Geodesic
Combinatorial theory of magic squares out of domino
Čebyševskij sbornik, Tome 12 (2011) no. 2, pp. 135-150.

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

The theory for building magic squares out of domino (MSD) is not made up yet. There are only separate examples of MSD which do not contain the algorithms of their building. The only monograph on the domino coverings in Russia doesn`t give any answer to this question. In this paper the total combinatorical theory and the algorithm of building and enumeration of MSD are created here. 
@article{CHEB_2011_12_2_a16,
     author = {V. E. Firstov},
     title = {Combinatorial theory of magic squares out of domino},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {135--150},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2011_12_2_a16/}
}
TY  - JOUR
AU  - V. E. Firstov
TI  - Combinatorial theory of magic squares out of domino
JO  - Čebyševskij sbornik
PY  - 2011
SP  - 135
EP  - 150
VL  - 12
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHEB_2011_12_2_a16/
LA  - ru
ID  - CHEB_2011_12_2_a16
ER  - 
%0 Journal Article
%A V. E. Firstov
%T Combinatorial theory of magic squares out of domino
%J Čebyševskij sbornik
%D 2011
%P 135-150
%V 12
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHEB_2011_12_2_a16/
%G ru
%F CHEB_2011_12_2_a16
V. E. Firstov. Combinatorial theory of magic squares out of domino. Čebyševskij sbornik, Tome 12 (2011) no. 2, pp. 135-150. http://geodesic.mathdoc.fr/item/CHEB_2011_12_2_a16/

[1] Boll U., Kokseter G., Matematicheskie esse i razvlecheniya, Mir, M., 1986 | MR

[2] Golomb S. V., Polimino, Mir, M., 1975 | Zbl

[3] Dmitry Chelkak, Stanislav Smirnov, “Discrete complex analysis on isoradial graphs”, Advances in Mathematics, 228:3 (2011), 1590–1830 | DOI | MR

[4] Firstov V. E., “Algebraicheskie interpretatsii domino i ikh prilozheniya”, Matematicheskoe modelirovanie fizicheskikh, ekonomicheskikh, tekhnicheskikh, sotsialnykh sistem i protsessov, Trudy 4-i mezhdunarodnoi nauchno-tekhnicheskoi konferentsii, UlGU, Ulyanovsk, 2001, 149–151

[5] Postnikov M. M., Magicheskie kvadraty, Nauka, M., 1964

[6] Riordan Dzh., Vvedenie v kombinatornyi analiz, IL, M., 1963

[7] Vilenkin N. Ya., Kombinatorika, Nauka, M., 1969 | MR | Zbl

[8] Firstov V. E., “Algebraicheskie struktury na mnozhestve magicheskikh matrits”, Matematika. Mekhanika, 4, Izd-vo Sarat. un-ta, Saratov, 2002, 147–149

[9] Kokster G. S., Vvedenie v geometriyu, Nauka, M., 1966 | MR