TY  - BOOK
AU  - Brown,Jason I.
TI  - Discrete structures and their interactions 
T2  - Discrete mathematics and its applications
SN  - 9781466579415 (hb)
AV  - QA166.245 .B76 2013
U1  - 512.55 BRO/Dis 23
PY  - 2013///
CY  - Boca Raton
PB  - CRC Press
KW  - Graph theory
KW  - Data processing
KW  - Combinatorial analysis
KW  - Computer algorithms
KW  - COMPUTERS / Operating Systems / General
KW  - bisacsh
KW  - MATHEMATICS / Combinatorics
N1  - Includes bibliographical references and index
N2  - "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"--
ER  -