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A GNERAL BIJECTIVE ALGORITHM FOR INCREASING TREES 被引量:1

A GENERAL BIJECTIVE ALGORITHM FOR INCREASING TREES
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摘要 The main concern of this paper is with a bijective approach to various classes ofincreasing trees. We discover an increasing tree counterpart of the decomposition algorithmfor Schroder trees. This bijection has probably reached its full generality for decomposingincreasing trees. As a special case of our algorithm, we provide a solution to a problemconcerning the enumeration of plane trees by the net number of inversions. The main concern of this paper is with a bijective approach to various classes ofincreasing trees. We discover an increasing tree counterpart of the decomposition algorithmfor Schroder trees. This bijection has probably reached its full generality for decomposingincreasing trees. As a special case of our algorithm, we provide a solution to a problemconcerning the enumeration of plane trees by the net number of inversions.
出处 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 1999年第3期193-203,共11页
关键词 INCREASING trees Schroder trees BIJECTIONS Increasing trees, Schroder trees, bijections
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