Abstract
In this paper basic ideas about the partitions of non intersecting paths are introduced. Different partitions are associated by means of intersecting and non intersecting paths by using permutations and combinations. We also see the trails of various number of n-tuples of non intersecting curves connecting two groups of n vertices. This can be given by determinant methods. The aim of this paper will apply pfaflians to get non intersecting curves such that the end points of the curves are given in known domain.
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