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To construct a phylogenetic tree or phylogenetic network for describing the evolutionary history of a set of species is a well-studied problem in computational biology. One previously proposed method to infer a phylogenetic tree/network for a large set of species is by merging a collection of known smaller phylogenetic trees on overlapping sets of species so that no (or as little as possible) branching information is lost. However, little work has been done so far on inferring a phylogenetic tree/network from a specified set of trees when in addition, certain evolutionary relationships among the species are known to be highly unlikely. In this paper, we consider the problem of constructing a phylogenetic tree/network which is consistent with all of the rooted triplets in a given set $\mathcal{C}$ and none of the rooted triplets in another given set $\mathcal{F}$. Although NP-hard in the general case, we provide some efficient exact and approximation algorithms for a number of biologically meaningful variants of the problem. [ABSTRACT FROM AUTHOR]

In this paper, a fast low power scheduling algorithm is presented for high-level synthesis with multiple voltages. The resources are assumed to operate at different voltages and their power consumption and delay for each voltage level is known in advance. The proposed methodology achieves maximal power reduction of functional units by identifying the maximal available parallelism of power hungry operators in an initial schedule. The proposed methodology is developed in the framework of a modified stochastic evolution mechanism in order to tame the computational complexity. The proposed scheduling technique is extremely fast and it runs in quadratic complexity in the number of the nodes in the data flow graph of the design. This is the fastest reported time of scheduling algorithms for resource-and-latency constrained scheduling with resources operating at multiple voltages. The algorithm produces results within accuracy of 3%–5% of the linear programming method. [ABSTRACT FROM AUTHOR]