How can we help?

You can also find more resources in our Help Center.

Study sets matching "binary trees"

Study sets
Classes
Users

Study sets matching "binary trees"

12 terms
binary trees
height of a full binary tree
number of nodes of a full binary tree
in general for any binary tree n is le…
number of a node's chidren
log2(n+1)-1
2^(h+1)-1
2^(h+1)-1, h+1
degree
height of a full binary tree
log2(n+1)-1
number of nodes of a full binary tree
2^(h+1)-1
11 terms
Binary Trees
Test a Binary Tree
Heap
Removal of item in Heap
Insert in a Heap
use In order traversal... after several deletions and insertions…
is a complete Binary Tree... it's root holds the Minimum element…
Remove Root node... replace Root with LIH(last in heap)... while(LI…
Insert into last space in heap or bottom... while (Node > paren…
Test a Binary Tree
use In order traversal... after several deletions and insertions…
Heap
is a complete Binary Tree... it's root holds the Minimum element…
13 terms
Binary Trees
Binary Trees
Implementation Strategies
Node-and-link based
Array based
Order of 2
Node-and-link based; Array based
Implementation matches our conceptual picture of what a tree…
Implementation could use far too much space; store the root a…
Binary Trees
Order of 2
Implementation Strategies
Node-and-link based; Array based
16 terms
Binary Trees and B-Trees
LT and RT
Struct of Binary tree node
Height of a binary tree
Copy tree
Subtree names
Template <class elemType>... {... elemType info;... Struct binaryTreeN…
Count the nodes from the root to the lowest child
Shallow Copy of binary tree
LT and RT
Subtree names
Struct of Binary tree node
Template <class elemType>... {... elemType info;... Struct binaryTreeN…
22 terms
Binary tree
Binary Tree
Root
Left subtree
Right subtree
Finite set of nodes that is either empty and consists of a ro…
The first node in a binary tree which contains two trees link…
A subtree on the left of its parent and has to be less than o…
A subtree that is larger than its parent tree.
Binary Tree
Finite set of nodes that is either empty and consists of a ro…
Root
The first node in a binary tree which contains two trees link…
26 terms
Binary Tree
public class BinaryTree<E> {
BinaryTree(){
BinaryTree(E item){
BinaryTree(E item, BinaryTree<E> left,…
protected E data;... protected BinaryTree<E> left,right;
data = null;... left = right = null;... }
data = item;... left = new BinaryTree<E>();... right = new Binary…
data = item;... this.left = left;... this.right = right;... }
public class BinaryTree<E> {
protected E data;... protected BinaryTree<E> left,right;
BinaryTree(){
data = null;... left = right = null;... }
103 terms
Binary Tree
Binary Tree Introduction
Handshaking Lemma and Interesting Tree…
Binary Tree Properties
Types of Binary Tree
...
...
...
...
Binary Tree Introduction
...
Handshaking Lemma and Interesting Tree…
...
61 terms
Binary tree
Root
Each arrow is
Child
Parent
The top node in a tree
link
A node directly connected to another node when moving away fr…
A node directly connected to another node when moving towards…
Root
The top node in a tree
Each arrow is
link
27 terms
Tree/Binary Tree/BST
Tree
Binary Tree and it's major operations
preorder
postorder
empty, or it has a node called the root, followed by zero or…
preorder, inorder, postorder, level-order, height, and Size (…
left child, root, right child
children, then root
Tree
empty, or it has a node called the root, followed by zero or…
Binary Tree and it's major operations
preorder, inorder, postorder, level-order, height, and Size (…
17 terms
Binary Search Trees
Binary Search Tree
Root
Smaller
Larger
(what) are linked structures that are designed to address som…
The BST has a (what) node analogous to the head pointer in a…
Data in the BST is ordered such that the data in all children…
Data in the BST is ordered such that the data in all children…
Binary Search Tree
(what) are linked structures that are designed to address som…
Root
The BST has a (what) node analogous to the head pointer in a…
10 terms
Chapter 19 Binary Trees
root
children
leaf
subtree
The first node in a binary tree is called the _______.
