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Among any group of 4 participants there is one who knows the other three members of the group. 24Graph Theory -Solutions October 1314 2015 The Seven Bridges of K onigsberg In the mid-1700s the was a city named K onigsberg.

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Prove that the sum of the degrees of the vertices of any nite graph is even. If G is a connected graph then the number of bounded faces in any embedding of G on the plane is equal to. Download link is provided. There are n participants in a meeting. This divides the city into two. Clearly the number of non-isomorphic spanning trees is two.

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