The second smallest normalized Laplacian eigenvalue of unicyclic graphs

Ji Ming Guo; Enying Liu; Jianxi Li; Wai Chee Shiu

doi:10.1007/s40314-024-02817-0

The second smallest normalized Laplacian eigenvalue of unicyclic graphs

Ji Ming Guo^*
, Enying Liu
, Jianxi Li
, Wai Chee Shiu

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

Abstract

In this paper, the unique graph with the minimal second smallest normalized Laplacian eigenvalue of unicyclic graphs with fixed girth is determined.

Original language	English
Article number	285
Number of pages	16
Journal	Computational and Applied Mathematics
Volume	43
Issue number	5
DOIs	https://doi.org/10.1007/s40314-024-02817-0
Publication status	Published - 17 Jun 2024

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User-Defined Keywords

Characteristic polynomial
Normalized Laplacian eigenvalue
Normalized Laplacian matrix
Unicyclic graph

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10.1007/s40314-024-02817-0

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title = "The second smallest normalized Laplacian eigenvalue of unicyclic graphs",

abstract = "In this paper, the unique graph with the minimal second smallest normalized Laplacian eigenvalue of unicyclic graphs with fixed girth is determined.",

keywords = "Characteristic polynomial, Normalized Laplacian eigenvalue, Normalized Laplacian matrix, Unicyclic graph",

author = "Guo, \{Ji Ming\} and Enying Liu and Jianxi Li and Shiu, \{Wai Chee\}",

note = "Partially supported by NSF of China (Nos. 11371372, 11101358); NSF of Fujian (No. 2014J01020); General Research Fund of Hong Kong; Faculty Research Grant of Hong Kong Baptist University. Publisher Copyright: {\textcopyright} The Author(s) under exclusive licence to Sociedade Brasileira de Matem{\'a}tica Aplicada e Computacional 2024.",

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doi = "10.1007/s40314-024-02817-0",

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T1 - The second smallest normalized Laplacian eigenvalue of unicyclic graphs

AU - Guo, Ji Ming

AU - Liu, Enying

AU - Li, Jianxi

AU - Shiu, Wai Chee

N1 - Partially supported by NSF of China (Nos. 11371372, 11101358); NSF of Fujian (No. 2014J01020); General Research Fund of Hong Kong; Faculty Research Grant of Hong Kong Baptist University. Publisher Copyright: © The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional 2024.

PY - 2024/6/17

Y1 - 2024/6/17

N2 - In this paper, the unique graph with the minimal second smallest normalized Laplacian eigenvalue of unicyclic graphs with fixed girth is determined.

AB - In this paper, the unique graph with the minimal second smallest normalized Laplacian eigenvalue of unicyclic graphs with fixed girth is determined.

KW - Characteristic polynomial

KW - Normalized Laplacian eigenvalue

KW - Normalized Laplacian matrix

KW - Unicyclic graph

UR - https://www.scopus.com/pages/publications/85196062094

UR - https://link.springer.com/article/10.1007/s40314-024-02817-0#article-info

U2 - 10.1007/s40314-024-02817-0

DO - 10.1007/s40314-024-02817-0

M3 - Journal article

AN - SCOPUS:85196062094

SN - 2238-3603

VL - 43

JO - Computational and Applied Mathematics

JF - Computational and Applied Mathematics

IS - 5

M1 - 285

ER -

The second smallest normalized Laplacian eigenvalue of unicyclic graphs

Abstract

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