A binary tree node's left and right pointers point to the nod…
A node with no children is called a(n) _____.
A(n) _______ is an entire branch of the tree, from one partic…
root
The first node in a binary tree is called the _______.
children
A binary tree node's left and right pointers point to the nod…
9 terms
Binary Search/ Binary Search Tree
What kind of search is swift built-in…
What's the performance of binary search?
What's the downside of binary search?
What is the key property of binary sea…
In Swift, .indexOf() is linear search.
O(logn)
The array needs to be sorted.
Sorted. Left child always smaller than right child.
What kind of search is swift built-in…
In Swift, .indexOf() is linear search.
What's the performance of binary search?
O(logn)
15 terms
Binary Search Trees
B. binary search tree
A. length
B. depth
C. height
A __________ (with no duplicate elements) has the property th…
The ________ of a path is the number of the edges in the path.
The _______ of a node is the length of the path from the root…
The _______ of a nonempty tree is the length of the path from…
B. binary search tree
A __________ (with no duplicate elements) has the property th…
A. length
The ________ of a path is the number of the edges in the path.
19 terms
Binary Search Trees
There are n nodes in a tree. How many…
Run time for in order tree walk
Describe in order tree walk
Run time for tree search
n-1
theta(n). Every node is traversed once.
Print left subtree, node, and right subtree
order(h), where log(n) <= h <= n
There are n nodes in a tree. How many…
n-1
Run time for in order tree walk
theta(n). Every node is traversed once.
21 terms
CSC 112 Binary Trees
Tree
Nodes
edges
hierarchical structure
structure consist of nodes and edges that organize data in a…
where the data elements are stored
connects the nodes represents the relationship between the no…
resembles an upside down tree complete with branches leaves a…
Tree
structure consist of nodes and edges that organize data in a…
Nodes
where the data elements are stored
42 terms
Data Structures - Binary Trees
The element at the top of the hierarch…
Elements after a root node in the hier…
Elements after a child node in the hie…
Nodes that have no children are ______…
root
children
grandchildren
leaves
The element at the top of the hierarch…
root
Elements after a root node in the hier…
children
17 terms
Binary search trees
Root node
Parent node
Child node
Leaf
Top node in the tree
Node that points to one or two nodes below it
Nose being pointed to by a parent
Node with no children
Root node
Top node in the tree
Parent node
Node that points to one or two nodes below it
40 terms
Binary search trees/Recursion
False
root pointer
True
nodes in a binary tree have two succes…
True/False: The number of nodes in a binary tree is the numbe…
The ________ in a binary tree is analogous to the head pointe…
True/False: A subtree is the collection of some node, togethe…
The main difference between a binary tree and a linked list i…
False
True/False: The number of nodes in a binary tree is the numbe…
root pointer
The ________ in a binary tree is analogous to the head pointe…
16 terms
ComputerScience-BinaryTree
Binary Tree
Children
Complete Tree
Full Tree
A data structure that consists of nodes, with one root node a…
The term used in binary trees to indicate a node that extends…
A binary tree in which there are no missing nodes when lookin…
A binary tree in which every level of the tree is completely…
Binary Tree
A data structure that consists of nodes, with one root node a…
Children
The term used in binary trees to indicate a node that extends…
18 terms
Binary Search Trees
Advantage over Hash tables
How to represent an ordered map
Ordered map: Advantages = access
Ordered map: Disadvantages = insertion…
Hash tables are fast (on average) and quite useful, but they…
Two obvious choices are a sorted array (or arraylist) and a s…
Either representation will implement the operations (firstEnt…
Unfortunately, put and remove are O(n) time, because you need…
Advantage over Hash tables
Hash tables are fast (on average) and quite useful, but they…
How to represent an ordered map
Two obvious choices are a sorted array (or arraylist) and a s…
8 terms
Binary Search Trees
BST Operations:
Preorder Traversal:
Inorder Traversal:
Postorder Traversal:
contains... get... remove... add... reset... getNext... isEmpty... size
Root then Left then Right
Left then Root then Right
Left then Right then Root
BST Operations:
contains... get... remove... add... reset... getNext... isEmpty... size
Preorder Traversal:
Root then Left then Right
15 terms
CSE 100 - Binary Search Trees
Insert Run-time for Binary Search Tree…
Insert Run-time for Binary Search Tree…
Find Run-time for Binary Search Tree,…
Find Run-time for Binary Search Tree,…
log[N]
N
log[N]
N
Insert Run-time for Binary Search Tree…
log[N]
Insert Run-time for Binary Search Tree…
N
24 terms
Binary Trees, Binary Search Trees (BSTs), and Tree Traversals
Is number 8 a binary tree ?
