How do you represent a sparse matrix in a linked list?
Implementation of linked list representation of sparse matrix
- class Node {
- int row;
- int col;
- int value;
- Node next;
- Node(int r, int c, int val)
- { row = r; col = c; this.value = val; }
- }
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.