On the Combinatorial Complexity of Motion Coordination

Paul G Spirakis

The book On the Combinatorial Complexity of Motion Coordination was written by author Paul G Spirakis Here you can read free online of On the Combinatorial Complexity of Motion Coordination book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is On the Combinatorial Complexity of Motion Coordination a good or bad book?

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Can we move them in the plane so that their final positions cover a given set of m points? Remarks : Remains NP-hard even if r is constant and no osbstacles exist. Reduction from 3-SATISFIABILITY Note : References for the NP-coraplete problems which furnish a basis for our arguments, can be found in [GJ, 79]. 3. NP-hardness results for planning pebble motion on a graph ONE PASS PEBBLE MOTION IN PLANAR GRAPHS (P6) Given a planar graph G = (V, E) with ail vertices in V being one-pass. Given also ...a collection I = {s, ,. .. , s. } E V, s = {tp. .. , t^} E V and ^i. '^j such that j * i L^ * l^, s^ i^ Sj, s^ # ty A pebble named p. Is originally placed on each s^, i ~ 1, . ^ . , k. Is there a way of moving each p. From initial pcr. Ltlon's, to frlnrl position t. By a sequence of legal moves? Re ma r k Transf pncation from "k-vertex DISJOINT PATHS IN PLANAR GRAPHS", k is p^. T of the input. PEBBLE MOTION WITH NON-ADJACENCY (P7) Let there be given a planar graph G = (V, E) such that maximum degree of each vertex u e V is

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