By the Shortest Path?
In Graph Theory, the Shortest Path Problem Is the Problem of Finding a Path Between Two Vertices (Or Nodes) in a Graph Such That the Sum of the Weights of Its...
In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized.
What is meant by shortest path?
(classic problem) Definition: The problem of finding the shortest path in a graph from one vertex to another. "Shortest" may be least number of edges, least total weight, etc. Also known as single-pair shortest-path problem.
How do you find the shortest path?
- Mark the ending vertex with a distance of zero. Designate this vertex as current.
- Find all vertices leading to the current vertex. Calculate their distances to the end. ...
- Mark the current vertex as visited. ...
- Mark the vertex with the smallest distance as current, and repeat from step 2.
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