Abstract
Given a valid set X of interpolation points for Lagrange interpolation of degree d in n variables we study how many subsets of X can be chosen in order to obtain a valid set of interpolation points of degree d-1. This leads to an estimate of the number of Newton structures for X which, in turn, gives the number of different unisolvent sets that can be obtainend by the process of interwinning which is recalled in the text.
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