We discuss the length Lc,n of longest cycle in a sparse random graph Gn,p, p=c/n, c constant. show that for large there exists function f(c) such Lc,n/n?f(c) a.s. The f(c)=1??k=1?pk(c)e?kc where pk(c) is polynomial c. are only able to explicitly give values p1,p2, although we could principle compute any pk. see immediately path also asymptotic f(c)n w.h.p.

Let (Xi)i≥1 and (Yi)i≥1 be two independent sequences of identically distributed (iid) random variables taking their values in a common finite alphabet having the same law. LCn length longest subsequences words X1⋯Xn Y1⋯Yn. Under lower bound assumption on order its variance, is shown to satisfy central limit theorem. This contrast limiting distribution uniform permutations {1,…,n}, which Tracy-W...

Objective: Emergency departments and hospital emergency departments are important due to their critical role in providing urgent medical care to patients in dire need of medical interventions. Checking bottlenecks in new conditions and planning to reduce bed occupancy and hospitalization is needed. The purpose of this study is to investigate the relationship between the patient’s chief complain...

in this study a nonlinear asymmetric instability analysis carried out to study primary atomization of annular liquid sheets emanating from the prefilming airblast atomizer using a perturbation method and potential flow assumption. in this direction, firstly governing equations derived according to potential flow assumption and conservation equations while dynamic and static boundary condition a...

this paper aims to propose an effective paroxysmal atrial fibrillation (paf) predictor which is based on the analysis of the heart rate variability (hrv) signal. predicting the onset of paf, based on non-invasive techniques, is clinically important and can be invaluable in order to avoid useless therapeutic intervention and to minimize the risks for the patients. this method consists of four st...