On minimisation of the double-sided shadow in the unit cube
Diskretnaya Matematika, Tome 23 (2011) no. 4, pp. 115-132.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{DM_2011_23_4_a7,
     author = {M. A. Bashov},
     title = {On minimisation of the double-sided shadow in the unit cube},
     journal = {Diskretnaya Matematika},
     pages = {115--132},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2011_23_4_a7/}
}
TY  - JOUR
AU  - M. A. Bashov
TI  - On minimisation of the double-sided shadow in the unit cube
JO  - Diskretnaya Matematika
PY  - 2011
SP  - 115
EP  - 132
VL  - 23
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DM_2011_23_4_a7/
LA  - ru
ID  - DM_2011_23_4_a7
ER  - 
%0 Journal Article
%A M. A. Bashov
%T On minimisation of the double-sided shadow in the unit cube
%J Diskretnaya Matematika
%D 2011
%P 115-132
%V 23
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DM_2011_23_4_a7/
%G ru
%F DM_2011_23_4_a7
M. A. Bashov. On minimisation of the double-sided shadow in the unit cube. Diskretnaya Matematika, Tome 23 (2011) no. 4, pp. 115-132. http://geodesic.mathdoc.fr/item/DM_2011_23_4_a7/

[1] Sapozhenko A. A., Problema Dedekinda i metod granichnykh funktsionalov, Fizmatlit, Moskva, 2009

[2] Kruskal J., “The number of simplices in a complex”, Mathematical Optimization Techniques, Univ. of California Press, Berkeley, 1963, 251–278 | MR

[3] Katona G. O. H., “A theorem of finite sets”, Proc. Tihany Conf., 1966, 187–207 | MR

[4] Mörs M., “A generalization of a theorem of Kruskal”, Graphs and Combinatorics, 1 (1985), 167–183 | DOI | MR

[5] Füredi Z., Griggs J. R., “Families of finite sets with minimal shadows”, Combinatorica, 6 (1986), 355—363 | DOI | MR

[6] Clements G. F., Lindström B., “A generalization of a combinatorial theorem of Macaulay”, J. Combinatorial Theory, 7 (1969), 230–238 | DOI | MR | Zbl

[7] Bezrukov S. L., “Minimizatsiya tenei podmnozhestv polureshetki chastichnykh otobrazhenii”, Diskretnyi analiz, 47, 1988, 3–18 | MR | Zbl

[8] Bezrukov S. L., Leck U., “Macaulay posets”, Electron. J. Comb., 2004, DS12 | Zbl

[9] Frankl P., “Shadows and shifting”, Graphs and Combinatorics, 7 (1991), 23–29 | DOI | Zbl

[10] Ahlswede R., Aydinian H., Khachatrian L. H., “More about shifting techniques”, European J. Combin., 24 (2003), 551–556 | DOI | MR | Zbl