On Optimal Parallel Algorithm for Building a Data Structure for Planar Point Loc
On Optimal Parallel Algorithm for Building a Data Structure for Planar Point Loc
Richard Cole
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But then the vertex preceding w on p is queued, contradicting the definition of p. Thus the potential of every vertex on p is unchanged and there is still a light path with strictly increasing potentials from t; to a queued vertex. Since v was an arbitrary free vertex, the lemma will hold after Substep 5. This concludes the proof. Note: Lemma 3 shows that setting the parameter r to be r = / -t- 2 is sufficient. Hence from here on, we assume that r = I + 2. Section 5 (on symmetry breaking) showe...d that there is a constant k, such 12 that for large enough n, the number of bits in the binary representation of the vertex potentials is
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