We study the polyhedra of splittable and unsplittable single arc–set relaxations of multicommodity flow capacitated network design problems. We investigate the optimization problems over these sets and the separation and lifting problems of valid inequalities for them. In particular, we give a linear–time separation algorithm for the residual capacity inequalities [19] and show that the separat...

We design an approximation algorithm for maximizing \(\alpha\)-bisubmodular function with matroid constraint, where the is a generalization of bisubmodular function. The concept \(\alpha\)- bisubmodularity provided by Huber, Krokhin, and Powell [[1], 2014], rank delta-matroids cut capacity directed networks have \(\alpha\)-bisubmodularity. consider two cases problem, monotone non-monotone objec...

A 46-year-old woman with epigastric pain was found to have a cystic tumor in the pancreas head on radiological examinations. The tumor was hypervascular, and its multilocular appearance resembled the "honeycomb" pattern of serous cystic tumor (SCT). The patient underwent surgery. The cut surface of the tumor showed a thick fibrous capsule with multiple cystic components, which contained necroti...

in this paper, we introduce new classes $sum_{k,p,n}(alpha ,m,lambda ,l,rho )$ and $mathcal{t}_{k,p,n}(alpha ,m,lambda ,l,rho )$ of p-valent meromorphic functions defined by using the extended multiplier transformation operator. we use a strong convolution technique and derive inclusion results. a radius problem and some other interesting properties of these classes are discussed.

Background:Brucella spp. are facultative intracellular pathogens that can cause chronic infections in many tissues and organs. Objectives: To investigate serum dermcidin, salusin-alpha, salusin-beta and TNF-alpha levels and their correlation with each other in patients with acute brucellosis. Methods: From 50 patients hospitalized upon...

Background: There are few psychometric studies addressing sensitivity and specificity of the Persian version of the Edinburgh Postnatal Depression Scale (EPDS). Therefore, there is a need for future studies to identify the best cut-off point for EPDS score. The present study is aimed at assessing the validity of the EPDS among Iranian mothers. Materia...