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Expositionsort

Expositionsort is a term used in computer science to describe a class of sorting methods that sort by progressively exposing elements’ keys across several passes. The idea is to refrain from placing every item in its final position in a single decision, and instead reveal information about the order of elements step by step, allowing previously exposed items to constrain the placement of the remaining ones. The name reflects this notion of “exposing” or “exposition” of order information.

In typical implementations, the algorithm works by performing a sequence of expositions. In each pass, a chosen

Performance of Expositionsort depends on how the expositions are chosen. With a balanced exposition strategy, the

Expositionsort is mainly discussed in theoretical or teaching contexts to illustrate the effect of progressive information

key
or
a
small
set
of
keys
is
exposed,
and
the
input
list
is
partitioned
or
reorganized
so
that
items
with
smaller
exposed
keys
appear
before
those
with
larger
ones.
Items
whose
relative
order
cannot
yet
be
determined
remain
in
an
unexposed
region
for
subsequent
passes.
After
enough
expositions,
every
element
has
a
final,
stable
position.
Stable
variants
preserve
the
relative
order
of
equal
keys,
if
the
exposure
mechanism
is
designed
accordingly.
average
running
time
can
approach
O(n
log
n),
while
pathological
choices
may
degrade
to
O(n^2).
Some
implementations
use
additional
storage
to
realize
a
stable,
multi-pass
variant,
while
in-place
versions
trade
stability
for
space.
revelation
in
sorting,
rather
than
as
a
dominant
practical
algorithm.
See
also
stable
sort,
bucket
sort,
and
quicksort.