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Can we have an integer polytope when $A$ is not totally unimodular and $b$ is an integer vector?

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#integer-programming #discrete-optimization #polytopes #unimodular-matrices
75
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Can it be shown that this expression is decreasing?

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#real-analysis #discrete-mathematics #products #discrete-optimization
7.1k
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Feasibility and optimality conditions in linear programming

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#optimization #linear-programming #discrete-optimization
113
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Formulating a combinatorial optimisation problem

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#optimization #discrete-optimization
588
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How to prove that an integer linear program is infeasible?

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#optimization #linear-programming #integer-programming #discrete-optimization #reference-works
447
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Finding maximum of discrete function

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#trigonometry #discrete-optimization #maxima-minima
94
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Maximizing the number of "discrepancies" in a vertex-labeled graph

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#linear-algebra #combinatorics #graph-theory #optimization #discrete-optimization
447
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Matching, augmenting path Lemma

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#graph-theory #discrete-optimization #bipartite-graphs #matching-theory
1.2k
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Maximize the sum of the diagonal elements of a Graeco-Latin square

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#discrete-optimization #latin-square
699
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What is the maximum possible sum?

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#combinatorics #discrete-optimization #extremal-combinatorics
974
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Is there an effective algorithm to solve this binary integer linear programming?

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#graph-theory #linear-programming #discrete-optimization #network-flow #binary-programming
32
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Partitioning the set of pairs of $\{1,\ldots,n\}$ into classes of size at most $m$?

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#combinatorics #discrete-mathematics #discrete-optimization
720
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What does inclusion-minimal maximizer mean?

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#combinatorics #optimization #discrete-optimization
66
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Branch and bound ununderstandable example

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#combinatorics #graph-theory #discrete-optimization
76
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Groups that cover weighted set

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#combinatorics #discrete-mathematics #algorithms #discrete-optimization #discrete-geometry

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