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The answer to my question can be found in the paper Position Paper: Dijkstra's Algorithm versus Uniform Cost Search or a Case Against Dijkstra's Algorithm (2011), in particular section Similarities of DA and UCS, so you should read this paper for all the details. DA and UCS are logically equivalent (i.e. they process the same vertices in the same order), but ...

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Why do you want to think of these algorithms as agents? An agent is an abstract and higher-level concept than the concept of an algorithm, which is just a set of instructions. You could have two agents, one that is supposed to find the minimum spanning tree and another that is supposed to find the shortest path between a source and goal nodes. In both ...

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What you are doing when calculating $d'(x,y)$: $d(x,y)$: calculating the original edge distance from $x$ to $y$ $h(y)$: plus the heuristic from $y$ to the goal $h(x)$: minus the heuristic from $x$ to the goal So, using this recalculation of the original edge-values ($1.$) in Dijkstra's algorithm you are inherently accounting for the heuristic component of ...

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