| Description |
1 online resource (xvii, 193 pages) : illustrations. |
| Series |
Discrete mathematics and its applications |
|
Discrete mathematics and its applications.
|
| Bibliography |
Includes bibliographical references (pages 185-193) and index. |
| Contents |
Introduction -- Discrete structures : a common framework -- Graphs and directed graphs -- Preorders and partial orders -- Hypergraphs -- Complexes and multicomplexes -- Research problems. |
| 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.
|
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Computer algorithms.
|
|
Algorithms.
|
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Analyse combinatoire. |
|
Algorithmes. |
|
algorithms. |
|
Algorithms |
|
Combinatorial analysis |
|
Computer algorithms |
|
Graph theory -- Data processing |
| Other Form: |
Print version: Brown, Jason I. (Ira), 1961- Discrete structures and their interactions. Boca Raton : CRC Press/Taylor & Francis Group, [2013] 9781466579415 (DLC) 2013014910 (OCoLC)825750475 |
| ISBN |
1466579412 |
|
9781466579415 |
|
9781466579422 (electronic bk.) |
|
1466579420 (electronic bk.) |
| Standard No. |
99975369874 |
|
40022551623 |
|
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