How many BST can you make with the val…
Is number 7 a binary tree ?
Is number 9 a binary tree ?
- Yes... - With a height of 3
...
- Yes... - With a height of 0
- No... -With a height of 2
Is number 8 a binary tree ?
- Yes... - With a height of 3
How many BST can you make with the val…
...
Binary Search Tree
What is the primary characteristic of…
what are the values of interior nodes…
What are the values of the descendants…
What is the height of 7... -------(1)... ---…
The value, (or key depending on the implementation) of any no…
1 4 4 7 8 9
2 4 4 4 8 8 9
3 (the height of a node is the length of the longest downward…
What is the primary characteristic of…
The value, (or key depending on the implementation) of any no…
what are the values of interior nodes…
1 4 4 7 8 9
17 terms
Binary Trees, Binary Search Trees (BSTs), and Tree Traversals
A collection of tree is called a _____…
A node with no children is called a __…
A node with no parent is called the __…
Is number 1 binary tree... FULL?... Complete?
Forest
Leaf
Root
Full = no... Complete = no
A collection of tree is called a _____…
Forest
A node with no children is called a __…
Leaf
33 terms
Binary Search Tree
Search and Insert in BST
Deletion from BST
Minimum value in a Binary Search Tree
Inorder predecessor and successor for…
...
...
...
...
Search and Insert in BST
...
Deletion from BST
...
19 terms
Binary Search Tree Terms
tree
parent node
child node
root
a set of one or more nodes, partitioned into root... node and su…
the node directly above node n in... the tree.
a node directly below node n in the tree.
the only node in the tree without a parent.
tree
a set of one or more nodes, partitioned into root... node and su…
parent node
the node directly above node n in... the tree.
13 terms
Binary Search Tree
Binary Search Tree definition
BST O access
BST O search
BST O insert/delete
In computer science, binary search trees (BST), sometimes cal…
O(n)
O(n)
O(n)
Binary Search Tree definition
In computer science, binary search trees (BST), sometimes cal…
BST O access
O(n)
18 terms
Binary Search Tree
Binary search tree
Total order
Where can values go?
Searching for values
Binary tree in which the search property holds on every n…
order imposed on all elements (ex. inorder?)
Items can only go at bottom of tree
Begin at root; use search property of nodes to guide the sear…
Binary search tree
Binary tree in which the search property holds on every n…
Total order
order imposed on all elements (ex. inorder?)
