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Set operads in combinatorics and computer science [electronic resource]

Set operads in combinatorics and computer science [electronic resource]

자료유형
E-Book(소장)
개인저자
Méndez, Miguel A.
서명 / 저자사항
Set operads in combinatorics and computer science [electronic resource] / Miguel A. Méndez.
발행사항
Cham :   Springer International Publishing :   Imprint: Springer,   2015.  
형태사항
1 online resource (xv, 129 p.) : ill. (some col.).
총서사항
SpringerBriefs in mathematics,2191-8198
ISBN
9783319117133
요약
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.
일반주기
Title from e-Book title page.  
내용주기
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.
서지주기
Includes bibliographical references.
이용가능한 다른형태자료
Issued also as a book.  
일반주제명
Mathematics. Operads. Decomposition method. Computer science --Mathematics. Categories (Mathematics).
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100 1 ▼a Méndez, Miguel A.
245 1 0 ▼a Set operads in combinatorics and computer science ▼h [electronic resource] / ▼c Miguel A. Méndez.
260 ▼a Cham : ▼b Springer International Publishing : ▼b Imprint: Springer, ▼c 2015.
300 ▼a 1 online resource (xv, 129 p.) : ▼b ill. (some col.).
490 1 ▼a SpringerBriefs in mathematics, ▼x 2191-8198
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references.
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.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Mathematics.
650 0 ▼a Operads.
650 0 ▼a Decomposition method.
650 0 ▼a Computer science ▼x Mathematics.
650 0 ▼a Categories (Mathematics).
830 0 ▼a SpringerBriefs in mathematics.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-3-319-11713-3
945 ▼a KLPA
991 ▼a E-Book(소장)

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