Some remarks concerning kissing numbers,blocking numbers and covering numbers |
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| Authors: | Chuanming Zong |
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| Institution: | (1) Institute of Mathematics, The Chinese Academy of Sciences, 100080 Beijing, P. R. China |
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| Abstract: | This article shows an inequality concerning blocking numbers and Hadwiger's covering numbers and presents a strange phenomenon concerning kissing numbers and blocking numbers. As a simple corollary, we can improve the known upper bounds for Hadwiger's covering numbers ford-dimensional centrally symmetric convex bodies to 3
d
–1. |
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| Keywords: | Primary 52C17 Secondary 05B40 11H31 |
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