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Titlebook: Classic Papers in Combinatorics; Ira Gessel,Gian-Carlo Rota Book 19871st edition Birkhäuser Boston 1987 Acyclic orientations of graphs.Com

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Jean-Paul Fitoussi,Jacques Le CacheuxThe problem discussed in this paper was formulated by T. Harris as follows:.“Consider a rail network connecting two cities by way of a number of intermediate cities, where each link of the network has a number assigned to it representing its capacity. Assuming a steady state condition, find a maximal flow from one given city to the other.”
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Jean-Paul Fitoussi,Jacques Le CacheuxThe theorem to be proved in this note is a generalization of a well-known combinatorial theorem of P. Hall, [.].
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On the Abstract Properties of Linear Dependence1,Let C. , C. ,· · · ,C. be the columns of a matrix .. Any subset of these columns is either linearly independent or linearly dependent; the subsets thus fall into two classes. These classes are not arbitrary; for instance, the two following theorems must hold
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A Decomposition Theorem for Partially Ordered Sets,Otherwise . and . are .. A subset . of . is . if every two distinct elements of . are non-comparable. . is . if it contains two distinct elements which are comparable. A subset . of . is a . if every two of its elements are comparable.
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