Let k,? be two positive integers. An Sk,? is a graph obtained from disjoint K1,k and K1,? by adding an edge between the k-degree vertex in ?-degree K1,?. Sk,?-free containing no induced subgraph isomorphic to Sk,?. In this paper, we show that, for any integers with 2?k??, there exists constant c=c(k,?) such that every connected balanced bipartite minimum degree at least c contains k-factor.

This assay for phylloquinone (vitamin K1) in plasma requires a single liquid-chromatographic step. Much smaller volumes of plasma (0.5-1.0 mL) are required than in previous assays. Before liquid chromatography, we purified crude lipid extracts by conventional chromatography on silica, then extracted the lipid fraction by dissolving it in an acidic mixture of hexane/acetonitrile (1/4 by vol) con...

The notion of the extremal length and the module of families of curves has been studied extensively and has given rise to a lot of applications to complex analysis and the potential theory. In particular, the coincidence of the p-module and the p-capacity plays an important role. We consider this problem on the Carnot group. The Carnot group G is a simply connected nilpotent Lie group equipped ...

let g be a (p,q) graph. an injective map f : e(g) → {±1,±2,...,±q} is said to be an edge pair sum labeling if the induced vertex function f*: v (g) → z - {0} defined by f*(v) = σp∈ev f (e) is one-one where ev denotes the set of edges in g that are incident with a vertex v and f*(v (g)) is either of the form {±k1,±k2,...,±kp/2} or {±k1,±k2,...,±k(p-1)/2} u {±k(p+1)/2} according a...

background: the critical role of interleukin-7 (il-7) in homeostatic proliferation and t cell survival has made it a promising cytokine for the treatment of various clinical conditions, especially those associated with lymphopenia. methods: in the present study we expressed recombinant human interleukin-7 (rhil-7) in chinese hamster ovary (cho)-k1 cells. cho-k1 cells were stably transfected wit...

BACKGROUND The growing number of human immunodeficiency virus type 1 (HIV-1) infections worldwide and the increasing use of immunosuppressive modalities for organ transplantation have contributed to an epidemic of Kaposi's sarcoma (KS), which has been etiologically linked to human herpesvirus 8 (HHV8) or KS-associated virus. Since the onset of the acquired immunodeficiency syndrome epidemic, in...

Let S denote the graph obtained from K4 by removing two edges which have an endvertex in common. Let k be an integer with k ≥ 2. Let G be a graph with |V (G)| ≥ 4k and σ2(G) ≥ |V (G)|/2 + 2k− 1, and suppose that G contains k vertex-disjoint triangles. In the case where |V (G)| = 4k+2, suppose further that G K4t+3 ∪ K4k−4t−1 for any t with 0 ≤ t ≤ k − 1. Under these assumptions, we show that G c...