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Electronic Journal of Combinatorics
Article . 2008 . Peer-reviewed
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On Certain Eigenspaces of Cographs

On certain eigenspaces of cographs
Authors: Torsten Sander;

On Certain Eigenspaces of Cographs

Abstract

For every cograph there exist bases of the eigenspaces for the eigenvalues $0$ and $-1$ that consist only of vectors with entries from $\{0, 1, -1\}$, a property also exhibited by other graph classes. Moreover, the multiplicities of the eigenvalues $0$ and $-1$ of a cograph can be determined by counting certain vertices of the associated cotree.

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Keywords

Eigenvalues, singular values, and eigenvectors, eigenspaces, Graphs and linear algebra (matrices, eigenvalues, etc.), eigenvalues, counting vertices, bases, cograph, associated cotree

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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!
10
Average
Top 10%
Average
gold