\input zb-basic
\input zb-ioport
\iteman{io-port 06093164}
\itemau{Chen, Xiaogen; Xie, Wanwen}
\itemti{Energy of a hypercube and its complement.}
\itemso{Int. J. Algebra 6, No. 13-16, 799-805 (2012).}
\itemab
Summary: Let $\bar Q_n$ denote the complement of $n$-dimensional hypercube $Q_n$, and let $E(G)$ and $LE(G)$ denote, respectively, the (ordinary) energy and Laplacian energy of a graph $G$. We obtain $$\align LE(Q_n) &= E(Q_n) = 2\lceil\frac{n}{2}\rceil\binom n{\lceil\frac{n}{2}\rceil}\\ \intertext{and} LE(\bar Q_n) &= E(\bar Q_n) = (n + 1) \binom n{\lceil\frac{n}{2}\rceil} + 2^n - 2^n - 2, \endalign$$ where $n\geq 1$.
\itemrv{~}
\itemcc{}
\itemut{graph complement; hypercube; eigenvalues; energy of graph; Laplacian energy of graph}
\itemli{http://www.m-hikari.com/ija/ija-2012/ija-13-16-2012/index.html}
\end