ComputerScienceExpert

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    Devry
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Category > Programming Posted 23 May 2017 My Price 8.00

Construct a weighting w : E → {1, 2}

Construct a weighting w : E → {1, 2} such that the weighted graph has exactly two distance-trees (shortest-path trees) rooted at a

 

Problem set 3Solve the following questions for the problem session.1.Consider the graphG= (V, E) depicted in Figure 1 below. Construct a weightingw:E → {1,2}such that the weighted graph has exactly two distance-trees (shortest-path trees) rooted at a2.(a) Give an example of a strongly connected simple digraph without adirected Hamiltonianpath.(b) Prove that a connected directed graphGisstrongly connectedif theout-degreed+(v, G) equals the in-degreed−(v, G) at each vertexv.3.(a) Find the six-digit Pr¨ufer code for the following tree(b) Which trees have a code with only one integer occurring?4.Letn ≥1.(a) How many edges has the hypercubeQn?(b) For what values ofn, doesQnhave an Euler circuit?(c) What is the length of the longest path inQn?

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ComputerScienceExpert
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Status NEW Posted 23 May 2017 02:05 AM My Price 8.00

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