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authorDouglas Rumbaugh <dbr4@psu.edu>2025-06-27 15:21:38 -0400
committerDouglas Rumbaugh <dbr4@psu.edu>2025-06-27 15:21:38 -0400
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tree3f7c135b7b32022fa0a9f03361e60cc0cc4f86e0 /chapters/sigmod23/background.tex
parentff528e8595e82802832930fae6c9ccee7afd23cb (diff)
downloaddissertation-fcdbcbcd45dc567792429bb314df53b42ed9f22e.tar.gz
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@@ -226,7 +226,7 @@ structure, a technique called \emph{alias augmentation}~\cite{tao22}. For
example, alias augmentation can be used to construct an SSI capable of
answering WIRS queries in $\Theta(\log n + k)$~\cite{afshani17,tao22}.
This structure breaks the data into multiple disjoint partitions of size
-$\nicefrac{n}{\log n}$, each with an associated alias structure. A B+Tree
+$\nicefrac{n}{\log n}$, each with an associated alias structure. A B+tree
is then built, using the augmented partitions as its leaf nodes. Each
internal node is also augmented with an alias structure over the aggregate
weights associated with the children of each pointer. Constructing this
@@ -266,7 +266,7 @@ following desiderata,
\begin{enumerate}
\item Support data updates (including deletes) with similar average
- performance to a standard B+Tree.
+ performance to a standard B+tree.
\item Support IQS queries that do not pay a per-sample cost
proportional to some function of the data size. In other words,
$k$ should \emph{not} be be multiplied by any function of $n$