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 upperlevel 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 
