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We speculate that relatively simple root architecture of plants in flooded systems reflects the need for a minimal path length for oxygen transport from shoots to roots.
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Our first result uses the concept of a minimal path.
This contradicts the fact that B is a minimal path.
Also since it is trivially true that every partially ordered set has a minimal element, we can conclude that G has a minimal path.
Then a minimal path in G, considered as a subgraph of G, has a start set or a cycle.
Then, a minimal path through the matrix is determined and the final value of this minimal path provides a representative cost for the warping of the two trajectories, i.e. the similarity between the two shapes.
Note that the authors took a minimal path without hubs, because the hubs are considered to be unspecific or ubiquitous molecules and thus unimportant or misleading for the method.
A minimal path-set has no subset of components whose functioning alone would ensure system success.
The matrix is used to guide the search for a minimal RSPR path from one tree to the other.
This allowed defining a shorter genomic region of ∼2.9 cM spanning the downy mildew resistance locus Pp523 for the construction of a robust physical map for which a minimal tiling path of 13 BAC clones (BoT01 library) was established.
BACs that matched all consistency criteria were chosen for the calculation of a minimal tiling path.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com