Spanning trees for many different numbers of leaves

Let $G$ be a connected graph and $L(G)$ the set of all integers $k$ such that $G$ contains a spanning tree with exactly $k$ leaves. We show that for a connected graph $G$, the set $L(G)$ is contiguous. It follows from work of Chen, Ren, and Shan that every connected and locally connected $n$-vertex...

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Bibliographic Details
Main Authors: Kenta Noguchi, Carol T. Zamfirescu
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2024-11-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:http://dmtcs.episciences.org/13116/pdf
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