Dijkstra's Algorithm is a path-finding algorithm used to find the shortest path between two nodes in a graph. It was developed by computer scientist Edsger Dijkstra in 1956.
Dijkstra's Algorithm works by starting at a designated starting node and considering all adjacent nodes. It then calculates the distance from the starting node to each adjacent node and chooses the node with the shortest distance as the next node to visit. This process is repeated until the algorithm reaches the destination node.
No, Dijkstra's Algorithm cannot handle negative weight graphs. It assumes that all edge weights are positive, and if negative weights are present, it may produce incorrect results or get stuck in an infinite loop.
A negative weight graph is a graph in which one or more edges have a negative weight. In this type of graph, the shortest path from one node to another may not always be the path with the lowest total weight. Negative weight graphs can cause issues for certain path-finding algorithms, including Dijkstra's Algorithm.
Yes, there are alternative algorithms that can handle negative weight graphs, such as the Bellman-Ford Algorithm and the Floyd-Warshall Algorithm. These algorithms take into account negative edge weights and can find the shortest path in negative weight graphs.