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Also, the author in his dissertation has discussed the connection and duplication problems of various classical orthogonal polynomials.
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One version of the multiple gene duplication problem was defined by Guigó et al. in 1996.
In essence, the ME problem is the multiple gene duplication problem as defined by Guigó et al. (1996).
These new algorithms are inspired by fast local search algorithms for the gene duplication problem [ 36, 37].
The multiple gene duplication problem provides a framework for placing gene duplication events onto nodes of a given species tree, and detecting episodes of multiple gene duplication.
The multiple gene duplication problem provides a framework for (i) mapping gene duplication events onto a given species tree and (ii) inferring and locating multiple gene duplication episodes.
An alternative version of the multiple gene duplication problem was introduced by Fellows et al. (1998b) which they proved to be intrinsically difficult.
For example, it has been observed that a similar decomposition can be achieved in the context of the gene duplication problem [ 37].
Informally, the multiple gene duplication problem is to assign duplication events to nodes in a species trees in such a way that the total number of multiple gene duplication episodes (or simply episodes in short) is minimized.
Essentially, this heuristic approach sought to solve the multiple gene duplication problem of Guigó et al. by solving instead a similar problem which we refer to as the 'episode clustering' problem.
Here we introduce a new intron-primed exon-crossing (IPEC) method in an attempt to overcome this duplication problem, and also evaluate different priming methods for SNP discovery in Atlantic salmon (Salmo salar) and other salmonids.
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