getdoc9187. 175KB Jun 04 2011 12:04:41 AM
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Recall the standard “walk-around” bijection from full binary trees on 2 n edges to Dyck n -paths: a worm crawls counterclockwise around the tree starting just west of the root and
They find that there are planar directed acyclic graphs for which there is no straight-line upward RAC drawing, that determining whether such a drawing exists is NP-hard, and that
In section 3 we will give another application of the q-Taylor series in the field of the so–called integer-valued entire functions and give a first answer on a question asked by
Benjamini and Kesten (1995) introduced the problem whether ‘all words are seen in percolation on a graph G ’. The set-up is as follows. The resulting probability measure
Among various partition distributions (i.e., probability distributions on a set of integer partitions), we are concerned in this paper with partition structure, which was introduced
We will show that under different assumptions on the distribution of the state and the observation noise, the conditional chain (given the observations Y s which are not
For example when G = T 2 , the binary tree, one can by dividing the edges into properly chosen “families” construct a coupling without disagreement percolation even when p is
Several equivalent conditions are given showing their particular role influence on the connection between the sub-Gaussian estimates, parabolic and elliptic Harnack