23 terms
[DataStructures] Binary Tree
Number of children of each node
Leaf node
Strict/proper binary tree
Complete binary tree
Each node can have at most two children
A node with 0 child
Each node can have either 2 or 0 children
All levels except possible the last are completely filled and…
Number of children of each node
Each node can have at most two children
Leaf node
A node with 0 child
31 terms
340 Binary Tree quiz
Max # of leaves
Max # of nodes
Max height
Min height
2^(height(tree)-1)
2^(height(tree)) - 1
number of nodes
floor(lg(n)) +1
Max # of leaves
2^(height(tree)-1)
Max # of nodes
2^(height(tree)) - 1
13 terms
Binary Search Tree
How does one enter a smaller node in a…
How does one enter a larger node in a…
What happens when you add a value to a…
What happens when you remove a value t…
to the left of the sub-tree
to the right of the sub-tree
every addition adds a new leaf to the tree on the right
It is just removed
How does one enter a smaller node in a…
to the left of the sub-tree
How does one enter a larger node in a…
to the right of the sub-tree
12 terms
A Level Computing: binary tree
in-order pseudo code
pre-order pseudo code
post-order pseudo code
pre-order diagram
sub TraverseRoutine(TreeNode)... If LeftPointer(TreeNode) != NU…
sub TraverseRoutine(TreeNode)... Output(TreeNode.value)... If Lef…
sub TraverseRoutine(TreeNode)... If LeftPointer(TreeNode) != NU…
in-order pseudo code
sub TraverseRoutine(TreeNode)... If LeftPointer(TreeNode) != NU…
pre-order pseudo code
sub TraverseRoutine(TreeNode)... Output(TreeNode.value)... If Lef…
29 terms
Chapter 19 - Binary Search Trees
Left subtree
Right subtree
No
Find operation
In a BST the smaller keyed node is in the...
In a BST the larger keyed node is in the...
Are duplicates allowed?
This operation is performed by repeatedly branching either le…
Left subtree
In a BST the smaller keyed node is in the...
Right subtree
In a BST the larger keyed node is in the...
11 terms
Chapter 8: Binary Search Trees
Tree
Children
Level of a node
BST access time (avg case)
A nonlinear structure in which each node is capable of having…
Successor nodes to another node in a tree.
Distance from the root
O(logN)
Tree
A nonlinear structure in which each node is capable of having…
Children
Successor nodes to another node in a tree.
10 terms
Data Structures- Binary Search Trees
Preorder Traversal
Inorder Traversal
Postorder Traversal
Recursive Preorder
(i) Visit the root ... (ii) Traverse the left subtree... (iii) Trav…
(i) Traverse left subtree starting at the left external node…
(i) Traverse all left external nodes starting with the left m…
template <class ItemType>... void BST <ItemType>::preOrder(TreeN…
Preorder Traversal
(i) Visit the root ... (ii) Traverse the left subtree... (iii) Trav…
Inorder Traversal
(i) Traverse left subtree starting at the left external node…
16 terms
DS: Ch. 10 Binary Trees
Balance Factor Equation
When is a tree unbalanced?
Describe a tree
The root is the only node at level __,…
bF = h ( Left subtree) - h (Right subtree)
BF > absvalue(1)
Set of nodes which is either ... A) empty ... B) consists of a node…
The root is the only node at level 0, and its depth is 0
Balance Factor Equation
bF = h ( Left subtree) - h (Right subtree)
When is a tree unbalanced?
BF > absvalue(1)
Binary Trees - UHV COSC3333
Tree
Nodes
Edges
Path
A data structure that uses nodes to hold data and edges to co…
The data field(s) in a tree.
The references to a node's child(ren).
The sequence of nodes that must be traveled to get from one n…
Tree
A data structure that uses nodes to hold data and edges to co…
Nodes
The data field(s) in a tree.
11 terms
EECS 214 - Binary Search Trees
Binary Search Tree Property
Representing Binary Search Trees
BST Search - Recursion
BST Search - While Loop
- nodes in left subtree have values <= current node's value... -…
class BST... int key... BST parent... BST left... BST right... public B…
Search (node, int k)... if (node == null)... return null // base…
Search (node, int k)... while (node != null && node.key != k)…
Binary Search Tree Property
- nodes in left subtree have values <= current node's value... -…
Representing Binary Search Trees
class BST... int key... BST parent... BST left... BST right... public B…
8 terms
CS11 Binary Search Trees
How do you add a node to a binary sear…
What is a binary search tree?
How do you remove an item from a binar…
What is a binary tree?
Search the tree as if you were looking for the key of the nod…
A binary tree where every left child key is less than the par…
Find the node.... If the item has a right child, find the smalle…
A structure with a set of nodes, each with potentially two ch…
How do you add a node to a binary sear…
Search the tree as if you were looking for the key of the nod…
What is a binary search tree?
