Dijkstra's algorithm is a well-known algorithm for finding the shortest paths from a single source vertex to all other vertices in a graph. However, it assumes that all edge weights are non-negative. This is because Dijkstra's algorithm relies on the fact that once a vertex's shortest path is determined, it will not change. If there were negative weights, a shorter path might be found later, invalidating the correctness of the algorithm. For example, if a graph has a negative weight edge, Dijkstra's algorithm might incorrectly calculate the shortest path by not considering a path that includes the negative edge. This limitation is why Dijkstra’s algorithm is not suitable for graphs with negative edge weights. Instead, algorithms like Bellman-Ford are used for graphs where negative weights are present, as they can correctly handle such situations.
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Present ages of P and Q are in the ratio 2:5 respectively. If Q’s age, 15 years hence from now will be 5 times of P’s age, 5 years ago from now, the...
The average age of 26 children and their teacher's age are 22 years. If the teacher's age is excluded, the average reduces by 1. What is the teacher's age?
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Average of present age of A and C is 29 years and C is 8 years younger than B. Ratio of present age of A to present age of B is 6:5. Find present age of B.
The present age of Raj is 10% less than that of Pranay. Pranay is two years younger than Queen. Ten years ago, the average of the ages of Queen and Raj ...
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A student multiplied a number by 4/5 instead of 5/4. What is the percentage error in the calculation.
Sum of the present ages of A, B, C and D is 70 years. After 5 years ratio of their ages is 5:4:4:2. What is C’s present age?