vanessaskye1739 vanessaskye1739

28-09-2017
Mathematics

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What is the size of the largest and smallest numbers of vertices of degree 1 possible in an n-vertex tree, for n > 2?

Respuesta :

11-10-2017

Following the formula: Pn on n+1 vertices {v0, v1, v2, â€¦, vn} With n>2 edges as vertices we know that the component is not a tree. At the same time we know it must contain a cycle. Therefore the size of the vertices is not possible to exceed 2n, and the degree of any vertex in any sub-graph has a minimal value of vn. Therefore the maxim is 2n and the minimum is vn.

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