Summary: We consider the problem of sampling a uniformly random spanning tree of a graph. This is a classic algorithmic problem for which several exact and approximate algorithms are known. Random spanning trees have several connections to Laplacian matrices; this leads to algorithms based on fast ...
Trees partition rainfall into throughfall and stemflow, resulting in a spatial distribution of nutrient and water fluxes reaching the soil centred on the t... MS Johnson,J Lehmann - 《ãcoscience》 被引量: 264发表: 2006年 Using 10Be and 26Al to determine sediment generation rates and ...
The computation tree is used to output all the spanning trees by listing the relative differences between spanning trees rather than the entire spanning trees themselves. For the undirected case, both the construction and the listing of the trees are shown to require O ( N + V + E ) time ...
A method for generating spanning trees (ST 1 ,ST 2 ,ST 3 ) in a network (NW 2 ). The network has nodes (A-K) interconnected by links (L 2 ) and the trees are used for handling link and node failures. For handling link failures there is for each link (L 2 ) at least one ...
Generating trees lead to a fast computation of enumeration sequences (sometimes, to explicit formulae as well) and provide efficient random generation algorithms. We investigate the links between the structural properties of the rewriting rules defining such trees and the rationality, algebraicity, or...
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1, we encode features from the data using the VAE and replay the features to the generator as a form of non-random inputs. In Fig. 2, we show that the replay mechanism is built in the critic by incorporating the VAE. When real data is passed through the critic, the VAE encodes the...
As the number of random points used in generating the sample points f(xi) increases, the value of the estimate ƒ will converge toward the actual value of the integral ƒ. Generally, the distribution of estimate values that will be generated for various values of “N,” that is, for ...
Xu, "Generating random spanning trees via fast matrix multiplication," in LATIN 2016: Theoretical Informatics, vol. 9644, 2016, pp. 522- 535.N. J. A. Harvey and K. Xu, "Generating random spanning trees via fast matrix multiplication," in LATIN 2016: Theoretical Informatics, vol. 9644, ...
The bridges, moreover, utilize the path indication value of received STP control messages to compute the spanning trees. The path indication values are preferably derived from the sum of Bridge Identifiers (IDs) corresponding to the bridges through which the STP control message has passed from the...