On smallest positive eigenvalues of a kind of tree

XU Guang-hui

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Volume 16 Issue 3

Mar. 2019

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Article Navigation > Journal of Zhejiang A&F University > 1999 > 16(3): 308-310

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XU Guang-hui. On smallest positive eigenvalues of a kind of tree[J]. Journal of Zhejiang A&F University, 1999, 16(3): 308-310.

On smallest positive eigenvalues of a kind of tree

XU Guang-hui

1.
Basic Course Division, Zhejiang Forestry College , Lin’an 311300 , China

Received Date: 1998-09-24
Rev Recd Date: 1998-01-04
Publish Date: 1999-09-20

Abstract

Let Kq1, q be a tree on 2q +1 vertices from K1, q by joining a new end-vertex to each vertex with degree one of K1, q .In this paper , the following results are obtained :if T is a tree on 2q +1 vertices with the edge independence number q , when q 2 , q (T)q (Kq1, q), and the equality holds if and only if T Kq1, q , q (Kq1, q)=1 .Furthermore , a similar conjecture is given for the tree on n vertices with edge independence number q .
- tree (mathematics),
- edge independence number,
- eigenvalue,
- smallest positive eigenvalue

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通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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On smallest positive eigenvalues of a kind of tree

XU Guang-hui

1. Basic Course Division, Zhejiang Forestry College , Lin’an 311300 , China

Received Date: 1998-09-24
Rev Recd Date: 1998-01-04
Publish Date: 1999-09-20

Key words:

Abstract: Let Kq1, q be a tree on 2q +1 vertices from K1, q by joining a new end-vertex to each vertex with degree one of K1, q .In this paper , the following results are obtained :if T is a tree on 2q +1 vertices with the edge independence number q , when q 2 , q (T)q (Kq1, q), and the equality holds if and only if T Kq1, q , q (Kq1, q)=1 .Furthermore , a similar conjecture is given for the tree on n vertices with edge independence number q .

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XU Guang-hui. On smallest positive eigenvalues of a kind of tree[J]. Journal of Zhejiang A&F University, 1999, 16(3): 308-310.

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