
doi: 10.37236/864
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.
Eigenvalues, singular values, and eigenvectors, eigenspaces, Graphs and linear algebra (matrices, eigenvalues, etc.), eigenvalues, counting vertices, bases, cograph, associated cotree
Eigenvalues, singular values, and eigenvectors, eigenspaces, Graphs and linear algebra (matrices, eigenvalues, etc.), eigenvalues, counting vertices, bases, cograph, associated cotree
| 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). | 10 | |
| 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. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
