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Efficient 1-Space Bounded Hypercube Packing Algorithm

Published in Algorithmica • Jun 5, 2020
NobleIDNI0P80W99R86S01
Authors:
Paulina Grzegorek
,
Janusz Januszewski
,
Łukasz Zielonka

Abstract

Abstract A space bounded $$ O(d/\log d)$$ O ( d / log d ) -competitive hypercube packing algorithm with one active bin only is presented. As a starting point we give a simple 1-space bounded hypercube packing algorithm with competitive ratio $$ (3/2)^{d}+O((21/16)^d)$$ ( 3 / 2 ) d + O ( ( 21 / 16 ) ...

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