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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).
Part1: Deque and Bag Implementation First, complete the Linked List Implementation of the Deque (as in Worksheet 19) and Bag ADTs (Worksheet 22). Files Needed: linkedList.c Linke
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Consider a linked list of n elements. What is the time taken to insert an element after an element pointed by some pointer? O (1)
The smallest element of an array's index is called its Lower bound.
In the amortized analysis, the time needed to perform a set of operations is the average of all operations performed. Amortized analysis considers as a long sequence of operations
You will write functions for both addition and subtraction of two numbers encoded in your data structure. These functions should not be hard to write. Remember how you add and subt
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The number of different directed trees with 3 nodes are ?? The number of disimilar directed trees with three nodes are 3
In the array implementation of lists, elements are stored into continuous locations. In order to add an element into the list at the end, we can insert it without any problem. But,
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