In this problem, Show that given n red points and n blue points in the plane such that no three points lie on a common line, it is possible to draw line segments between red-blue pairs so that all the pairs are matched and none of the line segments intersect. Assume that there are n red and n blue points fixed in the plane.A matching M is a collection of n line segments connecting distinct red-blue pairs. The total length of a matching M is the sum of the lengths of the line segments in M. Say that a matching M is minimal if there is no matching with a smaller total length.Let IsMinimal(M) be the predicate that is true precisely when M is a minimal matching. Let HasCrossing(M) be the predicate that is true precisely when there are two line segments in M that cross each other. Give an argument in English explaining why there must be at least one matching M so that IsMinimal(M) is true, i.e. ?MIsMinimal(M)Give an argument in English explaining why ?M(HasCrossing(M) ? ¬IsMinimal(M)) Now use the two results above to give a proof of the statement: ?M¬HasCrossing(M).
“I’m trying to write my paper and I’m stuck. Can you help me?”
Yes, we can help you achieve academic success without the uncessary stress of deadlines.
Our reliable essay writing service is a great opportunity for you to save your time and receive the best paper ever.
Show that given n red points
Plagiarism-free and delivered on time!
We are passionate about delivering quality essays.
Our writers know how to write on any topic and subject area while meeting all of your specific requirements.
Unlike most other services, we will do a free revision if you need us to make corrections even after delivery.