How do you represent a sparse matrix in a linked list?

Implementation of linked list representation of sparse matrix

  1. class Node {
  2. int row;
  3. int col;
  4. int value;
  5. Node next;
  6. Node(int r, int c, int val)
  7. { row = r; col = c; this.value = val; }
  8. }

What is the representation of sparse matrix?

Sparse matrix is a matrix which contains very few non-zero elements. When a sparse matrix is represented with a 2-dimensional array, we waste a lot of space to represent that matrix. For example, consider a matrix of size 100 X 100 containing only 10 non-zero elements.

What is sparse matrix give its memory representation?

Representing a sparse matrix by a 2D array leads to wastage of lots of memory as zeroes in the matrix are of no use in most of the cases. So, instead of storing zeroes with non-zero elements, we only store non-zero elements. This means storing non-zero elements with triples- (Row, Column, value).

What is sparse matrix explain its representation with an example?

The matrix which has a greater number of zero values in comparison to the non-zero values is known as a sparse matrix. In the above example we have 4 X 4 matrix where only 5 values are non-zero and rest of the value are zero. Total space taken by 4 X 4 matrix is 4 X 4 X 2 = 32 bytes.

How do you represent a polynomial in a linked list?

Step 1: loop around all values of linked list and follow step 2& 3. Step 2: if the value of a node’s exponent. is greater copy this node to result node and head towards the next node. Step 3: if the values of both node’s exponent is same add the coefficients and then copy the added value with node to the result.

What is sparse matrix explain 3 tuple representation of a sparse matrix with the help of an example?

Now to keep track of non-zero elements in a sparse matrix we have 3-tuple method using an array. Elements of the first row represent the number of rows, columns and non-zero values in the sparse matrix. Elements of the other rows give information about the location and value of non-zero elements.

What is linked list in data structure?

In computer science, a linked list is a linear collection of data elements whose order is not given by their physical placement in memory. Instead, each element points to the next. It is a data structure consisting of a collection of nodes which together represent a sequence.

What are the operations on linked list?

Linked List Operations: Traverse, Insert and Delete

  • Traversal – access each element of the linked list.
  • Insertion – adds a new element to the linked list.
  • Deletion – removes the existing elements.
  • Search – find a node in the linked list.
  • Sort – sort the nodes of the linked list.

What are the applications of linked list?

Applications of linked list data structure

  • Implementation of stacks and queues.
  • Implementation of graphs : Adjacency list representation of graphs is most popular which is uses linked list to store adjacent vertices.
  • Dynamic memory allocation : We use linked list of free blocks.
  • Maintaining directory of names.

What is polynomial representation?

Representation of a Polynomial: A polynomial is an expression that contains more than two terms. A term is made up of coefficient and exponent. An example of polynomial is. P(x) = 4×3+6×2+7x+9. A polynomial thus may be represented using arrays or linked lists.

How do you represent a polynomial in data structure?

Representation of Polynomials Using Arrays The simple way is to represent a polynomial with degree ‘n’ and store the coefficient of n+1 terms of the polynomial in the array. So every array element will consist of two values: Coefficient and. Exponent.

What is sparse matrix in C++?

A sparse matrix is a matrix in which majority of the elements are 0. An example for this is given as follows. The matrix given below contains 5 zeroes. Since the number of zeroes is more than half the elements of the matrix, it is a sparse matrix.