Sentence examples for by a simple path from inspiring English sources

Take generators (gamma _1, ldots, gamma _d) formed by a simple path going from the base point (y_0) to a point (z_i) on the circle bounding the open discs (Delta _i), and by the circle (partial Delta _i).

It should be represented by a simple path P in the de Bruijn graph.

Instead of representing a contig of a species by a simple path, a consensus contig of the species (which has many subspecies) is represented by a component, which is usually a direct acyclic graph (with exception when there is repeat region in the contig) to capture the small variants among the genomes of different subspecies in the same species.

As the genome sequences of subspecies even from the same species are not exactly the same, the consensus contig may not be represented by a simple path in the de Bruijn graph, but may be represented by a component with multiple paths (due to sp-branches) from a source vertex to a single sink vertex, so as to confine the variations of the similar regions in each genome.

A chromosome can be assembled by finding a simple path P = v0 v1 v2… v k connected by edges e1 e2… e k in the overlap graph, visiting no node more than once (Fig. 1F).

However, if a link connected by a pair of genes not a simple path but also connected by other paths, it is possible that dependency of the pair of genes could not be due to this directed link.

Color coding is an algorithmic technique that was first introduced by Alon et al. (1995) to detect a simple path or a cycle of length k in a given graph.

Subsequently, we set C = { v1, v2}, mark v1 and v2 as visited, and build a simple path from vertex i to vertex j passing by v1 and v2.

A simple path means a path where nodes are not repeated so there are no cycles along the path.

However, life rarely takes on such a simple path.

The restriction on colors guarantees that the detected path is a simple path.