Let τ(G) denote the number of vertices in a longest path of the graph G and let k1 and k2 be positive integers such that τ(G) = k1+k2. The question at hand is whether the vertex set V (G) can be partitioned into two subsets V1 and V2 such that τ(G[V1]) ≤ k1 and τ(G[V2]) ≤ k2. We show that several classes of graphs have this partition property.

Multiplex-PCR assay for identification of Klebsiella pneumoniae isolates carrying gene clusters for biosynthesis of capsular polysaccharide (CPS) types K1 and K2 was developed. Genes wzc and orf10 of the cps cluster were applied as K1 and K2 specific markers respectively. The assay specificity was confirmed using 147 isolates of Klebsiella spp. including 77 K-antigen reference strains. The mult...

The K2K experiment has presented the first results on the observation of νμ. They show a depletion compared to the expectations and are consistent with neutrino oscillations with a mass-splitting in the range favoured by the Super-Kamiokande atmospheric neutrino measurements. Here we examine the extent by which the range of ∆m obtained from the K2K measurements can vary due to the uncertainties...

The K2K (KEK to Kamioka) long-baseline neutrino-oscillation experiment was successfully started in early 1999. A total intensity of 7.20 × 10 protons on target, which is about 7% of the goal of the experiment, was accumulated in 39.4 days of data-taking in 1999. We obtained 3 neutrino events in the fiducial volume of the Super-Kamiokande detector, whereas the expectation based on observations i...

We will formulate and prove a certain reciprocity law relating certain residues of the differential symbol dlog2 from the K2 of a Mumford curve to the rigid analytic regulator constructed by the author in a previous paper. We will use this result to deduce some consequences on the kernel and image of the rigid analytic regulator analogous to some old conjectures of Beilinson and Bloch on the co...

As was shown previously, oscillations of massless neutrinos may be due to the splitting of multiply degenerate Fermi points. In this Letter, we give the details and propose a three-flavor model of Fermi point splittings and neutrino mixings with only two free parameters. The model may explain recent experimental results from the K2K and KamLAND collaborations. There is also rough agreement with...

Gamma-Carboxyglutamic acid (Gla)-containing protein, synthesized in the presence of vitamin K, has been found in atherogenic plaques, but the pharmacological effect of vitamin K on atherosclerosis is unclear. We examined whether vitamin K2 (menatetrenone) could affect the progression of both atherosclerosis and hypercoagulability in hypercholesterolemic rabbits. Vitamin K2 in daily doses of 1, ...

To develop a more potent antithrombin agent with thrombolytic and antiplatelet properties, a new staphylokinase (SAK) variant was constructed. The kringle 2 domain (K2) of tissue type-plasminogen activator (t-PA) containing a fibrin-specific binding site (i), the RGD sequence (Arg-Gly-Asp) for the prevention of platelet aggregation (ii) and the antithrombotic agent - hirulog (iii) was assembled...

Associated to oriented surfaces immersed in R 3 , here are studied pairs of transversal foliations with singularities, defined on the Elliptic region, where the Gaussian curvature K, given by the product of the principal curvatures k1, k2 of the immersion, is positive. The leaves of the foliations are the lines of M-mean curvature, along which the normal curvature of the immersion is given by a...

Leaf senescence varies greatly among cotton cultivars, possibly due to their root characteristics, particularly the root-sourced cytokinins and abscisic acid (ABA). Early-senescence (K1) and late-senescence (K2) lines, were reciprocally or self-grafted to examine the effects of rootstock on leaf senescence and endogenous hormones in both leaves and xylem sap. The results indicate that the graft...