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12 - Hash Tables.pdf
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Page 10
Dictionaries and Hash Tables
19
Performance of
Hashing
In the worst case, searches,
insertions and removals on a
hash table take
O
(
n
)
time
The worst case occurs when
all the keys inserted into the
dictionary collide
The load factor
α
=
n
/
N
affects
the performance of a hash
table
Assuming that the hash values
are like random numbers, it
can be shown that the
expected number of probes
for an insertion with open
addressing is
1
/
(1
−
α
)
The expected running
time of all the dictionary
ADT operations in a hash
table is
O
(1)
In practice, hashing is
very fast provided the
load factor is not close
to 100%
Applications of hash
tables:
small databases
compilers
browser caches
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