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A Bound on the Number of Leaves in a Spanning Tree of a Connected Graph of Minimum Degree 6

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We prove that a connected graph of minimum degree 6 has a spanning tree such that at least 1121$$ \frac{11\ }{21} $$ of its vertices are leaves. Click to show full abstract

We prove that a connected graph of minimum degree 6 has a spanning tree such that at least 1121$$ \frac{11\ }{21} $$ of its vertices are leaves.

Keywords: bound number; graph minimum; connected graph; minimum degree; spanning tree

Journal Title: Journal of Mathematical Sciences
Year Published: 2018

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