Spectral Condition for Spanning k-Ended Trees in t-Connected Graphs

For any integer [Formula: see text], a spanning [Formula: see text]-ended tree is a spanning tree with at most [Formula: see text] leaves. In this paper, we provide tight spectral radius conditions for the existence of a spanning [Formula: see text]-ended tree in [Formula: see text]-connected graphs, which generalizes a result of Ao, Liu and Yuan (2023).

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Publication Details

Journal
Algebra Colloquium
Published
2026-02-27
DOI
https://doi.org/10.1142/s1005386726000039
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
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article

Spectral Condition for Spanning k-Ended Trees in t-Connected Graphs

Jiaxin Zheng, Yi-Xiang Wang, Xueyi Huang
Algebra Colloquium
Graph theory and applications
article

Spectral Condition for Spanning k-Ended Trees in t-Connected Graphs

Jiaxin Zheng, Yi-Xiang Wang, Xueyi Huang
article en

Abstract

For any integer [Formula: see text], a spanning [Formula: see text]-ended tree is a spanning tree with at most [Formula: see text] leaves. In this paper, we provide tight spectral radius conditions for the existence of a spanning [Formula: see text]-ended tree in [Formula: see text]-connected graphs, which generalizes a result of Ao, Liu and Yuan (2023).

Algebra ColloquiumVol. 33(01)
East China University of Science and Technology (CN)
Openalex Percentile: Top 37%
Graph theory and applications
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