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We have discussed that the above Dijkstra's single source shortest-path algorithm works for graphs along with non-negative edges (like road networks). Given two scenarios can emerge out of negative cost edges into a graph:
Figure: A Graph with negative edge & non-negative weight cycle
The net weight of the cycle is 2(non-negative)
Figure: A graph with negative edge and negative weight cycle
The net weight of the cycle is 3(negative) (refer to above figure). The shortest path from A to B is not well defined as the shortest path to this vertex are infinite, that means , by traveling each cycle we can reduced the cost of the shortest path by 3, like (S, A, B) is path (S, A, B, A, B) is a path with less cost and so forth.
Dijkstra's Algorithm works only for directed graphs along non-negative weights (cost).
A significant aspect of Abstract Data Types is that they explain the properties of a data structure without specifying the details of its implementation. The properties might be im
what happen''s in my computer when i input any passage
MID SQUARE METHOD
RGB Model The RGB model is based on the assumption that any desired shade of colour can be obtained by mixing the correct amounts of red, green, and blue light. The exact hues
Q. What is the need of using asymptotic notation in the study of algorithm? Describe the commonly used asymptotic notations and also give their significance.
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.
State in brief about assertion Assertion: A statement which should be true at a designated point in a program.
Deletion Algorithm for dequeue Step 1: [check for underflow] If front = 0 and rear = 0 Output "underflow" and return Step 2: [delete element at front end] If front
In this example, suppose the statements are simple unless illustrious otherwise. if-then-else statements if (cond) { sequence of statements 1 } else { sequence of st
How does operations like insertion, deletion occur?
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