We introduce a potential of multipartite entanglement for a system of n qubits, as the average over all balanced bipartitions of a bipartite entanglement measure, the purity. We study in detail its expression and look for its minimizers, the maximally multipartite entangled states. They have a bipartite entanglement that does not depend on the bipartition and is maximal for all possible biparti...

A novel web image annotation method by candidate annotations clustering and parallel graph bipartition is proposed in this paper. Firstly, surrounding texts and other textual information in the hosting pages are extracted as the candidate annotations. For Web images, the candidate annotation sets of which are usually fairly large. Therefore, we cluster candidate annotations to reduce computatio...

Background: Overweight and obesity were estimated to cause 3.4 million deaths, 3.9% of years life lost, 3.8% disability-adjusted life-years (DALYs) worldwide. Bariatric surgery is the most effective modality for long-term weight loss resolving associated comorbidities. However, controversies exist regarding ideal metabolic procedure. This allowed continuous search new techniques.Aim work: evalu...

We study a variant of intersection representations with unit balls: unit disks in the plane and unit intervals on the line. Given a planar graph and a bipartition of the edges of the graph into near and far edges, the goal is to represent the vertices of the graph by unit-size balls so that the balls for two adjacent vertices intersect if and only if the corresponding edge is near. We consider ...

Frontofacionasal dysplasia or dysostosis (Mendelian Inheritance in Man 229400) is composed of cranial, ophthalmic, nasal, and lip and palate deformities. It is a rare and separate entity because it contains none of the extracranial defects seen in frontonasal dysplasia and related syndromes. Four patients with frontofacionasal dysplasia were treated in Hacettepe University between 2000 and 2007...

We consider the problem of counting the interior edge crossings when a bipartite graph G = (V, E) with node set V and edge set E is drawn such that the nodes of the two shores of the bipartition are drawn as distinct points on two parallel lines and the edges as straight line segments. The efficient solution of this problem is important in layered graph drawing. Our main observation is that it ...

A m,n -bipartite graph is a bipartite graph such that one bipartition has m vertices and the other bipartition has n vertices. The tree dumbbell D n, a, b consists of the path Pn−a−b together with a independent vertices adjacent to one pendent vertex of Pn−a−b and b independent vertices adjacent to the other pendent vertex of Pn−a−b. In this paper, firstly, we show that, among m,n bipartite gra...

We study the symmetry resolution of entanglement entropy an interval in two-dimensional conformal field theories (CFTs), by relating bipartition to geometry annulus with boundary conditions. In presence extended symmetries such as Kac-Moody type current algebrae, is possible only if conditions on preserve part group, i.e. factorization map associated spatial compatible question. The partition f...