Liu San
Abstract
The definitions of the closure operator and closed set of a poset matroid are given at first,followed by the discussion of their relative properties.Some results of matroid theory are generalized.Meanwhile,the differences and connections between poset matroids and matroids are revealed about closure operators and closed sets.
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The definitions of the closure operator and closed set of a poset matroid are given at first,followed by the discussion of their relative properties.Some results of matroid theory are generalized.Meanwhile,the differences and connections between poset matroids and matroids are revealed about closure operators and closed sets.
Key concepts: Matroid, Partially ordered set, Graphic matroid, Closure (psychology), Closure operator, Mathematics, Matroid partitioning, Combinatorics