hw11-2 - Math 412 HW11 Name Due Wednesday Students in...

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Math 412 HW11 5/01/2014 Name: Due Wednesday, May 07, 2014 Students in section X13 (three credit hours) need to solve any three of the following four problems. Students in section X14 (four credit hours) must solve all four problems. 1. Use Kuratowski’s Theorem to prove that the Petersen graph is not planar. 2. # 6.2.7 in the book 3. For any positive k , let G be a simple graph such that d ( x ) + d ( y ) 2 k + 1 for every pair of adjacent vertices x and y . Prove that χ ( G ) k + 1. 4. Let G be a simple graph such that
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  • Spring '13
  • Dr.ZAre
  • Graph Theory, Glossary of graph theory, Graph theory objects, Gabriel Andrew Dirac, Cubic graph

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