A binary tree where every left child key is less than the par…
31 terms
Computer Science 1027 - Topic 14 - Binary Trees
Tree
Tree Examples in real life
Tree Properties
Nodes
a nonlinear data structure used to represent entities that ar…
Family tree... Table of contents in a book... Class inheritance in…
A set of elements of the same type such that it is empty or h…
The elements in a tree
Tree
a nonlinear data structure used to represent entities that ar…
Tree Examples in real life
Family tree... Table of contents in a book... Class inheritance in…
15 terms
CS310 Binary Search Tree
Binary Search Trees (BST)
root
subtree
height
- are linked structures that are designed to address some of…
top node in the tree, the single entry point to the tree
each node in the tree
number of edges in the longest path from root to leaf. Or num…
Binary Search Trees (BST)
- are linked structures that are designed to address some of…
root
top node in the tree, the single entry point to the tree
29 terms
Computer Science Binary Search Tree
Root
Leaves
Internal Nodes
Parent
Node at top of tree
Node without any successors, ends
Nodes that have greater than or equal to 1 successor
A node's immediate predecessor
Root
Node at top of tree
Leaves
Node without any successors, ends
58 terms
Chapter 12: Binary trees and hash tables
worst case computing time for linear s…
worst case computing time for binary s…
call to C++'s binary search algorith i…
What is binary search
O(n)
O(log2n)
binary_search(begin, end, item)
examines middle element of sublist and if it is not desired i…
worst case computing time for linear s…
O(n)
worst case computing time for binary s…
O(log2n)
16 terms
C exam review 7_1 Binary trees
Benefits of Abstract Data Type(ADT)
What is a tree?
To identify a tree, it has?
Degree of a node is the number of it's…
Modularity,... Allows testing separately,... Division of Labour,... Re…
A tree is a finite set of nodes.
There is a node called root of the tree.... The remaining nodes…
True
Benefits of Abstract Data Type(ADT)
Modularity,... Allows testing separately,... Division of Labour,... Re…
What is a tree?
A tree is a finite set of nodes.
19 terms
CMSC132 Week 8.1 - Trees & Binary Search Trees
Tree
Root
Leaf
Interior
A heirarchal data structure... One-to-many relationship between…
A node with no parent
A node with no children
A node with children
Tree
A heirarchal data structure... One-to-many relationship between…
Root
A node with no parent
13 terms
Data Structures: 35 Binary Search Tree Vocab
binary tree
leaf
internal node
parent
each node has up to two children, known as a left child and a…
a tree node with no children
a node with at least one child
a node with a child is said to be that child's parent
binary tree
each node has up to two children, known as a left child and a…
leaf
a tree node with no children
7 terms
Computer Science Ch.8 Binary Tree
Binary tree
Binary Search Tree
insert()
delete()
each node can have at most two children, ... and in which a uniq…
each node contains a distinct data value, key values compared…
implement
find the node in the tree. delete the node form the tree. Thr…
Binary tree
each node can have at most two children, ... and in which a uniq…
Binary Search Tree
each node contains a distinct data value, key values compared…
8 terms
5.3 Recursion and Binary Search Tree
Recursion
Terminating Condition
Advantages of Recursion
Disadvantages of Recursion
When a method calls itself from within itself
The condition that determines when the method will stop recur…
Much less code; No need to know overall 'size' of object
Can be slightly slower; more difficult to debug/understand
Recursion
When a method calls itself from within itself
Terminating Condition
The condition that determines when the method will stop recur…
8 terms
8_1_ More practice on BinaryTrees
What is a recursion?
What are functions that use recursion…
Write a recursive function for a facto…
Define a treenode structure which cont…
Recursion is a technique that solves a problem by solving a S…
Recursive function
int Factorial(int n) {... if (n == 0) {... return 1;... } else {... r…
typedef struct treenode {... Node data;... struct treenode *left,…
What is a recursion?
Recursion is a technique that solves a problem by solving a S…
What are functions that use recursion…
Recursive function
1 of 10