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Nonsymmetric Operads in Combinatorics / by Samuele Giraudo.
- Format:
- Book
- Author/Creator:
- Giraudo, Samuele, author.
- Series:
- Computer Science (Springer-11645)
- Language:
- English
- Subjects (All):
- Logic, Symbolic and mathematical.
- Computer science--Mathematics.
- Computer science.
- Mathematical Logic and Formal Languages.
- Math Applications in Computer Science.
- Discrete Mathematics in Computer Science.
- Local Subjects:
- Mathematical Logic and Formal Languages.
- Math Applications in Computer Science.
- Discrete Mathematics in Computer Science.
- Physical Description:
- 1 online resource (IX, 172 pages) : 161 illustrations, 157 illustrations in color
- Edition:
- First edition 2018.
- Contained In:
- Springer eBooks
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2018.
- System Details:
- text file PDF
- Summary:
- Operads are algebraic devices offering a formalization of the concept of operations with several inputs and one output. Such operations can be naturally composed to form more complex ones. Coming historically from algebraic topology, operads intervene now as important objects in computer science and in combinatorics. A lot of operads involving combinatorial objects highlight some of their properties and allow to discover new ones. This book portrays the main elements of this theory under a combinatorial point of view and exposes the links it maintains with computer science and combinatorics. Examples of operads appearing in combinatorics are studied. The modern treatment of operads consisting in considering the space of formal power series associated with an operad is developed. Enrichments of nonsymmetric operads as colored, cyclic, and symmetric operads are reviewed.
- Contents:
- Combinatorial Structures
- Trees and rewrite rules
- Combinatorial operands
- Main combinatorial operands
- Constructions, applications and generalizations.
- Other Format:
- Printed edition:
- ISBN:
- 978-3-030-02074-3
- 9783030020743
- 9783030020736
- 9783030020750
- Access Restriction:
- Restricted for use by site license.
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