Index

9-1-1
1.
abstract data type
see interface
adjacency list
12.2
adjacency matrix
12.1
algorithmic complexity attack
5.4
amortized cost
1.5.0.0.1
amortized running time
1.5
ancestor
6.
array
circular
2.3
ArrayDeque
2.4
ArrayQueue
2.3
arrays
2.
ArrayStack
2.1
asymptotic notation
1.3.3
AVL tree
9.4
$ B^*$-tree
14.3
$ B^+$-tree
14.3
$ B$-tree
14.2
backing array
2.
Bag
1.8
BDeque
3.3
Bibliography on Hashing
5.4
big-Oh notation
1.3.3
binary heap
10.
binary logarithm
1.3.1
binary search
13.2 | 14.2.1
binary search tree
6.2
height balanced
9.4
partial rebuilding
8.
random
7.1
randomized
7.3
red-black
9.
size-balanced
6.3
versus skiplist
4.5
binary search tree property
6.2
binary tree
6.
complete
10.1
heap-ordered
10.1
search
6.2
binary-tree traversal
6.1.2
BinaryHeap
10.1
BinarySearchTree
6.2
BinaryTree
6.1
BinaryTrie
13.1
binomial coefficients
1.3.2
binomial heap
10.3
bitwise and
1.6
black node
9.2
black-height property
9.2
block
14. | 14.
block store
14.1
BlockStore
14.1
borrow
14.2.3
bounded deque
3.3
BPlusTree
14.3
breadth-first traversal
6.1.2
breadth-first-search
12.3.1
celebrity
see universal sink
ChainedHashTable
5.1
chaining
5.1
child
6.
left
6.
right
6.
circular array
2.3
coin toss
1.3.4 | 4.4
collision resolution
5.4
colour
9.2
$ \ensuremath{\mathrm{compare}(\ensuremath{\mathit{x}},\ensuremath{\mathit{y}})}$
1.2.4
comparison tree
11.1.4
comparison-based sorting
11.1
complete binary tree
10.1
complexity
space
1.5
time
1.5
conflict graph
12.
connected components
12.4
connected graph
12.4
contact list
1.
correctness
1.5
CountdownTree
8.2
counting-sort
11.2.1
credit invariant
14.2.4
credit scheme
8.1.1 | 14.2.4
CubishArrayStack
2.7
cuckoo hashing
5.4
cycle
12.
cycle detection
12.3.2
DaryHeap
10.3
$ \ensuremath{\mathrm{decrease\_key}(\ensuremath{\mathit{u}},\ensuremath{\mathit{y}})}$
10.3
degree
12.2
dependencies
1.7
depth
6.
depth-first-search
12.3.2
deque
1.2.1
bounded
3.3
descendant
6.
dictionary
1.2.3
directed edge
12.
directed graph
12.
disk access model
14.3
div operator
1.6 | 1.6
divide-and-conquer
11.1.1
DLList
3.2
doubly-linked list
3.2
DualArrayDeque
2.5
dummy node
3.2
Dyck word
1.8
DynamiteTree
8.2
$ e$ (Euler's constant)
1.3.1
edge
12.
emergency services
1.
Euler's constant
1.3.1
expected cost
1.5.0.0.2
expected running time
1.3.4 | 1.5
expected value
1.3.4
exponential
1.3.1
Ext4
14.3
external memory
14.
external memory hashing
14.3
external memory model
14.
external storage
14.
Eytzinger's method
10.1
factorial
1.3.2
family tree
6.3
FastArrayStack
2.2
Fibonacci heap
10.3
FIFO queue
1.2.1
file system
1.
finger
4.5 | 7.3
finger search
in a skiplist
4.5
in a treap
7.3
fusion tree
13.4
general balanced tree
8.2
git
Why
Google
1.1.0.0.3
graph
12.
connected
12.4
strongly-connected
12.4
undirected
12.4
$ H_k$ (harmonic number)
7.1
hard disk
14.
harmonic number
7.1
hash code
5. | 5.3
for arrays
5.3.2
for compound objects
5.3.2
for primitive data
5.3.1
for strings
5.3.2
hash function
perfect
5.4
hash table
5.
cuckoo
5.4
two-level
5.4
hash value
5.1
$ \ensuremath{\mathrm{hash}(\ensuremath{\mathit{x}})}$
5.1
hashing
multiplicative
5.1.1 | 5.4
multiply-add
5.4
tabulation
7.3
universal
5.4
hashing with chaining
5.1 | 5.4
heap
10.
binary
10.
binomial
10.3
Fibonacci
10.3
leftist
10.3
pairing
10.3
skew
10.3
heap order
10.1
heap property
7.2
heap-ordered binary tree
10.1
heap-sort
11.1.3
height
in a tree
6.
of a skiplist
4.1
of a tree
6.
height-balanced
9.4
hexadecimal numbers
5.2.3
HFS+
14.3
I/O model
14.3
in-order number
6.3
in-order traversal
6.3
in-place algorithm
11.3
incidence matrix
12.4
indicator random variable
1.3.4
integer division
1.6
interface
1.2
Java Collections Framework
1.8
leaf
6.
left child
6.
