GIVEN: n red points and n blue points in the plane in general position (i.e., no 3 points are on the same line) PROVE: there exists a matching (i.e., 1-1 correspondence) between red and blue points...

GIVEN:<br>n red points and n blue points in the plane in general<br>position (i.e., no 3 points are on the same line)<br>PROVE:<br>there exists a matching (i.e., 1-1 correspondence)<br>between red and blue points such that the segments<br>connecting the corresponding points do not intersect.<br>EXTRA/HINT:<br>describe an algorithm for finding such matching<br>

Extracted text: GIVEN: n red points and n blue points in the plane in general position (i.e., no 3 points are on the same line) PROVE: there exists a matching (i.e., 1-1 correspondence) between red and blue points such that the segments connecting the corresponding points do not intersect. EXTRA/HINT: describe an algorithm for finding such matching

Jun 05, 2022

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GIVEN: n red points and n blue points in the plane in general position (i.e., no 3 points are on the same line) PROVE: there exists a matching (i.e., 1-1 correspondence) between red and blue points...

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