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arXiv · 0810.0966

Algebraic Connectivity and Degree Sequences of Trees

Tuerker Biyikoglu·Josef Leydold
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Abstract

We investigate the structure of trees that have minimal algebraic connectivity among all trees with a given degree sequence. We show that such trees are caterpillars and that the vertex degrees are non-decreasing on every path on non-pendant vertices starting at the characteristic set of the Fiedler vector.

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Tuerker Biyikoglu, Josef Leydold. 2008-10-06. Algebraic Connectivity and Degree Sequences of Trees. https://arxiv.org/abs/0810.0966

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