added one transition phrase
as there are no subsubsections now
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@ -97,12 +97,12 @@ $O(h\cdot m)$. In practice, we can almost always find the optimal chain with
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$h=50$; even if the heuristic fails, the optimal chain is often close.
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$h=50$; even if the heuristic fails, the optimal chain is often close.
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%\subsubsection{Backtracking}
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%\subsubsection{Backtracking}
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Let $P(i)$ be the index of the best predecessor of anchor $i$. It equals 0 if
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For backtracking, let $P(i)$ be the index of the best predecessor of anchor
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$f(i)=w_i$ or $\argmax_j\{f(j)+\eta(j,i)-\gamma(j,i)\}$ otherwise. For each
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$i$. It equals 0 if $f(i)=w_i$ or $\argmax_j\{f(j)+\eta(j,i)-\gamma(j,i)\}$
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anchor $i$ in the descending order of $f(i)$, we apply $P(\cdot)$ repeatedly to
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otherwise. For each anchor $i$ in the descending order of $f(i)$, we apply
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find its predecessor and mark each visited $i$ as `used', until $P(i)=0$ or we
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$P(\cdot)$ repeatedly to find its predecessor and mark each visited $i$ as
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reach an already `used' $i$. This way we find all chains with no anchors used
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`used', until $P(i)=0$ or we reach an already `used' $i$. This way we find all
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in more than one chains.
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chains with no anchors used in more than one chains.
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%\subsubsection{Identifying primary chains}
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%\subsubsection{Identifying primary chains}
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In the absence of copy number changes, each query segment should not be mapped
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In the absence of copy number changes, each query segment should not be mapped
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