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Technically, this requires to install two inverse transposition towers at the beginning and the end positions of section C. Generally, the current unbalance can be reduced by different topology changes or their combinations.
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The CREx program models rearrangements involving transpositions, inversions, inverse transpositions as well as TDRLs (Moritz et al. 1987; Boore 2000; Dowton and Campbel 2001).
Studies of metazoan mtDNA have revealed a large degree of variation in gene order that can be explained by multiple rearrangement events as inversions, transpositions, inverse transpositions (for details see [ 47]).
Inversion, inversed transposition, and transposition are "reversible" rearrangements because they do not assign the changes a chronological order and, thus, cannot be used alone to define the plesiomorphic/apomorphic status of opposite transformational pathways (i.e., GO1 GO2 vs. GO2 GO1) occurring between two GOs.
In contrast, inversions and inverse-transpositions have not been found in the analysed gene orders, which excluded the two Dothideomycete species.
This observation could be related to the inverse correlation between transposition and recombination previously observed in Drosophila, which could be explained by selection against transposable element insertions (Rizzon et al. 2002).
The superscripts "T" and "−1" stand for matrix transposition and inverse, respectively.
As we can see, this computation requires both transposition and inverse operations of very big non-circulant (in the SV case) matrices.
These rearrangements include inversions and transpositions.
The superscripts ⊺ and −1 stand for matrix transposition and matrix inverse, respectively.
The superscripts T and ((-1) ) stand for matrix transposition and matrix inverse, respectively; (mathbb{R}^{n}) denotes the n-dimensional Euclidean space; (I_{l}) means the l-dimensional identity matrix.
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