Sentence examples for edge costs from inspiring English sources

Let G be an undirected graph with two edge costs (c-cost and d-cost).

The edge costs are small, bounded integers which encode known or possible dangers (such as traps or unexplored squares).

In these procurement auctions, agents own the edges of a network, and the corresponding edge costs are private.

This paper considers the CMSTP model, where the edge costs and/or the demands are only approximately known.

For comparison, the 5.5in Samsung Galaxy S7 Edge costs £639, the Google Nexus 6P costs £449 and the Huawei P9 Plus costs £500.

The Note Edge costs approximately £650 without a mobile phone contract, which is £20 more than the Note 4 and £30 more than the iPhone 6 Plus.

We consider the Tree Augmentation problem: given a graph G="(V,E) with edge-costs and a tree T on V disjoint to E, find a minimum-cost edge-subset F⊆E such that T∪F is 2-edge-connected.

The input to such problems is a directed graph G="(V,E) with edge-costs {ce:e∈E} and edge-weights {we:e∈E}, an intersecting supermodular set-function f on V, and degree bounds {b v):v∈B⊆V}.

We present approximation algorithms and hardness results for several variants of this basic problem, e.g., edge-costs vs. vertex-costs, edge-connectivity vs. vertex-connectivity, and 2-connecting a single vertex vs. two distinct vertices from each group.

We show that, in graphs satisfying a sharpened triangle inequality (and even in graphs where edge-costs are restricted to the values 1 and 1+γ for an arbitrary small γ>0), Steiner tree reoptimization still is NP-hard for several different types of local modifications, and even APX-hard for some of them.

The (undirected) Rooted Survivable Network Design (Rooted SND) problem is: given a complete graph on node set V with edge-costs, a root s∈V, and (node- connectivity requiremenode- connectivityfind a minimum cost subgrequirementscontains r(t) internally-disjoint st-paths for all t∈T.