
Chapter 10 Reexamining the Complexities in Consensus Theory
211
Chapter 11 The Contributions of FR McMorris to Discrete Mathematics and its Applications
225
Author Index
243
Subject Index
249
Symbol Index
257
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