D. Jakubowski Wisner, B. Chang, H. Tso, C. Flowers, B. N. Joe, J. Lessing, J. Gibbs, K. Itakura, S. Hwang, and N. Hylton Radiology and Biomedical Imaging, University of California, San Francisco, San Francisco, CA, United States, School of Medicine, University of California, San Francisco, San Francisco, CA, United States, Surgery, University of California, San Francisco, San Francisco, CA, Uni...

Let G be a 2-connected graph on n vertices and let X C__ V(G). We say that G is X-cyclable if G has an X-cycle, i.e., a cycle containing all vertices of X. We denote by ~(X) the maximum number of pairwise nonadjacent vertices in the subgraph G[X] of G induced by X. If G[X] is not complete, we denote by ~(X) the minimum cardinality of a set of vertices of G separating two vertices of X. By 6(X) ...

A graph G of order n is called arbitrarily vertex decomposable if for each sequence (a1, . . . , ak) of positive integers such that a1+. . .+ak = n there exists a partition (V1, . . . , Vk) of the vertex set of G such that for each i ∈ {1, . . . , k}, Vi induces a connected subgraph of G on ai vertices. D. Barth and H. Fournier showed that if a tree T is arbitrarily vertex decomposable, then T ...

This study examines shareholder risk and rates of return in union and nonunion companies in 1973-87. Shareholder risk declined with the extent of union coverage in the 1970s, and returns were lower among highly unionized companies than among other companies during the late 1970s and early 1980s. Unionnonunion differences in risk were small and insignificant by the mid-1980s, however, and there ...

Conformal mapping has been a familiar tool of science and engineering for generations. The methods of numerical mapping are usually classified into those which construct the map from standard domain such as the unit disk onto the ‘problem domain’, and those which construct the map in the reverse direction. We treat numerical conformal mapping from the unit disk onto the Jordan regions as the pr...

In this work we study the problem of reconstructing an image from a perceptual segmentation based on a geometric classification of its points using non-linear curvature filters. We give a mathematical proof that an image can be reconstructed from the regions of non-zero gaussian curvatures. This result provides the theoretical background for a new theory of non-linear two dimensional signal pro...

Using an analogue of the Robinson-Schensted-Knuth (RSK) algorithm for semi-skyline augmented fillings, due to Sarah Mason, we exhibit expansions of non-symmetric Cauchy kernels ∏ (i,j)∈η(1 − xiyj) −1, where the product is over all cell-coordinates (i, j) of the stair-type partition shape η, consisting of the cells in a NW-SE diagonal of a rectangle diagram and below it, containing the biggest s...