Let G be a connected graph on n vertices with no more than n(\ + e) edges, and Pk or Ck a path or cycle with k vertices. In this paper we will show that if n is sufficiently large and e is sufficiently small then for k odd r(G, Ck) In 1. Also, for k > 2, r(G, Pk) = max{/i -t[k/2] l,n + k 2 a' 8), where a' is the independence number of an appropriate subgraph of G and 5 is 0 or 1 depending upon ...

We report here our low temperature (2230 K) heat capacity, Cp measurements of R2Ni3Si5 (R 5Pr, Nd, Sm, Gd-Ho). Large peaks in heat capacity data at magnetic transition temperatures (TN) confirm the bulk nature of magnetic order in these compounds. In Nd2Ni3Si5 , Gd2Ni3Si5 , and Dy2Ni3Si5 , magnetization studies indicated only one magnetic transition, whereas, heat-capacity data show two transit...

BRCA1/p220-assocaited and triple negative/basal-like (TN/BL) tumors are aggressive and incurable breast cancer diseases that share among other features the no/low BRCA1/p220 expression. Here we show that BRCA1/p220 silencing in normal human mammary epithelial (HME) cells reduces expression of two RNA-destabilizing proteins, namely AUF1 and pCBP2, both proteins bind and destabilize BRCA1-IRIS mR...

Triple-negative (TN) breast cancers were defined as those which tested negative for estrogen receptor (ER), progesterone receptor (PR), and HER2. TN breast cancers account for 12%– 26% of all types of breast cancers [1–5]. TN tumors were aggressive and were usually diagnosed at a later stage [5]. About 85% of TN phenotypic breast cancers are deemed to be basal like and have a clinical behavior ...

If Tn(x, y) is the Tutte polynomial of the complete graph Kn, we have the equality Tn+1(1, 0) = Tn(2, 0). This has an almost trivial proof with the right combinatorial interpretation of Tn(1, 0) and Tn(2, 0). We present an algebraic proof of a result with the same flavour as the latter: Tn+2(1,−1) = Tn(2,−1), where Tn(1,−1) has the combinatorial interpretation of being the number of 0–1–2 incre...

Tenascin-X (Tn-X) belongs to the tenascin family of glycoproteins and has been reported to be significantly associated with schizophrenia in a single nucleotide polymorphism analysis in humans. This finding indicates an important role of Tn-X in the central nervous system (CNS). However, details of Tn-X localization are not clear in the primate CNS. Using immunohistochemical techniques, we foun...

OBJECTIVE The purpose of the present study was to determine the prevalence and incidence of virological triple drug-class failure (TCF) and to summarize the clinical outcome for patients who started receiving highly active antiretroviral therapy (HAART). METHODS The present study is an observational longitudinal study of 3496 treatment-experienced (TE) and treatment-naive (TN) patients monito...

Tenascin-C (TN-C) is an extracellular matrix glycoprotein with high bioactivity. It is expressed at low levels in normal adult heart, but upregulated under pathological conditions, such as myocardial infarction (MI). Recently, we (Ref. 34) reported that MI patients with high serum levels of TN-C have a greater incidence of maladaptive cardiac remodeling and a worse prognosis. We hypothesized th...