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Linear Algebra and its Applications
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Linear Algebra and its Applications
Article . 2012
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On the spectral moment of quasi-trees

Authors: Pan, Xiang-Feng; Liu, Xiuguo; Liu, Huiqing;

On the spectral moment of quasi-trees

Abstract

The notion of \(S\)-order of graphs has been studied, but few results are available. The characterizations of the first and the last graphs, in an \(S\)-order, of all trees, all unicyclic graphs with given girth, unicyclic graphs and bicyclic graphs are known, respectively. The paper determines the last and the second last quasi-tree, in an \(S\)-order, in the set, respectively.

Related Organizations
Keywords

Numerical Analysis, Eigenvalues, singular values, and eigenvectors, Algebra and Number Theory, Graphs and linear algebra (matrices, eigenvalues, etc.), quasi-tree, Spectral moment, tree, spectral moment, Discrete Mathematics and Combinatorics, Quasi-tree, Geometry and Topology, Tree

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Top 10%
Top 10%
Average
hybrid