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We survey some recent results on bounds on the minimum and maximum degree of graph that ensure it contains all trees of a fixed size, and corresponding results for digraphs. We also present a number of conjectures and open questions.

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Degree Conditions for Trees in Undirected and Directed Graphs

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  • 发表日期：

    2026年

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  • Maya Stein

摘要

We survey some recent results on bounds on the minimum and maximum degree of graph that ensure it contains all trees of a fixed size, and corresponding results for digraphs. We also present a number of conjectures and open questions.