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楼主: 人工合成
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Finanzinnovationen am Finanzplatz ParisIn this chapter we study the class of local poset greedoids. Their name is motivated by the fact that their restrictions to feasible sets are poset antimatroids. These greedoids have the interval property. Local poset greedoids cover a broad range of examples: directed and undirected branchings, poset antimatroids and polymatroid greedoids.
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,Abstract Convexity — Antimatroids,If we abstract the combinatorial properties of convexity in a manner similar to the abstraction of linear dependence in matroid theory, we obtain antimatroids. Interest in these structures has its sources in different fields of mathematics.
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Structural Properties,We would like to develop the basic machinery of greedoid theory. Some basic notions like rank, closure and (to a certain extent) minors can be introduced by extending the appropriate notions from matroids, while some others will be more specific for greedoids.
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Further Structural Properties,We continue to develop some basic tools for the study of the structure of greedoids. We relate greedoids to lattices and extend the notion of connectivity to greedoids.
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Local Poset Greedoids,In this chapter we study the class of local poset greedoids. Their name is motivated by the fact that their restrictions to feasible sets are poset antimatroids. These greedoids have the interval property. Local poset greedoids cover a broad range of examples: directed and undirected branchings, poset antimatroids and polymatroid greedoids.
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