Titlebook: Combinatorial Theory; Martin Aigner Book 1979 Springer-Verlag New York Inc. 1979 Combinatorics.Counting.Finite.Lattice.Permutation.algebra

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Combinatorial Order Theory, properties present in any poset, such as chains, antichains, matchings, etc. Typical problems to be considered are the determination of the minimal number of chains into which a finite poset can be decomposed or the existence of a matching between the points and copoints of a ranked poset. In fact,

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Polina V. Stognii,Nikolay I. KhokhlovIt seems convenient to list at the outset a few items that will be used throughout the book.

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Preliminaries,It seems convenient to list at the outset a few items that will be used throughout the book.

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Combinatorial Theory978-1-4615-6666-3Series ISSN 0072-7830 Series E-ISSN 2196-9701

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https://doi.org/10.1007/978-3-031-22580-2ds: Linear matroids, binary and regular matroids, graphic and transversal matroids. The emphasis lies here on the characterization of these matroids and on applications to concrete combinatorial problems.

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Incidence Functions,ions and inversion formulae in an arbitrary poset. Our method of study will be to associate with the poset . an algebraic object called the incidence algebra . (.), and to investigate its structure and subobjects.

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