Let k and ` be positive integers. With a graph G, we associate the quantity ck,`(G), the number of k-colorings of the edge set of G with no monochromatic matching of size `. Consider the function ck,` : N −→ N given by ck,`(n) = max {ck,`(G) : |V (G)| = n}, the maximum of ck,`(G) over all graphs G on n vertices. In this paper, we determine ck,`(n) and the corresponding extremal graphs for all l...

Let F be a graph and k be a positive integer. With a graph G, we associate the quantity ck,F (G), the number of k-colorings of the edge set of G with no monochromatic copy of F . Consider the function ck,F : N −→ N given by ck,F (n) = max{ck,F (G) : |V (G)| = n}, the maximum of ck,F (G) over all graphs G on n vertices. In this paper we study the asymptotic behavior of ck,F and describe the extr...

The prevalence of circulating macromolecular creatine kinase type 1 (macro CK type 1 or CK-immunoglobulin complexes) is significantly higher in a patient population selected for CK isoenzyme assay than in age- and sex-matched blood donors (n = 1304). In greater than 8000 patients studied, 49 individuals with macro CK type 1 were identified, yielding an overall prevalence of 0.61%. Macro CK type...

The automated (CK)MB1,2/MM1,2,3 isoform measurement, based on electrophoresis, has been simplified to the point that it has become possible to perform this analysis on a 24-h routine basis. We studied analytical aspects of this analysis and its clinical relevance in relation to other biochemical markers (CK total, CKMB activity, CKMB mass, myoglobin, Troponin I and Troponin T) in patients with ...

Monoclonal antibodies have been raised against human heart- and brain-type creatine kinase (CK-MB and CK-BB). We used a low-affinity monoclonal antibody to develop a simple two-step immunoaffinity purification procedure for native CK-MB. Antibodies of higher affinity were used to construct specific two-site immunoradiometric assays for CK-MB and CK-BB. In the assay for CK-MB we used an 125I-lab...

Cytokinins (CKs) are involved in the regulation of plant development including plastid differentiation and function. Partial location of CK biosynthetic pathways in plastids suggests the importance of CKs for chloroplast development. The impact of genetically modified CK metabolism on endogenous CK, indole-3-acetic acid, and abscisic acid contents in leaves and isolated intact chloroplasts of N...

in this work we investigate the thermal entanglement between two-level atoms and photons in a nonlinear cavity. we consider intensity-dependent couplings and calculate the negativity, as a measure of atom-photonentanglement. the cavity is assumed to be at a temperature t, so that all number of photons, and at the same time, both atomic states, with definite probabilities, are present. we then d...