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\lhead{HW Chap. 4\\\ \\\ }
\rhead{Josh Holtrop\\2008-12-03\\CS 677}
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\noindent
\begin{enumerate}
\item[1.]{
    In store-and-forward communication, the communication cost is given by
    $$T_{\mathrm{comm}} = t_s + (t_h + mt_w)\ell = t_s + \ell t_h + \ell mt_w$$
    In cut-through routing, the communication cost is given by
    $$T_{\mathrm{comm}} = t_s + \ell t_h + mt_w$$
    Since the ``header'' is the only part of the communication that is
    encountering overhead for the $\ell$ links in the communication network,
    cut-through routing can save communication time on the order of
    $(\ell - 1) mt_w$.
    Obviously, this makes cut-through routing only advantageous on
    architectures with $\ell > 1$, meaning non-fully-connected networks.
}

\vskip 1em
\item[2.]{
    Assume that $p \leq n$ and if any process $i$ owns more than one row of
    the matrix, then the rows that it owns are contiguous.
    Then, for each process $p$, a gather operation is
    performed.
}


\end{enumerate}

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