Upper bound on the least eigenvalue of unicyclic graphs

Xu Guanghui

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Volume 15 Issue 3

May 2019

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Article Navigation > Journal of Zhejiang A&F University > 1998 > 15(3): 304-309

Xu Guanghui. Upper bound on the least eigenvalue of unicyclic graphs[J]. Journal of Zhejiang A&F University, 1998, 15(3): 304-309.

Citation:

Xu Guanghui. Upper bound on the least eigenvalue of unicyclic graphs[J]. Journal of Zhejiang A&F University, 1998, 15(3): 304-309.

Upper bound on the least eigenvalue of unicyclic graphs

Xu Guanghui

1.
Zhejiang Forestry College

Received Date: 1997-12-01
Publish Date: 1998-09-01

Abstract

Let G be a simple graph with n vertices and n (G )be the least eigenvalue of G .If G is a unicyclic graph with n vertices , G＊is the graph obtained by joining each vertex of C3 to a vertex with degree one of P k-1 , P k 1-1 , P k 2-1 , respectively , w here k k1 k2 1 , k -k 2 1 ,k +k 1 +k2 = n , then n(G) n(G＊)and the equality holds if and only if G≌ G＊.
- connected graph,
- unicy clic graph,
- induced subtraph,
- characteristic value

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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Upper bound on the least eigenvalue of unicyclic graphs

Xu Guanghui

1. Zhejiang Forestry College

Received Date: 1997-12-01
Publish Date: 1998-09-01

Key words:

Abstract: Let G be a simple graph with n vertices and n (G )be the least eigenvalue of G .If G is a unicyclic graph with n vertices , G＊is the graph obtained by joining each vertex of C3 to a vertex with degree one of P k-1 , P k 1-1 , P k 2-1 , respectively , w here k k1 k2 1 , k -k 2 1 ,k +k 1 +k2 = n , then n(G) n(G＊)and the equality holds if and only if G≌ G＊.

Xu Guanghui. Upper bound on the least eigenvalue of unicyclic graphs[J]. Journal of Zhejiang A&F University, 1998, 15(3): 304-309.

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Xu Guanghui. Upper bound on the least eigenvalue of unicyclic graphs[J]. Journal of Zhejiang A&F University, 1998, 15(3): 304-309.

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