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Oviatt Library Catalog

Author Brown, Jason I. (Ira), 1961- author.
Title Discrete structures and their interactions / Jason I. Brown.
Published Boca Raton, FL : CRC Press, [2013]
Book Cover
 Floor3  QA166.245 .B76 2013    IN LIBRARY
Description xvii, 200 pages : illustrations ; 25 cm.
Content Type text
Format volume
Series Discrete mathematics and its applications.
Bibliography Includes bibliographical references and index.
Summary "Discover the Connections between Different Structures and Fields Discrete Structures and Their Interactions highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes. It also explores their relationships to classical areas of mathematics, such as linear and multilinear algebra, analysis, probability, logic, and topology.The text introduces a number of discrete structures, such as hypergraphs, finite topologies, preorders, simplicial complexes, and order ideals of monomials, that most graduate students in combinatorics, and even some researchers in the field, seldom experience. The author explains how these structures have important applications in many areas inside and outside of combinatorics. He also discusses how to recognize valuable research connections through the structures.Intended for graduate and upper-level undergraduate students in mathematics who have taken an initial course in discrete mathematics or graph theory, this book shows how discrete structures offer new insights into the classical fields of mathematics. It illustrates how to use discrete structures to represent the salient features and discover the underlying combinatorial principles of seemingly unrelated areas of mathematics"-- Provided by publisher.
Subject Graph theory -- Data processing.
Combinatorial analysis.
Computer algorithms.
ISBN 9781466579415 (hardback)
1466579412 (hardback)
Standard # 40022551623
OCLC number 825750475