## Lists, Data Structure & Algorithms

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In the earlier unit, we have discussed about the arrays. Arrays are data structures of fixed size. Insertion & deletion involves reshuffling of array elements. Thus, arraymanipulation is very time-consuming & inefficient. In this unit, we will illustrate abstract data type-lists, array implementation of lists & linked list implementation, Doubly & Circular linked lists & their applications. In the linked lists, items can be added or removed simply to the end or beginning or even in the middle.

#### Example of binary search, Let us assume a file of 5 records that means n = ...

Let us assume a file of 5 records that means n = 5 And k is a sorted array of keys of those 5 records. Let key = 55, low = 0, high = 4 Iteration 1: mid = (0+4)/2 = 2

#### Linked list, create aset of ten numbers.then you must divide it into two s...

create aset of ten numbers.then you must divide it into two sets numbers which are set of odd numbers and set of even numbers.

#### Graph, For the following graph find the adjacency matrix and adjacency list...

For the following graph find the adjacency matrix and adjacency list representation of the graph.

#### Merge sort , What is the best-case number of comparisons performed by merge...

What is the best-case number of comparisons performed by mergesort on an input sequence of 2 k distinct numbers?

#### Binary tree, A binary tree is a tree data structures in which each node hav...

A binary tree is a tree data structures in which each node have at most two child nodes, generally distinguished as "right" and "left". Nodes with children are called parent nodes,

#### Tree structure, We would like to implement a 2-4Tree containing distinct in...

We would like to implement a 2-4Tree containing distinct integer keys. This 2-4Tree is defined by the ArrayList Nodes of all the 2-4Nodes in the tree and the special 2-4Node Root w

#### Maximum numbers of nodes a binary tree of depth d, Maximum numbers of nodes...

Maximum numbers of nodes a binary tree of depth d The maximum numbers of nodes a binary tree of depth d can have is 2 d+1 -1.

#### Implementation of queue, For a queue a physical analogy is a line at bookin...

For a queue a physical analogy is a line at booking counter. At booking counter, customers go to the rear (end) of the line & customers are attended to several services from the fr

#### Undirected graph and adjacency matrix, Q. Consider the specification writte...

Q. Consider the specification written below of a graph G V(G ) = {1,2,3,4} E(G ) = {(1,2), (1,3), (3,3), (3,4), (4,1)} (i)        Draw the undirected graph. (

#### Define chaining process of hashing, Chaining In this method, instead of...

Chaining In this method, instead of hashing function value as location we use it as an index into an array of pointers. Every pointer access a chain that holds the element havi