Take your pathfinding skills to new heights with our meticulously crafted notes on Dijkstra's Algorithm. These comprehensive notes are designed to empower students, researchers, and professionals seeking to master this essential graph algorithm.
Algorithm:
Dijkstra's graph search algorithm solves the single-source shortest path problem for
a weighted, directed graph with non-negative edge weights. It starts at the source
vertex and explores all possible paths from it to every other vertex in the graph,
keeping track of the minimum distance found so far to each vertex. The algorithm
Dijkstra’s Algorithm 1
, uses a priority queue to select the next vertex to visit based on its current distance
from the source and updates distances as it progresses through the graph until all
vertices have been visited. The resulting output is a list of the shortest paths from the
source vertex to every other vertex in the graph.
Here the nodes have an arbitrary value assigned at the start which is infinity then the
graph works through every node by finding the distance between the start node to
every node connected to the start node then it moves on to the node with the
smallest arbitrary value from the start node. If a path to a node from a node other
than the start node or another node is shorter then it will replace the arbitrary value
on the node with the new distance value. The node should also store the direction
from which the path came.
Facts and stats:
1. Dijkstra's algorithm is a shortest-path graph search algorithm.
2. It was invented by Dutch computer scientist Edsger W. Dijkstra in 1956.
3. The algorithm uses a priority queue to determine the next node to visit.
4. It guarantees finding the shortest path in a weighted graph with non-negative
edges.
5. The time complexity of the algorithm is O(E + V log V), where E is the number of
edges and V is the number of vertices.
6. Dijkstra's algorithm can be used for routing protocols in computer networks.
Dijkstra’s Algorithm 2
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