Question
Does Dijkstra's algorithm work for graphs with both
negative and positive edge weights?Solution
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 Dijkstraβs 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.
Select the option that represents the correct order of the given words as they would appear in an English dictionary?
1.Authority
2.Automa...
Select the figure that will replace the question mark (?) in the following figure series.
Three of the following number-pairs are alike in some manner and hence form a group. Which number-pair does not belong to that group?
(NOTE: Oper...
In the following question, select the missing number from the given series.
11, 17, 23, ?, 35
Aditi is the mother of Vandana; Naresh is the son of Aditi: Dinesh is the brother of Pinki; and Pinki is the daughter of Vandana. How is Dinesh related ...
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
ABCD, HGLO, OLUZ, VQ...
Complete the following series.
e25, j100, o225_______
Statements:
1. All papers are stationery.
2. Some stationery are books.
3. No book is a pen.
Conclusions :
I. Some...
Identify the image of the image given with the following options:
What will come in place of β?β in the following equation, if β+β and βββ are interchanged and βΓβ and βΓ·β are interchanged?
...