Question

5. For the circuit shown below, apply the Kernighan-Lin algorithm to generate a two-way balanced partition. The initial partition is A = {1, 2, 3, 4} and B - {5, 6, 7, 8}. You can guess the optimum partition for this example; does the Kernighan-Lin algorithm generate the optimum? What is the balanced partition of the circuit that has the maximum value of cutset?

          5. For the circuit shown below, apply the Kernighan-Lin algorithm to generate a two-way
balanced partition. The initial partition is A = {1, 2, 3, 4} and B - {5, 6, 7, 8}. You can
guess the optimum partition for this example; does the Kernighan-Lin algorithm generate
the optimum? What is the balanced partition of the circuit that has the maximum value of
cutset?

5. For the circuit shown below, apply the Kernighan-Lin algorithm to generate a two-way
balanced partition. The initial partition is A = 1, 2, 3, 4 and B - 5, 6, 7, 8. You can
guess the optimum partition for this example; does the Kernighan-Lin algorithm generate
the optimum? What is the balanced partition of the circuit that has the maximum value of
cutset?

Added by Christopher W.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Richelle Chappell

Step 1

- Count the number of such edges to determine the initial cutset. Step 3: **Calculate Gains for Possible Swaps** - For each pair of nodes (one from \( A \) and one from \( B \)), calculate the gain if they were swapped. - Gain is calculated as: \[ g(i, j) = Show more…

Show all steps

Thanks for your feedback!

please solve this problem 5. For the circuit shown below,apply the Kernighan-Lin algorithm to generate a two-way balanced partition.The initial partition is A={1,2,3,4} and B-{5,6,7,8}.You can guess the optimum partition for this example; does the Kernighan-Lin algorithm generate the optimum? What is the balanced partition of the circuit that has the maximum value of cutset?