In this letter, we exploit generalised unitarity in order to calculate the cut-constructible part of one-loop amplitudes in non-supersymmetric Yang-Mills theory. In particular, we rederive the n-gluon MHV amplitudes for both the adjacent and non-adjacent gluon helicity configurations from 3and 4-particle cuts alone. {a.brandhuber, m.vincon}@qmul.ac.uk

In this paper we are interested in algorithms for finding 2-factors that cover certain prescribed edge-cuts in bridgeless cubic graphs. We present an algorithm for finding a minimum-weight 2-factor covering all the 3-edge cuts in weighted bridgeless cubic graphs, together with a polyhedral description of such 2-factors and that of perfect matchings intersecting all the 3-edge cuts in exactly on...

Insulin-like growth factor-I (IGF-I)-mediated growth of cells can be modulated by specific IGF binding proteins (IGFBPs) that inhibit or augment IGF-I ligand-receptor interaction. IGFBP expression and production by human intestinal muscle cells in culture was characterized in rapidly growing cells ( day 3 of culture), in confluent cells ( day 7), and in postconfluent cells ( day 14). RT-PCR ana...

Last time, we established the hardness of two fundamental problems, (2-)Partition and 3-Partition, and exhibited a bunch of reductions from those problems to other numerical and geometrical ones. Today, we continue with reductions from 3and 2-Partition to geometrical problems—we’ll also use the fact that the problem of packing n squares into a square without rotations is strongly NP-complete, a...

Rat glial cells were grown in tissue culture in vitamin BW deficient medium. As the intracellular level of coenzyme Bls decreased, the cells made increasing amounts of two unusual fatty acids. The fatty acids were unbranched acids with 15 and 17 carbon atoms and arose as the cells progressively lost the ability to metabolize propionic acid through the BIz-requiring methylmalonyl-CoA mutase reac...

In our experiment, an interface between a viscous liquid and air is deformed by a sink flow of constant flow rate to form a sharp tip. Using a microscope, the interface shape is recorded down to a tip size of 1 microm. The curvature at the tip is controlled by the distance h between the tip and the sink. As a critical distance h*is approached, the curvature diverges like 1/(h-h*)3and the tip be...

Within mathematical research, Geometric Topology deals with the study of piecewise-linear n-manifolds, i.e. triangulable spaces which appear locally as the n-dimensional Euclidean space. This paper reports on the computational aspects of an algorithm for generating triangulations of PL 3and 4-manifolds represented by edge-coloured graphs. As the number of graph vertices is increased the algorit...

Reproductive performance varies with age in a wide range of organisms, and increasingly such patterns are interpreted in terms of state-dependent models. We sought to characterise ‘state’ with regards to age-related variation in clutch size, egg mass and timing of breeding in captive zebra finches Taeniopygia guttata, focusing on the roles of diet quality, age and breeding experience. Females o...