\magnification=1200 \hsize=4in \overfullrule=0pt \input amssym %\def\frac#1 #2 {{#1\over #2}} \def\emph#1{{\it #1}} \def\em{\it} \nopagenumbers \noindent % % {\bf Torsten Sander} % % \medskip \noindent % % {\bf On Certain Eigenspaces of Cographs} % % \vskip 5mm \noindent % % % % 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. \bye .