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A driver takes shortest possible route to attain destination. The problem which we will discuss here is similar to this type of finding shortest route in any specific graph. The graphs are weighted directed graphs. The weight could be cost, time, and losses other than distance designated by numerical values.
Single source shortest path problem: To determine a shortest path from a single source to each of the vertex of the Graph.
Suppose a Graph G = (V, E). We desire to find out the shortest path from single source vertex s?V, to every vertex v?V. The single source shortest path algorithm (Dijkstra's Algorithm) is depending on assumption that no edges have negative weights.
The process followed to find shortest path are depend on a concept called relaxation. This method frequently decreases the upper bound of actual shortest path of each vertex from the source until it equals the shortest-path weight. Please note down that shortest path among two vertices contains other shortest path within it.
Q. Using array to execute the queue structure, write down an algorithm/program to (i) Insert an element in the queue. (ii) Delete an element from the queue.
In internal sorting, all of the data to be sorted is obtainable in the high speed main memory of the computer. We will learn the methods of internal sorting which are following:
AVL trees are applied into the given situations: There are few insertion & deletion operations Short search time is required Input data is sorted or nearly sorted
Example of worse case of time
Triangular Matrices Tiangular Matrices is of 2 types: a) Lower triangular b) Upper triangular
Define tractable and intractable problems Problems that can be solved in polynomial time are known as tractable problems, problems that cannot be solved in polynomial time are
Q. Show the various passes of bubble sort on the unsorted given list 11, 15, 2, 13, 6 Ans: The given data is as follows:- Pass 1:- 11 15 2 13
Write a program for reversing the Linked list
Q. Draw the expression tree of the infix expression written below and then convert it intoPrefix and Postfix expressions. ((a + b) + c * (d + e) + f )* (g + h )
A linked list can be of the following types:- Linear linked list or one way list Doubly linked list or two way list. Circular linked list Header linked list
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