Embedding graphs having Ore-degree at most five

Let $H$ and $G$ be graphs on $n$ vertices, where $n$ is sufficiently large. We prove that if $H$ has Ore-degree at most 5 and $G$ has minimum degree at least $2n/3$ then $H\subset G.$Comment: accepted for publication at SIAM J. Disc. Mat

Maps on classes of Hilbert space operators preserving measure of commutativity

In this paper first we give a partial answer to a question of L. Moln\'ar and W. Timmermann. Namely, we will describe those linear (not necessarily bijective) transformations on the set of self-adjoint matrices which preserve a unitarily invariant norm of the commutator. After that we will characterize those (not necessarily linear or bijective) maps on the set of self-adjoint rank-one projections acting on a two-dimensional complex Hilbert space which leave the latter quantity invariant. Finally, this result will be applied in order to obtain a description of such bijective preservers on the unitary group and on the set of density operators.Comment: 16 pages, submitted to a journa

Nitrogén monoxid szerepe a rheumatoid arthritis pathogenezisében = The role of nitric oxide in the pathogenesis of rheumatoid arthritis

Rheumatoid arthritisben (RA) szenvedő betegek T limfocitáinak NO termelése jelentősen fokozott (közel háromszorosa) egészséges kontrollok T limfocitáihoz képest. RA-ben szenvedő betegek T limfocitáinak citoplazmatikus Ca2+ szintje szintén magasabb kontrollokénál(p 2.5 times more NO than healthy donor T cells (p<0.001). Increased NO production is associated with increased cytoplasmic Ca2+ concentrations in RA T cells (p<0.001). In vitro treatment of human peripheral blood lymphocytes, or Jurkat cells with TNF increases NO production (p=0.006 and p=0.001, respectively), whilst infliximab treatment in RA patients decreases T cell-derived NO production within 6 weeks of the first infusion (p=0.005). We have shown that the TNF induced NF-?B activation can be inhibited by NO (p<0.001), further suggesting that NO modulates the effects of TNF on T cells. Prolonged exposure to tumor necrosis factor alpha (TNF) downregulates TCR ? in human T cells (p<0.001). By contrast, total and cell surface CD3 ? protein expression is not regulated by TNF. NO pretreatment profoundly inhibits TNF induced TCR ? downregulation in human T cells (p<0.001). TNF increases the expression of src-like adaptor protein (SLAP; a regulator of CD3? expression) in lymphocytes. In addition to its direct effects on T lymphocyte function, histamine regulates cytokine production and T cell signal transduction through regulating NO production. Together, these data indicate that markedly increased NO production of T lymphocytes may contribute to perturbations of immune homeostasis in RA

Debit and Credit Card Loyalty Programmes

Banks always try to obtain customers’ loyalty by various ways. Retail banks issue reward cards to persuade customers not to change bank. By collecting points clients can take extra services like purchasing at certain stores discount of some percent or getting an airplane ticket free if enough point is accumulated. Financial institutions issue cashback cards by the other hand. By using them card holders can receive back a few percent of the amount of their purchasing as an annual rebate. However collecting points seems to be a good opportunity to keep customers, the relation is not definite. In this working paper based on a preceding research we present some examples how banks try to keep their clients.

Laser beam cutting and welding of coronary stents

Coronary stents are thin-walled and mesh-structured metallic implants, which are made generally by laser beam cutting of high-precision tubes of 90-120 micrometer thickness. The tube material can be 316L stainless steel or L605 type cobalt-chromium alloy. The paper present how laser settings influence geometry and surface quality of the kerf and residual stresses, which play very important role in the precision of stent strut homogeneity. Hungarian Tentaur stent was developed 15 years ago. This coil stent made of 145 micrometers thick stainless steel wire contains 9-25 joints produced by electric resistance projection welding. Developments were bringing out for increasing flexibility of Tentaur stent, and a new design and a new tech-nology was elaborated, which’s based on laser beam mi-crowelding. TentaFlex stent also is constructed from austenitic stainless steel wire, but it does not contain any wire-crossing joint, because stent struts are configured from sinusoidal helix. Stent contains only two welded joints at its ends. Laser welding experiences of these joints are presented in the paper. A Trumpf PowerWeld Nd:YAG laser work station was used for welding, and after optimization of laser settings joints can’t produces from only one side of the coiled stent

A systemás lupus erythematosus patogenetikai tényezőinak és klinikai aktivitásának kapcsolata = Pathogenetic factors and clinical activity of systemic lupus erythematosus

1. Anti-SS-A és SS-B antitestek SLE-ben: 200 SLE-s beteget vizsgáltunk, 38,5% volt SS-A és/vagy SS-B antitest pozitív. A pozitívak között gyakoribb volt a bőrmanifestatio és ritkább a vese-, ill. központi idegrendszeri involvatio. Az SS-A és/vagy SS-B antitestek jelenléte SLE-ben prognosztikai jelentőséggel bír. 2. DNáz I aktivitás és anti-nucleosoma antitest (ANSA) SLE-ben: 113 SLE-s beteg 185 szérummintáját vizsgáltuk, 9 nem differenciált autoimmun beteg (UCTD) és 52 egyéb autoimmun beteg mintái szolgáltak kontrollként. A DNáz aktivitás SLE-ben és UCTD-ben alacsonyabb volt, mint a kontrollokéban. SLE-ben magasabb ANSA titert találtunk, mint akár az UCTD betegek, akár az egyéb autoimmun betegek között, e két utóbbi betegcsoport között nem volt szignifikáns különbség. A DNáz aktivitás csökkent SLE-ben, de nem követi az aktivitást és nem jósolja meg a veseinvolvatiot. 3. Thrombosis kockázat SLE-ben: 105 SLE-s beteg vérmintáit vizsgáltuk különféle thrombosis kockázati paraméterek (APA, APC rezisztencia, V Leiden/protrombin mutációk, protein C/S, antithrombin aktivitás, VIII faktor, vWf és homocisztein) szerint. A legfontosabb kockázati tényezők (V faktor Leiden mutáció, VIII faktor és homocisztein szint) szűrővizsgálata lényeges az antifoszfolipid antitest pozitív betegekben - ezek korrelálnak ugyanis legjobban a thrombosis kockázatával. A többi teszt kockázati és/vagy védő szerepe tisztázásra vár. | 1. Anti-SS-A and SS-B Antibodies in SLE: 200 patients with SLE were studied. 38.5% were SS-A and/or SS-B positive. In the SS-A/B positive group skin manifestations were more frequent, while renal and central nervous system manifestations occurred less frequently. The presence (or absence) of SS-A and/or SS-B antibodies, therefore, is of prognostic significance in SLE. 2. DNase I Activity and Anti-nucleosome Antibodies (ANSA) in SLE: 185 sera of 113 SLE patients were studied compared to 9 samples from patients of undifferenciated connective tissue disease (UCTD) and 52 control samples. DNase activity in SLE were found to be lower than in the sera from patients having non-systemic autoimmune diseases, but not lower than in UCTD. Conclusion: serum DNase activity is decreased in SLE but is not a proper parameter following disease activity or predicting renal involvement. 3. Thrombosis Risk in SLE: 105 patients with SLE were analyzed with an extensive screening including lupus anticoagulant (LA) APAs, APC resistance, factor V Leiden and prothrombin mutations, protein C, protein S and antithrombin activity, factor VIII and von Willebrand factor and homocysteine levels. Conclusion: the presence of LA and/or APA in SLE patients poses the highest risk for development of thrombosis; screening for additional thrombophilic factors is of less importance