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Find the total weight of the path A, B, C, E, F, H, G, D in the weighted graph below.

Find the total weight of the path A, B, C, E, F, H, G, D in the weighted graph below.

Full solution

Q. Find the total weight of the path A, B, C, E, F, H, G, D in the weighted graph below.
  1. Identify Edge Weights: Identify the weights of each edge along the path A,B,C,E,F,H,G,DA, B, C, E, F, H, G, D.
  2. Add ABAB Weight: Add the weight of edge ABAB to the total.\newlineWeight of AB=3AB = 3.
  3. Add BC Weight: Add the weight of edge BC to the total.\newlineWeight of BC = 44.
  4. Add CE Weight: Add the weight of edge CE to the total.\newlineWeight of CE = 22.
  5. Add EF Weight: Add the weight of edge EF to the total.\newlineWeight of EF = 11.
  6. Add FH Weight: Add the weight of edge FH to the total.\newlineWeight of FH = 55.
  7. Add HG Weight: Add the weight of edge HG to the total.\newlineWeight of HG = 22.
  8. Add GD Weight: Add the weight of edge GD to the total.\newlineWeight of GD = 33.
  9. Calculate Total Weight: Calculate the total weight by adding all the individual weights.\newlineTotal weight = 3+4+2+1+5+2+33 + 4 + 2 + 1 + 5 + 2 + 3.
  10. Perform Addition: Perform the addition to find the total weight.\newlineTotal weight = 2020.

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