Given a graph G and a non-negative integer weight or demand xv for each node v, a colouring of the pair (G, x) is an assignment to each node v of a set of xv colours such that adjacent nodes receive disjoint sets of colours. We are interested in such colourings when the maximum demand xv is large. An application where such colouring problems arise is in the design of cellular radio communicatio...

The paper investigates the effects of international trade in goods and capital movement on the productivity distribution and industry-wide productivity when countries are heterogeneous in the quality of their financial institutions. In autarky, firm heterogeneity in their productivities arises in countries with poor financial institutions, while all firms adopt a high-productivity technology in...

BACKGROUND Ongoing molecular processes in a cell could target microsatellites, a kind of repetitive DNA, owing to length variations and motif imperfection. Mutational mechanisms underlying such kind of genetic variations have been extensively investigated in diverse organisms. However, obscure impact of ploidization, an evolutionary process of genome content duplication prevails mostly in plant...