End of Term Review 2.8

End of Term Review 2.8 - Relaxing an edge Can we improve...

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Unformatted text preview: Relaxing an edge Can we improve shortest-path estimate for v by first going to u and then following edge (u,v)? RELAX(u, v, w) if d[v] > d[u] + w(u, v) then d[v] [v] CSE 2011 Prof. J. Elder d[u] + w(u, v) u - 86 - Last Updated: 4/1/10 2:37 PM General single-source shortest-path strategy 1. Start by calling INIT-SINGLE-SOURCE 2. Relax Edges Algorithms differ in the order in which edges are taken and how many times each edge is relaxed. CSE 2011 Prof. J. Elder - 87 - Last Updated: 4/1/10 2:37 PM Example: Single-source shortest paths in a directed acyclic graph (DAG) Since graph is a DAG, we are guaranteed no negative-weight cycles. Thus algorithm can handle negative edges CSE 2011 Prof. J. Elder - 88 - Last Updated: 4/1/10 2:37 PM Example CSE 2011 Prof. J. Elder - 89 - Last Updated: 4/1/10 2:37 PM Example CSE 2011 Prof. J. Elder - 90 - Last Updated: 4/1/10 2:37 PM ...
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This note was uploaded on 02/14/2012 for the course CSE 2011Z taught by Professor Elder during the Fall '11 term at York University.

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End of Term Review 2.8 - Relaxing an edge Can we improve...

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