Final answer:
Dijkstra's algorithm is a graph search method used to find the shortest paths in a graph with non-negative weights. It functions with indistinct weights and can be applied to both directed and undirected graphs. The key requirement is that the graph has non-negative weights for the algorithm to work correctly.
Step-by-step explanation:
The question pertains to the Dijkstra's algorithm which is employed in the field of computers and technology, specifically within the context of graph theory and its application to finding the shortest paths from a single source vertex to all other vertices in a weighted graph. The algorithm operates competently with graphs that have non-negative weights, ensuring that the shortest path between any two nodes is accurately computed. However, Dijkstra's mechanism is versatile insofar as it does not require the weights to be distinct; identical weights on different edges do not perturb its operation.
Moreover, Dijkstra's algorithm is flexible in terms of the types of graphs it can process. It is not limited to just directed graphs; it also functions correctly for undirected graphs as long as the edge weights are non-negative. The essential component for Dijkstra's algorithm to work is the presence of weights (which can be identical across different edges) that allow for the computation of the shortest paths.
Thus, elucidating the initial inquiry, Dijkstra's algorithm does work with indistinct weights and is applicable to both directed and undirected graphs, provided the graph holds non-negative weighted edges.