Construct · 1 fields · 1 citations

total unimodularity: a standalone construct

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totalunimodularity1 CONSTRUCTTotal unimodularityHOFFMAN · OPERATIONS RESEARCH

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Operations research

property of a matrix whose every square submatrix has determinant minus one, zero or one, which guarantees integer vertices for linear programs with integer data.

In operations research, total unimodularity refers to property of a matrix whose every square submatrix has determinant minus one, zero or one, which guarantees integer vertices for linear programs with integer data. This meaning comes from Hoffman (1957) in Linear Inequalities and Related Systems. (AM-38).[1]

Unit
Recovery means
Measured by

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Nearby constructs

determinant3 fields · 5 citationsjingle · one word, three constructsmatrix3 fields · 4 citationsjingle · one word, three constructsoperation1 fields · 1 citationsanchor · a standalone construct

References

  1. Hoffman, A. J., & Kruskal, J. B. (1957). 13. Integral Boundary Points of Convex Polyhedra. In Linear Inequalities and Related Systems. (AM-38) (pp. 223-246). Princeton University Press. https://doi.org/10.1515/9781400881987-014

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