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Titlebook: Algorithms and Complexity; 5th Italian Conferen Rossella Petreschi,Giuseppe Persiano,Riccardo Silv Conference proceedings 2003 Springer-Ver

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Generating All Forest Extensions of a Partially Ordered Setally ordered set is a . when the set of ancestors of any given element forms a chain. We describe an algorithm for generating the complete set of forest extensions of an order .. The algorithm requires .(..) time between the generation of two consecutive forests. The initialization of the algorithm requires .(.|.|) time.
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https://doi.org/10.1007/3-540-44849-7algorithms; combinatorial optimization; combinatorics; complexity; complexity theory; computational geome
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978-3-540-40176-6Springer-Verlag Berlin Heidelberg 2003
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Lecture Notes in Computer Sciencehttp://image.papertrans.cn/a/image/153105.jpg
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Ralph D. Lorenz,James R. ZimbelmanThe talk will provide an overview of problems and results concerning spanning trees with low maximum or average stretch and trees with low communication cost, in weighted or unweighted graphs and in metrics, and outline some techniques for dealing with these problems.
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On the Generation of Extensions of a Partially Ordered Set transitivity. The set . is called the ground set of ., while . is the relation set of it. There are many special orders. For example, when any two elements of . are related, the order is a chain. Similarly, we can define tree orders, forest orders and many others. An extension .′ of . is an order .
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