a vertex irregular total k-labeling of a graph g with vertex set v and edge set e is an assignment of positive integer labels {1, 2, ..., k} to both vertices and edges so that the weights calculated at vertices are distinct. the total vertex irregularity strength of g, denoted by tvs(g)is the minimum value of the largest label k over all such irregular assignment. in this paper, we study the to...

Despite the fundamental function of neutrophils (polymorphonuclear leukocytes (PMNs)) in innate immunity, their role in Escherichia coli K1 (EC-K1) -induced meningitis is unexplored. Here we show that PMN-depleted mice are resistant to EC-K1 (RS218) meningitis. EC-K1 survives and multiplies in PMNs for which outer membrane protein ...

هدف: هدف پژوهش حاضر، ساخت و اعتبار­سنجی سیاهه آسیب‌شناسی روانشناختی نوجوانان در فضای مجازی بود. روش: روش آمیخته اکتشافی (کیفی-کمی) بدین منظور با استفاده از تحلیل مضمون مقالات مصاحبه‌های انجام‌شده متخصصان فعال مجازی، آسیب­ ها شناسایی شدند بر اساس آن ­ای ساخته شد. جامعه آماری بخش کیفی شامل مقالات، اساتید دانشگاه­ های اراک، اصفهان، امام خمینی قزوین شهر اراک بودند که نمونه هدفمند آنها انتخاب کمی بو...

We show that there exist knots K ⊂ S with g(E(K)) = 2 and g(E(K#K#K)) = 6. Together with [5, Theorem 1.5], this proves existence of counterexamples to Morimoto’s Conjecture [10]. This is a special case of [6]. Let Ki (i = 1, 2) be knots in the 3-sphere S, and let K1#K2 be their connected sum. We use the notation t(·), E(·), and g(·) to denote tunnel number, exterior, and Heegaard genus respecti...

A (k1, k2)-outdegree-splitting of a digraph D is a partition (V1, V2) of its vertex set such that D[V1] and D[V2] have minimum outdegree at least k1 and k2, respectively. We show that there exists a minimum function fT such that every tournament of minimum outdegree at least fT (k1, k2) has a (k1, k2)outdegree-splitting, and fT (k1, k2) ≤ k 1/2+3k1/2+k2+1. We also show a polynomial-time algorit...

Let K (K = K2 whose residue field is K1 whose residue field is K0, see the notation in section 1 of Part I) be a two-dimensional local field of equal characteristic. Thus K2 is isomorphic to the Laurent series field K1((t2)) over K1. It is convenient to think of elements of K2 as (formal) loops over K1. Even in the case where char (K1) = 0, it is still convenient to think of elements of K1 as (...

Let 1 → (K, K1) → (G, NG(K1)) → (Q, Q1) → 1 be a short exact sequence of pairs of finitely generated groups with K strongly hyperbolic relative to the subgroup K1. Let relative hyperbolic boundary of K with respect to K1 contains atleast three distinct parabolic end points and for all g ∈ G there exists k ∈ K such that gK1g −1 = kK1k , then we prove that there exists a quasi-isometric section s...

Expression of the K1 gene of human herpesvirus 8 activates nuclear factor-kappaB and induces lymph node hyperplasia and lymphomas in transgenic mice. To further delineate its role in cell survival, we determined whether K1 altered apoptosis of lymphoma cells. K1 protein is expressed in Kaposi sarcoma and primary effusion lymphoma. We retrovirally transfected BJAB lymphoma, THP-1, U937, and Kapo...