Subsets in a Boolean cube layer which are minimal by double-sided shadow and distinct from disks

Bashov, M. A.

doi:10.1134/s1990478913010043

J. Appl. Ind. Math.

2013

DOI: 10.1134/s1990478913010043

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Subsets in a Boolean cube layer which are minimal by double-sided shadow and distinct from disks

M. A. Bashov

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“…The minimal families of any cardinality in were described in [5], and solutions of cardinality 2k(nk) -n + 2 were constructed for some values of k. ‫ޒ‬ be a weight function, and let Ᏺ ⊆ be an ideal. We stipulate…”

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Minimizing the weight of ideals in a layer of the Boolean cube

Bashov

2013

MoscowUniv.Comput.Math.Cybern.

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Problems of minimizing weights of ideals are considered that arise in solving the shadow minimization problem for subsets of a layer of the Boolean cube. It is shown that the lexicographic intervals of such a layer minimize a large class of weight functions, including the function correspond ing to a one sided shadow. Sets minimizing the sums and products of one sided shadow weight func tions are described for certain cardinalities.

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confidence: 99%

Minimizing the weight of ideals in a layer of the Boolean cube

Bashov

2013

MoscowUniv.Comput.Math.Cybern.

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Subsets in a Boolean cube layer which are minimal by double-sided shadow and distinct from disks

Cited by 1 publication

References 4 publications

Minimizing the weight of ideals in a layer of the Boolean cube

Minimizing the weight of ideals in a layer of the Boolean cube

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