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Increasing subsequence
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Mathematics
Area of mathematics
Combinatorics
2026-09-28
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An increasing
subsequence
of
a
sequence
x
1
,
…
,
x
n
is
a
sequence
x
i
1
≤
⋯
≤
x
i
m
selected at indices
i
1
<
⋯
<
i
m
.
Table of contents
Longest increasing subsequence
Increasing subsequence
Longest increasing subsequence
(
L
(
x
)
)
0
1
0
Increasing subsequence
A
longest increasing subsequence
is an
increasing subsequence
of maximum
length
. Changing or deleting one term changes its
length
by at most one.
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Combinatorics
Area of mathematics
Mathematics
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