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Given a graph G with weight function w and an acyclic edge subset E', the partial inverse spanning tree problem on (G, w; E') is to find a new weight function w* so that E' can be extended to a maximu...
Conformal invariance of critical lattice models in two-dimensional has been vigorously studied for decades. The first example where the conformal invariance was rigorously verified was the planar unif...
We analyze the evolving price °uctuations by using ultrametric distance of minimally spanning ˉnancial tree of stocks traded in Jakarta Stock Exchange 2000-2004. Ultrametricity is derived from transfo...
minimum spanning tree (MST) of a connected, undirected and weighted network is a tree of that network consisting of all its nodes and the sum of weights of all its edges is minimum among all such poss...
We study semi-infinite paths of the radial spanning tree (RST) of a Poisson point process in the plane. We first show that the expectation of the number of intersection points between semi-infinite pa...
Based on the temporal distributions of clustered segments in the time series of the ten Dow Jones US (DJUS) economic sector indices, we calculated their cross correlations over the period February 20...
We present a method for hierarchical image segmentation and feature extraction. Thismethod builds upon the combination of the detection of image spectral discontinuities using Canny edge detection and...
Based on the graphic theory and improved genetic algorithm,an improved genetic algorithm to search the minimum spanning trees is given . The algorithm uses binary code to represent the problem of mini...
We consider four cost allocation rules in minimum cost spanning tree problems. These rules were introduced by Bird (1976), Dutta and Kar (2004), Kar (2002), and Feltkamp, Tijs and Muto (1994), respec...
We empirically investigated the effects of market factors on the information flow created from N(N −1)/2 linkage relationships among stocks. We also examined the possibility of employing the mi...

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