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<p>to give an explicit relationship between elements. Definitions of "low overhead" vary, but generally means constant overhead; in <a href="page.php?w=big_O_notation">big O notation</a>, O(1) overhead. A less restrictive definition is a <a href="page.php?w=succinct_data_structure">succinct data structure</a>, which allows greater overhead.</p>

<p><big> Definition </big></p>
<p>An implicit data structure is one with constant  space overhead (above the <a href="page.php?w=information-theoretic">information-theoretic</a> lower bound).</p>

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