Departing from the Biggs-Smith graph, we construct a connected 12regular 102-vertex graph Y of diameter 3 that can be presented as the edge-disjoint union of 102 copies of K4 or as the square-disjoint union of 102 cuboctahedra L(Q3), with each edge shared by four L(Q3)s and each triangle shared by two L(Q3)s and a sole copy of K4. Moreover, Y is the non-line-graphical Menger graph of a self-dua...

We show that for every fixed A > 0 and θ > 0 there is a θ = θ(A, θ) > 0 with the following property. Let n be odd and sufficiently large, and let Q1 = Q2 := n 1/2(log n)−θ and Q3 := (log n) θ. Then for all q3 ≤ Q3, all reduced residues a3 mod q3, almost all q2 ≤ Q2, all admissible residues a2 mod q2, almost all q1 ≤ Q1 and all admissible residues a1 mod q1, there exists a representation n = p1+...

1 Overview A simulation contains a sequence of predicted states of a modeled system. A qualitative-numeric simulation is one containing both qualitative and quantitative state information, such that the qualitative information alone would be a qualitative simulation, and the quantitative information alone would be a numerical simulation. Qualitative-numeric simulation is thus a generalization o...

Retigabine [N-(2-amino-4-[fluorobenzylamino]-phenyl) carbamic acid; D-23129] is a novel anticonvulsant, unrelated to currently available antiepileptic agents, with activity in a broad range of seizure models. In the present study, we sought to determine whether retigabine could enhance current through M-like currents in PC12 cells and KCNQ2/Q3 K(+) channels expressed in Chinese hamster ovary ce...