Minimum-spanning-tree problem for lp formulation

Assignment Help Basic Computer Science

Reference no: EM1362833

Let G = (V, E) be a connected, undirected graph. For each edge e E, we have a cost weight ce. The minimum-spanning-tree problem is to find an acyclic subset T + E that connects all of the vertices and whose total weight c(T ) = ce is minimized.

1. Formulate this problem as a linear program. Show the correctness of your formulation.

2. Write down the dual of your LP formulation.

Reference no: EM1362833

Questions Cloud

Internal auditors-forensic accounting investigations : How should internal auditors help, if at all, with forensic accounting investigations?

What magnitude f is needed for the decelerating force : A luge and its rider, with a total mass of 82 kg, emerge from a downhill track onto a horizontal straight track with an initial speed of 43 m/s. Assume that they stop with the constant deceleration of 3.2 m/s2.

Annual increase in income realized : Your firm has $45.0 million invested in accounts receivable, which is 90 days of net revenues. If this value could be reduced to 50 days, what annual increase in income would your firm realize if the increase in cash could be invested at 7.5 perce..

Was the supervisor guilty of sexual harassment : Was the supervisor guilty of sexual harassment and did the employer take an adverse employment action against the employee?

Minimum-spanning-tree problem for lp formulation : The minimum-spanning-tree problem is to find an acyclic subset T + E that connects all of the vertices and whose total weight c(T ) = ce is minimized. Write down the dual of your LP formulation.

Efficient market hypothesis : There are three versions of the efficient market hypothesis: the weak form EMH, the semi-strong form EMH, and the strong-form EMH. Describe each form.

Explain a firm solve this pricing problem to maximise profit : Explain how does a firm solve this pricing problem to maximise profits. Explain, using a diagram to support your answer.

Food production and food consumption : What should the role of government be in influencing our dietary decisions? Should there be set nutritional standards in regards to food production and food consumption?

Viewpoints of classical and keynesian economists : Describe the viewpoints of classical and Keynesian economists and which theory is more appropriate for the economy today

User Account

All Pages