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Set Operads in Combinatorics and Computer Science
This monograph has two main objectives. The first one is to give a self-contained exposition of the relevant facts about set operads, in the context of combinatorial species and its operations. This approach has various advantages: one of them is that the definition of combinatorial operations on sp...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Edición: | 1st ed. 2015. |
| Colección: | SpringerBriefs in Mathematics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-319-11713-3 | ||
| 003 | DE-He213 | ||
| 005 | 20220112151731.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 150108s2015 sz | s |||| 0|eng d | ||
| 020 | |a 9783319117133 |9 978-3-319-11713-3 | ||
| 024 | 7 | |a 10.1007/978-3-319-11713-3 |2 doi | |
| 050 | 4 | |a QA351 | |
| 072 | 7 | |a PBKF |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a PBKF |2 thema | |
| 082 | 0 | 4 | |a 515.5 |2 23 |
| 100 | 1 | |a Méndez, Miguel A. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Set Operads in Combinatorics and Computer Science |h [electronic resource] / |c by Miguel A. Méndez. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2015. | |
| 300 | |a XV, 129 p. 62 illus., 43 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a SpringerBriefs in Mathematics, |x 2191-8201 ; |v 0 | |
| 505 | 0 | |a Introduction -- Preliminaries on Species and Set Operads -- Operations on Species and Set Operads -- Decomposition Theory -- Rigid Operads -- Posets from Cancellative Operads and Koszul Duality -- Appendix. | |
| 520 | |a This monograph has two main objectives. The first one is to give a self-contained exposition of the relevant facts about set operads, in the context of combinatorial species and its operations. This approach has various advantages: one of them is that the definition of combinatorial operations on species, product, sum, substitution and derivative, are simple and natural. They were designed as the set theoretical counterparts of the homonym operations on exponential generating functions, giving an immediate insight on the combinatorial meaning of them. The second objective is more ambitious. Before formulating it, authors present a brief historic account on the sources of decomposition theory. For more than forty years decompositions of discrete structures have been studied in different branches of discrete mathematics: combinatorial optimization, network and graph theory, switching design or boolean functions, simple multi-person games and clutters, etc. | ||
| 650 | 0 | |a Special functions. | |
| 650 | 0 | |a System theory. | |
| 650 | 0 | |a Operator theory. | |
| 650 | 1 | 4 | |a Special Functions. |
| 650 | 2 | 4 | |a Complex Systems. |
| 650 | 2 | 4 | |a Operator Theory. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319117140 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319117126 |
| 830 | 0 | |a SpringerBriefs in Mathematics, |x 2191-8201 ; |v 0 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-11713-3 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||