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Five girls (A, B, C, D, E) and five boys (V, W, X, Y, Z) are to be married. Their preferences are given as: A: V, W, X, Y, Z B: W, X, Y, Z, V C: Y, Z, W, X, V D: W, Z, Y, V, X E: Z, Y, X, W, V V: A, В, С, D, Е W: A, B, C, D, E X: А, В, С, Е, D Y: B, A, D, C, E Z: C, D, E, A, B а. Decide whether the proposed solution shown below is a stable set of marriages and indicate the "rogue" couple(s) if there are any. (А, W), (В, X), (С, Y), (D, Z), (E, V) b. Find a stable matching by applying the TMA to this problem with the women proposing to the men.

Five girls (A, B, C, D, E) and five boys (V, W, X, Y, Z) are to be married. Their preferences are given as: A: V, W, X, Y, Z B: W, X, Y, Z, V C: Y, Z, W, X, V D: W, Z, Y, V, X E: Z, Y, X, W, V V: A, В, С, D, Е W: A, B, C, D, E X: А, В, С, Е, D Y: B, A, D, C, E Z: C, D, E, A, B а. Decide whether the proposed solution shown below is a stable set of marriages and indicate the "rogue" couple(s) if there are any. (А, W), (В, X), (С, Y), (D, Z), (E, V) b. Find a stable matching by applying the TMA to this problem with the women proposing to the men.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Five girls (A, B, C, D, E) and five boys (V, W, X, Y, Z) are to be married. Their preferences are given as: A: V, W, X, Y, Z B: W, X, Y, Z, V C: Y, Z, W, X, V D: W, Z, Y, V, X E: Z, Y, X, W, V V: A, B, С, D, Е W: A, B, C, D, Е X: А, В, С, Е, D Y: В, А, D, C, Е Z: C, D, E, A, B а. Decide whether the proposed solution shown below is a stable set of marriages and indicate the "rogue" couple(s) if there are any. (A, W), (B, X), (C, Y), (D, Z), (E, V) b. Find a stable matching by applying the TMA to this problem with the women proposing to the men.
Transcribed Image Text:Five girls (A, B, C, D, E) and five boys (V, W, X, Y, Z) are to be married. Their preferences are given as: A: V, W, X, Y, Z B: W, X, Y, Z, V C: Y, Z, W, X, V D: W, Z, Y, V, X E: Z, Y, X, W, V V: A, B, С, D, Е W: A, B, C, D, Е X: А, В, С, Е, D Y: В, А, D, C, Е Z: C, D, E, A, B а. Decide whether the proposed solution shown below is a stable set of marriages and indicate the "rogue" couple(s) if there are any. (A, W), (B, X), (C, Y), (D, Z), (E, V) b. Find a stable matching by applying the TMA to this problem with the women proposing to the men.
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