Question: Please provide a solution to PROBLEM 6 ONLY using simple and undirected graphs. PLEASE DO NOT COPY OTHER SOLUTIONS (Graph Theory Class) Problem 5 (3

Please provide a solution to PROBLEM 6 ONLY using simple and undirected graphs. PLEASE DO NOT COPY OTHER SOLUTIONS (Graph Theory Class)

Please provide a solution to PROBLEM 6 ONLY using

Problem 5 (3 pts). Using Knig-Egervry Theorem, show that every bipartite graph G has a matching of size at least 6). Conclude that every subgraph of Kn,n with greater than (k 1)n eG AG edges has a matching of size at least k. Problem 6 (4 pts). Determine the stable matchings resulting from the Proposal Algorithm run with men proposing and women proposing, for the preference lists given below. Men: {ao, 21, 22, 23, 24} Women: {bo, 61, 62, 63, 64} ao: bo > bi > by > b3 > b4 bo:a, > Qo > az > a4 > a3 aj: b2 > b3 > bi > bo > 64 by: aj > ao > a3 > 24 > 22 az : b3 >b2 > b4 > bi > bo 62 : a3 > az > 24 > ao > ai az : b4 > b3 > bo > bi > 62 63 : ao > az > a3 > Q1 > 24 24 : bi > 64 > bo >b2 > 63 | 64 : ao > a3 > ai > a2 > 24

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