Note that TDI is a weaker sufficient condition for integrality than total unimodularity.
2.
There are other general methods including the integer decomposition property and total dual integrality.
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The integrality gap is always at least 1.
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Typically, the integrality gap translates into the approximation ratio of an approximation algorithm.
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Finally, constraints 6 are the integrality constraints.
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Similarly, " integrality " is transitive.
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So the Atiyah Singer index theorem implies some deep integrality properties, as it implies that the topological index is integral.
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The basic idea behind LP decoding is to first represent the relax the integrality constraints on the variables into linear inequalities.
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In general, fractional graph coloring provides a shorter schedule than non-fractional graph coloring; there is an integrality gap.
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For example, a linear programming relaxation of an integer programming problem removes the integrality constraint and so allows non-integer rational solutions.
the state of being total and complete; "he read the article in its entirety"; "appalled by the totality of the destruction" Synonyms: entirety, entireness, totality,
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