Graph Theory ??????? Theorem Let G be a simple graph of order n and let ?1?,?2?,,?n? be the eigenvalues of G. The bipartivity of G is ?(G)=?j=1n?exp(?j?)?j=1n?cosh(?j?)?. Let G and H be the graphs shown in the next figure. Which of these graphs is closest to being bipartite? Make the corresponding calculations and argue your answer. solutionspile.com

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Graph Theory  ???????  Theorem  Let G be a simple graph of order n and let ?1?,?2?,,?n? be the eigenvalues of G. The bipartivity of G is ?(G)=?j=1n?exp(?j?)?j=1n?cosh(?j?)?.  Let G and H be the graphs shown in the next figure. Which of these graphs is closest to being bipartite? Make the corresponding calculations and argue your answer. solutionspile.com

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