in this paper, we investigate the zassenhaus conjecture for $psl(4,3)$ and $psl(5,2)$. consequently, we prove that the prime graph question is true for both groups.

Connectivity augmentation problems ask for adding a set of at most k edges whose insertion makes a given graph satisfy a specified connectivity property, such as bridge-connectivity or biconnectivity. We show that, for bridge-connectivity and biconnectivity, the respective connectivity augmentation problems admit problem kernels with O(k) vertices and links. Moreover, we study partial connectiv...

Although indexes of wave reflection enhance risk prediction, the extent to which measures of aortic systolic pressure augmentation (augmented pressures [Pa] or augmentation index) underestimate the effects of reflected waves on cardiovascular risk is uncertain. In participants from a community sample (age >16), we compared the relative contribution of reflected (backward wave pressures and the ...

Greedy algorithms are often the first algorithm that one considers for various optimization problems, and ,in particular, covering problems. The idea is very simple: try to build a solution incrementally by augmenting a partial solution. In each iteration, select the “best” augmentation according to a simple criterion. The term greedy is used because the most common criterion is to select an au...

In breast augmentation, surgeons usually choose a pocket location for the implant behind breast parenchyma (retromammary), partially behind the pectoralis major muscle (partial retropectoral), or totally behind pectoralis major and serratus (total submuscular). Each of these implant pocket locations has specific indications, but each also has a unique set of tradeoffs. When applied to a wide ra...

In breast augmentation, surgeons usually choose a pocket location for the implant behind breast parenchyma (retromammary), partially behind the pectoralis major muscle (partial retropectoral), or totally behind pectoralis major and serratus (total submuscular). Each of these implant pocket locations has specific indications, but each also has a unique set of tradeoffs. When applied to a wide ra...

A partial order on a job set is called consistent, if it has a linear extension which is an optimal solution to the total tardiness problem of the job set. The concept of proper augmentations of consistent partial orders is based on Emmons’ well-known dominance theorem. In this paper, we address the question of whether the proper augmentation of a consistent partial order always results in a pa...

Clozapine is the only antipsychotic medication that has definitely shown to be effective in treating refractory schizophrenia. Clozapine is typically the medication of choice in schizophrenic patients with a partial response to treatment. When clozapine fails to elicit a full treatment response, augmentation strategies are then explored. It is important to note, however, that in treatment resis...