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.
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Taschenbuch. Zustand: Neu. Neuware -This monograph has two main objectives. The first one is to give a self-containedexposition of the relevant facts about set operads, in the contextof combinatorial species and its operations. This approach has various advantages:one of them is that the definition of combinatorial operations onspecies, product, sum, substitution and derivative, are simple and natural.They were designed as the set theoretical counterparts of the homonym operationson exponential generating functions, giving an immediate insight on thecombinatorial meaning of them. The second objective is more ambitious. Before formulating it, authorspresenta brief historic account on the sources of decomposition theory. For more thanforty years decompositions of discrete structures have been studied in differentbranches of discrete mathematics: combinatorial optimization, networkand graph theory, switching design or boolean functions, simple multi-persongames and clutters, etc.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 148 pp. Englisch. Bestandsnummer des Verkäufers 9783319117126
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 148 pp. Englisch. Bestandsnummer des Verkäufers 9783319117126
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