h4 - o p q r 3. Prove that the output of INTERVAL-CLIQUE is...

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MATH 4171 Graph Theory SPRING 2006 Homework Set IV (4 problems) Due date : Monday 3-20-06 1. Let G = ( X,Y,E ) be an r -regular ( r > 0) bipartite graph. Prove that G has a perfect matching. 2. Find a maximum matching in the following graph. Prove the optimality by using Theorem 9.6. a b c d e f g h i j k l m n
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Unformatted text preview: o p q r 3. Prove that the output of INTERVAL-CLIQUE is a maximum clique. 4. Find a shortest closed walk that use each edge at least once. Justify the optimality of your solution. e a b c d Important No Late Homework Will be Accepted...
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