### Abstract

Original language | English |
---|---|

Pages (from-to) | 2131-2135 |

Journal | Linear Algebra and Its Applications |

Volume | 429 |

Issue number | 8-9 |

DOIs | |

Publication status | Published - 2008 |

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### Cite this

*Linear Algebra and Its Applications*,

*429*(8-9), 2131-2135. https://doi.org/10.1016/j.laa.2008.06.008

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*Linear Algebra and Its Applications*, vol. 429, no. 8-9, pp. 2131-2135. https://doi.org/10.1016/j.laa.2008.06.008

**A lower bound for the Laplacian eigenvalues of a graph : Proof of a conjecture by Guo.** / Brouwer, A.E.; Haemers, W.H.

Research output: Contribution to journal › Article › Academic › peer-review

TY - JOUR

T1 - A lower bound for the Laplacian eigenvalues of a graph : Proof of a conjecture by Guo

AU - Brouwer, A.E.

AU - Haemers, W.H.

PY - 2008

Y1 - 2008

N2 - We show that if µj is the jth largest Laplacian eigenvalue, and dj is the jth largest degree (1 = j = n) of a connected graph G on n vertices, then µj = dj - j + 2 (1 = j = n - 1). This settles a conjecture due to Guo. © 2008 Elsevier Inc. All rights reserved.

AB - We show that if µj is the jth largest Laplacian eigenvalue, and dj is the jth largest degree (1 = j = n) of a connected graph G on n vertices, then µj = dj - j + 2 (1 = j = n - 1). This settles a conjecture due to Guo. © 2008 Elsevier Inc. All rights reserved.

U2 - 10.1016/j.laa.2008.06.008

DO - 10.1016/j.laa.2008.06.008

M3 - Article

VL - 429

SP - 2131

EP - 2135

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

SN - 0024-3795

IS - 8-9

ER -