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About: Pebble motion problems     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatMulti-agentSystemsyago:Artifact100021939yago:Instrumentality103575240yago:Object100002684yago:PhysicalEntity100001930yago:System104377057yago:Whole100003553 New Facet based on Instances of this Class

The pebble motion problems, or pebble motion on graphs, are a set of related problems in graph theory dealing with the movement of multiple objects ("pebbles") from vertex to vertex in a graph with a constraint on the number of pebbles that can occupy a vertex at any time. Pebble motion problems occur in domains such as multi-robot motion planning (in which the pebbles are robots) and network routing (in which the pebbles are packets of data). The best-known example of a pebble motion problem is the famous 15 puzzle where a disordered group of fifteen tiles must be rearranged within a 4x4 grid by sliding one tile at a time.