A few applications of negative- type inequalities |
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| Authors: | M. Deza H. Maehara |
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| Affiliation: | 1. CNRS, Paris, France
2. Ryukyu University, Okinawa, Japan
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| Abstract: | Applying the negative-type inequalities for square Euclidean distance, we present (1) a parallelatope theorem (a generalization of the parallelogram theorem), (2) a short proof of Rankin’s theorem for the maximum number of dispersed points on a sphere, and (3) a proof of impossibility of a certain geometric embedding for some graphs. |
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