In this paper we study constant mean curvature compact surfaces with two Jordan curves in parallel planes as boundary and we investigate the point at which the surface inherits the symmetries of its boundary.
We introduce an inductively defined sequence of directed graphs and prove that the number of edges added at step k is equal to the kth Catalan number. Furthermore, we establish a bijection between the set of edges adjoined at step k and the set of planar rooted trees with k edges.
This paper is devoted to the study of the symmetric cone linear complemen-tarity problem (SCLCP). In this context, our aim is to characterize the class Q b in terms of larger classes, such as Q and R0. For this, we introduce the class F and García's transformations. We studied them for concrete particular instances (such as second-order and semidefinite… (More)