In this paper we develop new algorithmic machinery for solving hard problems on graphs of bounded rank-width and on digraphs of bounded bi-rank-width in polynomial (XP, to be precise) time. These include, particularly, graph colouring and chromatic polynomial problems, the Hamiltonian path and c-min-leaf outbranching, the directed cut, and more generally MSOL-partitioning problems on digraphs. ...

Introduction A variety of plant traits, from architectural to the cellular level, have been connected flammability, but intraspecific variability traits (ITV) and components flammability is poorly studied. The lack knowledge about ITV related appears be a major shortcoming in further interpreting species fire behavior incorporating data into models. Methods Morpho-ecophysiological (width, lengt...

Ultrathin metal coordination Prussian blue (PB) nanoribbons with tunable width have been successfully synthesized. The morphology and microstructure of PB nanoribbons are characterized using UV-vis, FT-IR, AFM, TEM and XRD. PB nanoribbons synthesized possess an ultrathin thickness of approximately 1 nm and narrow width. The width of PB ribbons can be tuned by varying the chain length of polymer...

In recent years, the parameterized complexity approach has lead to the introduction of many new algorithms and frameworks on graphs and digraphs of bounded clique-width and, equivalently, rank-width. However, despite intensive work on the subject, there still exist well-established hard problems where neither a parameterized algorithm nor a theoretical obstacle to its existence are known. Our a...

Leaf architecture directly influences canopy structure, consequentially affecting yield. We discovered a maize (Zea mays) mutant with aberrant leaf architecture, which we named drooping leaf1 (drl1). Pleiotropic mutations in drl1 affect leaf length and width, leaf angle, and internode length and diameter. These phenotypes are enhanced by natural variation at the drl2 enhancer locus, including r...