منابع مشابه
Loop Erased Walks and Uniform Spanning Trees
The uniform spanning tree has had a fruitful history in probability theory. Most notably, it was the study of the scaling limit of the UST that led Oded Schramm [Sch00] to introduce the SLE process, work which has revolutionised the study of two dimensional models in statistical physics. But in addition, the UST relates in an intrinsic fashion with another model, the loop erased random walk (or...
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We study spanning trees on Sierpiński graphs (i.e., finite approximations to the Sierpiński gasket) that are chosen uniformly at random. We construct a joint probability space for uniform spanning trees on every finite Sierpiński graph and show that this construction gives rise to a multi-type Galton-Watson tree. We derive a number of structural results, for instance on the degree distribution....
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We study the construction of the minimum cost spanning geometric graph of a given rooted point set P where each point of P is connected to the root by a path that satisfies a given property. We focus on two properties, namely the monotonicity w.r.t. a single direction (y-monotonicity) and the monotonicity w.r.t. a single pair of orthogonal directions (xy-monotonicity). We propose algorithms tha...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1986
ISSN: 0166-218X
DOI: 10.1016/0166-218x(86)90041-7