left rotation
7.2
left shift
1.6
left-leaning property
9.2.2
left-leaning red-black tree
9.2.2
leftist heap
10.3
LIFO queue
1.2.1 | see alsostack
linear probing
5.2
LinearHashTable
5.2
linearity of expectation
1.3.4
linked list
3.
doubly-
3.2
singly-
3.1
space-efficient
3.3
unrolled
see alsoSEList
List
1.2.2
logarithm
1.3.1
binary
1.3.1
natural
1.3.1
lower-bound
11.1.4
map
1.2.3
matched string
1.8
MeldableHeap
10.2
$ \ensuremath{\mathrm{memcpy}(\ensuremath{\mathit{d}},\ensuremath{\mathit{s}},\ensuremath{\mathit{n}})}$
2.2
merge
9.1.2 | 14.2.3
merge-sort
3.4 | 11.1.1
min-wise independence
7.3
MinDeque
3.4
MinQueue
3.4
MinStack
3.4
mod operator
1.6
modular arithmetic
2.3
multiplicative hashing
5.1.1 | 5.4
multiply-add hashing
5.4
natural logarithm
1.3.1
no-red-edge property
9.2
NTFS
14.3
number
in-order
6.3
post-order
6.3
pre-order
6.3
$ O$ notation
1.3.3
open addressing
5.2 | 5.4
Open Source
Why
ordered tree
6.
pair
1.2.3
pairing heap
10.3
palindrome
3.4
parent
6.
partial rebuilding
8.
path
12.
pedigree family tree
6.3 | 10.3
perfect hash function
5.4
perfect hashing
5.4
permutation
1.3.2
random
7.1
pivot element
11.1.2
planarity testing
12.4
post-order number
6.3
post-order traversal
6.3
potential
2.5.1
potential method
2.5.1 | 3.3.5 | 9.3
pre-order number
6.3
pre-order traversal
6.3
prime field
5.3.3
priority queue
1.2.1 | see alsoheap
probability
1.3.4
pseudocode
1.6
queue
FIFO
1.2.1
LIFO
1.2.1
priority
1.2.1
quicksort
11.1.2
radix-sort
11.2.2
RAM
1.4
random binary search tree
7.1
random permutation
7.1
randomization
1.3.4
randomized algorithm
1.3.4
randomized binary search tree
7.3
randomized data structure
1.3.4
RandomQueue
2.7
reachable vertex
12.
recursive algorithm
6.1.1
red node
9.2
red-black tree
9. | 9.2.2
RedBlackTree
9.2.2
remix
Why
right child
6.
right rotation
7.2
right shift
1.6
rooted tree
6.
RootishArrayStack
2.6
rotation
7.2
run
5.2.1
running time
1.5
amortized
1.5
expected
1.3.4 | 1.5
worst-case
1.5
scapegoat
8.
ScapegoatTree
8.1
search path
in a binary search tree
6.2.1
in a BinaryTrie
13.1
in a skiplist
4.1
secondary structure
13.3
SEList
3.3
sentinel node
4.1
Sequence
8.2
share
Why
simple path/cycle
12.
singly-linked list
3.1
size-balanced
6.3
skew heap
10.3
skiplist
4.1
versus binary search tree
4.5
SkiplistList
4.3
SkiplistSSet
4.2
SLList
3.1
social network
1.
solid-state drive
14.
sorting algorithm
comparison-based
11.1
sorting lower-bound
11.1.4
source
12.
space complexity
1.5
spanning forest
12.4
speciation event
6.3
species tree
6.3
split
9.1.1 | 14.2.2
SSet
1.2.4
stable sorting algorithm
11.2.1
stack
1.2.1
$ \ensuremath{\mathrm{stdcopy}(\ensuremath{\mathit{a_0}},\ensuremath{\mathit{a_1}},\ensuremath{\mathit{b}})}$
2.2
Stirling's Approximation
1.3.2
stratified tree
13.4
string
matched
1.8
strongly-connected graph
12.4
successor search
1.2.4
swap
1.6
$ \ensuremath{\mathrm{System}.\mathrm{arraycopy}(\ensuremath{\mathit{s}},\ensure...
...t{i}},\ensuremath{\mathit{d}},\ensuremath{\mathit{j}},\ensuremath{\mathit{n}})}$
2.2
tabulation hashing
5.2.3 | 7.3
target
12.
tiered-vector
2.7
time complexity
1.5
traversal
breadth-first
6.1.2
in-order
6.3
of a binary tree
6.1.2
post-order
6.3
pre-order
6.3
Treap
7.2
TreapList
7.3
tree
6.
$ d$-ary
10.3
binary
6.
ordered
6.
rooted
6.
tree traversal
6.1.2
Treque
2.7
two-level hash table
5.4
underflow
14.2.3
undirected graph
12.4
universal hashing
5.4
universal sink
12.4
unrolled linked list
see alsoSEList
USet
1.2.3
van Emde Boas tree
13.4
vertex
12.
wasted space
2.6.2
web search
1.
WeightBalancedTree
8.2
word
1.4
word-RAM
1.4
worst-case running time
1.5
XFastTrie
13.2
XOR-list
3.4
YFastTrie
13.3



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