Let r(G,H) be the smallest integer N such that for any 2-coloring (say, red and blue) of the edges of Kn, n > N there is either a red copy of G or a blue copy of H . Let Kn − K1,s be the complete graph on n vertices from which the edges of K1,s are dropped. In this note we present exact values for r(Km −K1,1,Kn −K1,s) and new upper bounds for r(Km,Kn−K1,s) in numerous cases. We also present som...

Let K1,K2 be two compact convex sets in C. Their Minkowski product is the set K1K2 = {ab : a ∈ K1, b ∈ K2}. We show that the set K1K2 is star-shaped if K1 is a line segment or a circular disk. Examples for K1 and K2 are given so that K1 and K2 are triangles (including interior) and K1K2 is not star-shaped. This gives a negative answer to a conjecture by Puchala et. al concerning the product num...

This paper may be viewed as a corrigendum as well as an extension of the paper by (Czumaj et al., Theoret. Comput. Sci. 262 (1–2), (2001) 569–582) where they deal with the variable length scheduling problem (VLSP) with parameters k1; k2, denoted VLSP(k1; k2). In the current paper, we >rst discuss an error in the analysis of one of the approximation algorithms described in (Czumaj et al., Theore...

The K1 protein of Kaposi's sarcoma-associated herpesvirus (KSHV) has been shown to be a transforming protein capable of inducing morphological changes and focus formation in rodent fibroblasts. K1 can activate B-cell receptor (BCR) signaling and upregulate activity of the NFAT and NF-kappaB transcription factors. In order to understand the regulation of K1 gene expression, we have analyzed sequ...

The K1 gene of Kaposi sarcoma-associated herpesvirus (KSHV) encodes a transmembrane glycoprotein bearing a functional immunoreceptor tyrosine-based activation motif (ITAM). Previously, we reported that the K1 protein induced plasmablastic lymphomas in K1 transgenic mice, and that these lymphomas showed enhanced Lyn kinase activity. Here, we report that systemic administration of the nuclear fac...

Five bacteriophage stocks were prepared after enrichment of a sewage sample using Escherichia coli 02:K1:H4 (strain U9/41). The bacteriophages were tested for their ability to lyse 224 strains of E. coli that had been tested for the presence of the K1 antigen by means of an antiserum-agar diffusion technique, using a meningococcus group B antiserum known to detect the E. coli K1 antigen. The st...

We have recently identified a novel collectin, CL-K1, that may play a role in innate immunity as a member of the collectin family. In this study using mice, we investigated the tissue distribution of CL-K1 for better understanding of its pathophysiological relevance. Real-time PCR analyses demonstrated that CL-K1 mRNA was expressed in all tissues tested. Immunohistochemical analyses demonstrate...

with the right-hand side being identified in terms of the the best constant of the Gagliardo–Nirenberg inequality. Within the scale of moderate deviations, we also establish the precise tail asymptotics for the intersection local time In = #{(k1, . . . , kp) ∈ [1, n];S1(k1)= · · · = Sp(kp)} run by the independent, symmetric, Zd -valued random walks S1(n), . . . , Sp(n). Our results apply to the...

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...