Consider the Maximum Weight Independent Set problem for rectangles: given a family of weighted axis-parallel rectangles in the plane, find a maximum-weight subset of non-overlapping rectangles. The problem is notoriously hard both in the approximation and in the parameterized setting. The best known polynomial-time approximation algorithms achieve super-constant approximation ratios [6, 9], eve...

Shrinking cities are widespread throughout the world despite the rapidly increasing global urban population. These cities are attempting to transition to sustainable trajectories to improve the health and well-being of urban residents, to build their capacity to adapt to changing conditions and to cope with major events. The dynamics of shrinking cities are different than the dynamics of growin...

We prove that a Schauder frame for any separable Banach space is shrinking if and only if it has an associated space with a shrinking basis, and that a Schauder frame for any separable Banach space is shrinking and boundedly complete if and only if it has a reflexive associated space. To obtain these results, we prove that the upper and lower estimate theorems for finite dimensional decompositi...

Analytical calculations of the dynamics of a curved domain wall in a nematic liquid crystal are performed. The core of the wall is assumed to form a cylinder, whose axis coincides with the direction of an external magnetic field. The equation of motion for the nematic director field is solved in a comoving coordinate frame by applying a polynomial expansion of the tilt angle with respect to the...

Abstract Pandemics disrupt the global economy. Understanding transmission pattern of pandemics informs policies to prevent or reduce catastrophic consequences associated with pandemics. In this study, we applied gravity model trade investigate coronavirus disease 2019 (COVID-19) across countries. The results suggest an outbreak in a country is likely spread faster (slower) from shrinking (boomi...

the aim of the present study is to investigate and compare the role of journals with different access models (including print, database, print/database subscriptions) as well as unsubscribed models in meeting the information needs of shiraz university researchers. using a bibliometric method, the communication studies the references used in shiraz university scientific papers indexed by thomson...

Abstract Many biological structures exhibit intriguing morphological patterns adapted to environmental cues, which contribute their important functions and also inspire material designs. Here, we report a chiral wrinkling topography in shrinking core–shell spheres, as observed excessively dehydrated passion fruit experimentally demonstrated silicon core–shells under air extraction. Upon shrinka...