Sentence examples for minimum sum problem from inspiring English sources

The minimum sum problem is that of minimizing s(G) = ∑∀{ vw }∈ E (G ) c vw over all Π c for given k.

AGLR is actually a problem of finding an optimal labeling which minimizes the total "length" sum of the edges, the minimum sum problem where both a tree and nonnegative integers associated with corresponding leaves of the tree are the input.

Here we would like to formulate the minimum sum problem where both a tree and positive integers associated with some of the leaves of the tree are the input (finding the optimal way of labeling the vertices with nonnegative integers).

Given a uniform k-tuple integer labeling of the leaves of G the minimum sum problem is to find a labeling which minimizes the total sum of the stretches of the edges.

In [ 13] we presented the algorithms to solve the minimum sum problem where both a tree and positive integers associated with all leaves of the tree are the input (finding the optimal way of labeling the vertices with positive integers).

Given a tree G, an integer labeling of the leaves of G p1, …, p n ) = 1, the gain penalty C1, the loss penalty C2, and a cost function θ ((1)–(5)), the minimum sum problem is to find a labeling which minimizes the total cost: (6) S (G ) = min ⁡ π ⁡ ∑ ∀ { v w } ∈ E (G ) φ (π (v ), π (w ) )   over     all     π.

The minimum sum coloring problem (MSCP) is to find a proper k-coloring while minimizing the sum of the colors assigned to the vertices.

In particular, we propose the classical Minimum Leaves Spanning Tree problem as a relevant problem in this field and show its relations with the Minimum Branch Vertices and the Minimum Degree Sum Problems.

By using ([12] Lemma 2), the robust minimum sum-MSE optimization problem [9, 10] can be easily converted into a convex problem.

In particular, in [9, 10], the authors considered the problem of robust minimum sum mean-square error (SMSE) relay precoder design for the two-way relay networking (TWRN).

Crucially, the accounts normally insist you pay in a minimum sum – often £1,000 – every month.