Set operads in combinatorics and computer science [electronic resource] / Miguel A. Méndez.
Méndez, Miguel A., author.
2015
QA169
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Title Set operads in combinatorics and computer science [electronic resource] / Miguel A. Méndez.
Author Méndez, Miguel A., author.
ISBN 9783319117133 electronic book
3319117130 electronic book
9783319117126
DOI https://doi.org/10.1007/978-3-319-11713-3
Published Cham : Springer, 2015.
Copyright ©2015
Language English
Description 1 online resource : illustrations.
Item Number 10.1007/978-3-319-11713-3 doi
Call Number QA169
Dewey Decimal Classification 512.62
Summary 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.
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Series SpringerBriefs in mathematics.
Available in Other Form Set operads and decomposition theory
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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.

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