无$$K_{1,4}$$图的生成树，其可还原茎的叶子很少

Pub Date : 2024-02-19 DOI:10.1007/s10998-024-00572-7

Pham Hoang Ha, Le Dinh Nam, Ngoc Diep Pham

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摘要

让 T 是一棵树；度数为 1 的顶点是 T 的叶子，度数至少为 3 的顶点是 T 的分支顶点。T 的可还原干是包含 T 所有分支顶点的最小子树。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Spanning trees of $$K_{1,4}$$ -free graphs whose reducible stems have few leaves

Let T be a tree; a vertex of degree 1 is a leaf of T and a vertex of degree at least 3 is a branch vertex of T. The reducible stem of T is the smallest subtree that contains all branch vertices of T. In this paper, we give some sharp sufficient conditions for $K_{1,4}$-free graphs to have a spanning tree whose reducible stem has few leaves.

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