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Chinese
Unicyclic Graphs with Nullity One
Received:October 26, 2008
Revised:May 16, 2009
Key Words
:
nullity of graphs
unicyclic graphs
singularity
perfectly matched vertex.
Fund Project
:
Supported by the Project of Talent Introduction for Graduates of Chizhou University (Grant No.2009RC011).
Author Name
Affiliation
Ke Shi QIAN
Department of Mathematics and Computer Science
,
Chizhou University
,
Anhui 247000
,
P. R. China
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Abstract
:
The nullity of a graph $G$ is defined to be the multiplicity of the eigenvalue zero in its spectrum. In this paper we characterize the unicyclic graphs with nullity one in aspect of its graphical construction.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2010.05.007
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