Sentence examples for transformed instance from inspiring English sources
In the transformed instance, maximizing the number of elements covered under the set number limitation can be transformed into maximizing the number of recipients subject to the resource budget.
The following theorem justifies that we can concentrate on the transformed instance in order to solve the MWCS problem.
A prize-collecting Steiner tree T in the transformed instance (G, p, c) is a connected subgraph in (G, w) with w(T)= p(T)− w′.
As each allowed vertex has the same degree as originally, we can conclude that Δ a =4 will still hold in the transformed instance.
The score of T is A maximum-weight connected subgraph in (G, w) corresponds to an optimal prize-collecting Steiner tree in the transformed instance (G, p, c).
For example, [23] uses a combination of several (at least three) Harmonic-Chirp transform instances which project the time-frequency energy on different views.
This mathematical programming-based algorithm is currently the fastest way to solve PCST problems to optimality and works very well on the transformed MWCS instances.
However, we show in the rest of this proof that an instance of WMAST can be transformed into an instance of MAST in linear-time, which allows us to consider C as being the best complexity found for MAST, namely the O (n log (n ) ) running-time of the algorithm given in [ 30].
This instance can be transformed into a bidirected instance (V, A) as follows (cf. [43]): Replace core edges e ∈ E with e = { i, j }, i, j ∈ S by two directed arcs ij ∈ A and ji ∈ A with cost c ij = c ji = c e. Since we are modeling an arborescence directed away from the root node, edges { r, j } are replaced by a single arc rj only.
Andreas Papandreou, for instance, transformed Greece's political landscape in the 1980s by introducing social reforms for the poor.
His Wheelers Yard project, for instance, transformed a run down industrial building owned by an old family business that wanted to re-engage its younger family members.
