Set Operads in Combinatorics and Computer Science

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Applied
Cover of the book Set Operads in Combinatorics and Computer Science by Miguel A. Méndez, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Miguel A. Méndez ISBN: 9783319117133
Publisher: Springer International Publishing Publication: January 8, 2015
Imprint: Springer Language: English
Author: Miguel A. Méndez
ISBN: 9783319117133
Publisher: Springer International Publishing
Publication: January 8, 2015
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Designing Value-Creating Supply Chain Networks by Miguel A. Méndez
Cover of the book Pottery, Livelihoods, and Landscapes by Miguel A. Méndez
Cover of the book Husserl, Cassirer, Schlick by Miguel A. Méndez
Cover of the book Violent Reverberations by Miguel A. Méndez
Cover of the book Curriculum in International Contexts by Miguel A. Méndez
Cover of the book The EU's Common Foreign and Security Policy in Germany and the UK by Miguel A. Méndez
Cover of the book Information and Interaction by Miguel A. Méndez
Cover of the book Tocqueville and Beaumont by Miguel A. Méndez
Cover of the book Components and Services for IoT Platforms by Miguel A. Méndez
Cover of the book Jonathan Dean by Miguel A. Méndez
Cover of the book Bacilli and Agrobiotechnology by Miguel A. Méndez
Cover of the book Free and Open Source Software (FOSS) and other Alternative License Models by Miguel A. Méndez
Cover of the book Selenium by Miguel A. Méndez
Cover of the book On the Inside of a Marble by Miguel A. Méndez
Cover of the book Brand Building and Marketing in Key Emerging Markets by Miguel A. Méndez
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy