On the nullity of bicyclic graphs

Jianxi Li; An Chang; Wai Chee SHIU

On the nullity of bicyclic graphs

Jianxi Li^*, An Chang, Wai Chee SHIU

^*Corresponding author for this work

Department of Mathematics

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

18 Citations (Scopus)

Abstract

The nullity of a graph is the multiplicity of the eigenvalues zero in its spectrum. In this papers, we obtain the nullity set of n - vertex bicyclic graphs, and characterize the bicyclic graphs with maximal nullity.

Original language	English
Pages (from-to)	21-36
Number of pages	16
Journal	MATCH Communications in Mathematical and in Computer Chemistry
Volume	60
Issue number	1
Publication status	Published - 2008

Scopus Subject Areas

Chemistry(all)
Computer Science Applications
Computational Theory and Mathematics
Applied Mathematics

Cite this

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title = "On the nullity of bicyclic graphs",

abstract = "The nullity of a graph is the multiplicity of the eigenvalues zero in its spectrum. In this papers, we obtain the nullity set of n - vertex bicyclic graphs, and characterize the bicyclic graphs with maximal nullity.",

author = "Jianxi Li and An Chang and SHIU, {Wai Chee}",

note = "Funding Information: ∗ Corresponding author. E-mail address: liubl@scnu.edu.cn (B. Liu). 1 Supported by the Key Project of Chinese Ministry of Education (No. 206156). 2 Supported by NNSF of China (No. 10771080) and SRFDP of China (No. 20070574006).",

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AU - Li, Jianxi

AU - Chang, An

AU - SHIU, Wai Chee

N1 - Funding Information: ∗ Corresponding author. E-mail address: liubl@scnu.edu.cn (B. Liu). 1 Supported by the Key Project of Chinese Ministry of Education (No. 206156). 2 Supported by NNSF of China (No. 10771080) and SRFDP of China (No. 20070574006).

PY - 2008

Y1 - 2008

N2 - The nullity of a graph is the multiplicity of the eigenvalues zero in its spectrum. In this papers, we obtain the nullity set of n - vertex bicyclic graphs, and characterize the bicyclic graphs with maximal nullity.

AB - The nullity of a graph is the multiplicity of the eigenvalues zero in its spectrum. In this papers, we obtain the nullity set of n - vertex bicyclic graphs, and characterize the bicyclic graphs with maximal nullity.

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AN - SCOPUS:46449122480

SN - 0340-6253

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SP - 21

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JO - MATCH Communications in Mathematical and in Computer Chemistry

JF - MATCH Communications in Mathematical and in Computer Chemistry

IS - 1

ER -

On the nullity of bicyclic graphs

Abstract

Scopus Subject Areas

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