Nonsymmetric Operads in Combinatorics [electronic resource] / by Samuele Giraudo.

Por: Giraudo, Samuele [author.]Colaborador(es): SpringerLink (Online service)Tipo de material: TextoTextoEditor: Cham : Springer International Publishing : Imprint: Springer, 2018Edición: 1st ed. 2018Descripción: IX, 172 p. 161 illus., 157 illus. in color. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783030020743Tema(s): Mathematical logic | Computer science-Mathematics | Mathematical Logic and Formal Languages | Math Applications in Computer Science | Discrete Mathematics in Computer ScienceFormatos físicos adicionales: Printed edition:: Sin título; Printed edition:: Sin títuloClasificación CDD: 005.131 Clasificación LoC:QA8.9-10.3Recursos en línea: Libro electrónicoTexto
Contenidos:
Combinatorial Structures -- Trees and rewrite rules -- Combinatorial operands -- Main combinatorial operands -- Constructions, applications and generalizations.
En: Springer Nature eBookResumen: 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.
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Combinatorial Structures -- Trees and rewrite rules -- Combinatorial operands -- Main combinatorial operands -- Constructions, applications and generalizations.

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.

UABC ; Temporal ; 01/01/2021-12/31/2023.

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