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Exact(15)
In this paper, we describe the principles and the results of an exact method designed to solve the linear ordering problem for any weighted tournament.
The linear ordering problem consists in finding a linear order at minimum remoteness from a weighted tournament T, the remoteness being the sum of the weights of the arcs that we must reverse in T to transform it into a linear order.
The triangulation problem is equivalent to the linear ordering problem and more efficient algorithms for generating optimal solutions have been proposed in the literature on operations research (Grötschel et al. [1984a]; Laguna et al. [1999]; Mitchell and Borchers [2000]; Chiarini et al. [2004]; Pintea et al. [2009]).
Note that also ∑(N1) and ∑(N2) are circular with respect to π and thus the linear ordering π is by definition a circular ordering for ∑(N1) and ∑(N2) too.
The Linear Ordering Problem is a popular combinatorial optimisation problem which has been extensively addressed in the literature.
In fact, it has as a particular case the linear ordering problem, which is strongly NP-hard.
Similar(45)
The latter technology was key to resolving the linear order of sequence scaffolds in pericentromeric regions.
The transition probabilities describe the linear order in which we expect the states to occur: one or more Es, one 5, one or more Is.
Every manager engages in considerable explicit calculation when he or she acts, and all intuitive thinking must be translated into the linear order of the left if it is to be articulated and eventually put to use.
The goal is to discover the linear order of a two-dimensional ancient script, Hieroglyphic Luwian.
In the linear order natural frequencies and mode shapes are computed.
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