The (p,1)-total number λp (G) of a graph G is the width of the smallest range of integers that suffices to label the vertices and the edges of G such that no two adjacent vertices have the same label, no two incident edges have the same label and the difference between the labels of a vertex and its incident edges is at least p. In this paper we consider the list version. Let L(x) be a list of ...

1. All figures are uploaded as separate files. 2. Institutional email addresses for all authors are provided on the title page. 3. The original funding information has been relocated to the Funding section, and “Not applicable” has been put under the Acknowledgements section. (P.13-14.) 4. The heading has been changed to Methods. (P.5, L.1) 5. Additionally, we have updated the word count of the...

Let K be an imaginary quadratic eld and let O K be the ring of integers of K. Let E be an elliptic curve deened over Q with complex multiplication by O. Let be the Grr ossencharacter attached to the curve E over K by the theory of complex multiplication and let be the conjugate character. For k > j > 0, k ?j is a Grr ossencharacter. We will study p? part of the conjecture of Bloch-Kato for the ...

We exposed division-synchronized Tetrahymena pyriformis to pulse treatments with the structural amino acid analogue p-fluorophenylalanine. We related the timing of the treatments to the delays in onset or completion of division, or both. The results enable us to distinguish between early and late phases in cell division in which the cells bring into action proteins which contribute to initiate ...

When kidney cells are cultured directly from the rabbit, the nuclear membranes undergo a change that can be measured as an increase in electrophoretic mobility. The change appears to begin immediately upon culture and is maximal 2 hours later, after which the mobility remains constant at the elevated level. Actinomycin D and p-fluorophenylalanine, but not EDTA or ionizing radiation, suppress th...