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广义Dyck路径加性参数的计数(英文)

Counting general Dyck paths with respect to additive parameters
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摘要 考虑广义Dyck路径中半长、步数以及峰数、返回步数等可加性参数的计数问题,给出了相应的计数公式,推广了Deutsch和Coker等人的工作. In this paper,we consider the enumeration of general Dyck paths according to semilength,number of steps and some other additive parameters,such as number of peaks and number of return steps.The counting formulas for each case are given.Our results generalize the previous work of Deutsch and Coker.
出处 《徐州师范大学学报(自然科学版)》 CAS 2009年第1期20-24,83,共6页 Journal of Xuzhou Normal University(Natural Science Edition)
基金 Research supported by the National Natural Science Foundation of China(10771100) the Higher Schools Natural Science Basic Research Foundation of Jiangsu Province(06KJD110179)
关键词 Dyck路径 广义Dyck路径 加性参数 计数 Dyck path general Dyck path additive parameter counting
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参考文献9

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