Nonsymmetric Operads in Combinatorics

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Giraudo, Samuele (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
Έκδοση:1st ed. 2018.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Nonsymmetric Operads in Combinatorics  |h [electronic resource] /  |c by Samuele Giraudo. 
250 |a 1st ed. 2018. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2018. 
300 |a IX, 172 p. 161 illus., 157 illus. in color.  |b online resource. 
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505 0 |a Combinatorial Structures -- Trees and rewrite rules -- Combinatorial operands -- Main combinatorial operands -- Constructions, applications and generalizations. 
520 |a 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. 
650 0 |a Mathematical logic. 
650 0 |a Computer science-Mathematics. 
650 1 4 |a Mathematical Logic and Formal Languages.  |0 http://scigraph.springernature.com/things/product-market-codes/I16048 
650 2 4 |a Math Applications in Computer Science.  |0 http://scigraph.springernature.com/things/product-market-codes/I17044 
650 2 4 |a Discrete Mathematics in Computer Science.  |0 http://scigraph.springernature.com/things/product-market-codes/I17028 
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950 |a Computer Science (Springer-11645)