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- W4311414820 abstract "For integer $kgeq2,$ a spanning $k$-ended-tree is a spanning tree with at most $k$ leaves. Motivated by the closure theorem of Broersma and Tuinstra [Independence trees and Hamilton cycles, J. Graph Theory 29 (1998) 227--237], we provide tight spectral conditions to guarantee the existence of a spanning $k$-ended-tree in a connected graph of order $n$ with extremal graphs being characterized. Moreover, by adopting Kaneko's theorem [Spanning trees with constraints on the leaf degree, Discrete Appl. Math. 115 (2001) 73--76], we also present tight spectral conditions for the existence of a spanning tree with leaf degree at most $k$ in a connected graph of order $n$ with extremal graphs being determined, where $kgeq1$ is an integer." @default.
- W4311414820 created "2022-12-26" @default.
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- W4311414820 date "2022-12-11" @default.
- W4311414820 modified "2023-09-24" @default.
- W4311414820 title "Spectral radius and spanning trees of graphs" @default.
- W4311414820 doi "https://doi.org/10.48550/arxiv.2212.05455" @default.
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