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To solve the optimization problem, we exploit the unique characteristic of the matrix A by using the total unimodularity concept.
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Using the total day-total audience numbers as the most indicative, Republicans now lead Democrats, sixty-one percent to thirty-nine percent.
However, we show that its constraint matrix satisfies the total unimodularity property, and hence our problem can be optimally solved in polynomial time using linear programming (LP).
We use the total score.
McInnis spokesman Sean Duffy used the fundraising totals to again label his candidate as the frontrunner.
Using the same example as before, this total is £13,767.
States would have near-total flexibility in using the funds.
Despite its huge range of applications, only few tractable fragments of ILP are known, probably the most prominent of which is based on the notion of total unimodularity.
We tie this to the concept of total unimodularity from network flow analysis, a fundamental result in polynomial solvability.
In total, there were more than 1,900 tweets using the hashtag #FuckPhyllis by Monday afternoon.
To see total unimodularity of the constraint matrix C, note that C is the incidence matrix of the bipartite graph B = (L ∪ R, E), where L = { pp'| p, p' ⊆ P} and R = { qq' | q, q' ⊆ Q}, and E introduces one edge for each constraint, namely As being the incidence matrix of a bipartite graph, C is in particular totally unimodular [ 24].
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