國立虎尾科技大學 |

Set operads in combinatorics and computer science

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Set operads in combinatorics and computer science/ by Miguel A. Mendez.
作者:	Medez, Miguel A.
出版者:	Cham :Springer International Publishing : : 2015.,
面頁冊數:	xv, 129 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Operads. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-11713-3
ISBN:	9783319117133 (electronic bk.)

Set operads in combinatorics and computer science
Medez, Miguel A.

Set operads in combinatorics and computer science[electronic resource] /by Miguel A. Mendez. - Cham :Springer International Publishing :2015. - xv, 129 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

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.

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.

ISBN: 9783319117133 (electronic bk.)

Standard No.: 10.1007/978-3-319-11713-3doiSubjects--Topical Terms:

883749
Operads.

LC Class. No.: QA169

Dewey Class. No.: 512.62

Set operads in combinatorics and computer science
LDR:02206nam a2200337 a 4500 001 836141
003 DE-He213
005 20150903132038.0
006 m d
007 cr nn 008maaau
008 160421s2015 gw s 0 eng d
020 $a 9783319117133 (electronic bk.)
020 $a 9783319117126 (paper)
024 7 $a 10.1007/978-3-319-11713-3 $2 doi
035 $a 978-3-319-11713-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA169
072 7 $a PBKF $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a MAT037000 $2 bisacsh
082 0 4 $a 512.62 $2 23
090 $a QA169 $b .M488 2015
100 1 $a Medez, Miguel A. $3 1065990
245 1 0 $a Set operads in combinatorics and computer science $h [electronic resource] / $c by Miguel A. Mendez.
260 $a Cham : $c 2015. $b Springer International Publishing : $b Imprint: Springer,
300 $a xv, 129 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
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 Operads. $3 883749
650 0 $a Decomposition method. $3 672388
650 0 $a Computer science $x Mathematics. $3 528496
650 0 $a Categories (Mathematics) $3 580337
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Special Functions. $3 672152
650 2 4 $a Complex Systems. $3 888664
650 2 4 $a Operator Theory. $3 672127
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematics. $3 883715
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-11713-3
950 $a Mathematics and Statistics (Springer-11649)