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Apr 5, 2011 at 13:23 comment added SpringCoder @Gery: Yes, I suddenly forgot the definition and went back to check it..you have pointed in the right direction. Thanks a lot. I am trying to see how the $l,b$ parameters can now fit in!
Apr 5, 2011 at 13:16 comment added Gerry Myerson @SpringCoder, did you look to see what a Steiner tree is?
Apr 5, 2011 at 9:00 comment added SpringCoder Yes $P(k,n,l,b)$ is the probability I am looking for. The rope may or may not run along grid lines. I think it might be easier to consider that it does not run along grid lines. However the original problem I have in mind does require the rope be along grid lines. But if the problem can be solved as $L_{2}$ norm distances then $L_{1}$ norm probability will be higher! How does Steiner tree fit here?
Apr 5, 2011 at 6:29 comment added Gerry Myerson I think you're asking for $P(k,n,l,b)$, the probability that you can connect all the points, maybe you could confirm this. Also I think the keyphrase you're looking for is "Steiner tree." Must all the rope bits run along gridlines? This, too, should be clarified.
Apr 5, 2011 at 6:23 history asked SpringCoder CC BY-SA 2.5