Title:
|
Tilings and isoperimetrical shapes I: Square lattice (English) |
Author:
|
Gravier, Sylvain |
Author:
|
Payan, Charles |
Language:
|
English |
Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
ISSN:
|
0231-9721 |
Volume:
|
40 |
Issue:
|
1 |
Year:
|
2001 |
Pages:
|
63-77 |
. |
Category:
|
math |
. |
MSC:
|
05B45 |
MSC:
|
05B50 |
MSC:
|
52A40 |
MSC:
|
52C20 |
idZBL:
|
Zbl 1042.52019 |
idMR:
|
MR1904686 |
. |
Date available:
|
2009-01-29T16:01:07Z |
Last updated:
|
2012-05-03 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120441 |
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Related article:
|
http://dml.cz/handle/10338.dmlcz/120423 |
. |
Reference:
|
[1] Alonso L., Cerf R.: The three dimensional polyominoes of minimal area.Electronic J. of Combin. 3 (1996), 1-39. Zbl 0885.05056, MR 1410882 |
Reference:
|
[2] Bollobás B., Leader I.: Compressions and Isoperimetric Inequalities.J. Combin. Theory Ser. A 56 (1991), 47-62. Zbl 0731.05043, MR 1082842 |
Reference:
|
[3] Bosch R. A.: A Pentomino Exclusion Problem.Mathematical Programming Newsletter, Optima 60 (december 1998), 3. |
Reference:
|
[4] Bosch R. A.: Peaceably Coexisting Armies of Queens.Mathematical Programming Newsletter, Optima 62 (June 1999), 3. MR 1244056 |
Reference:
|
[5] Golomb S. W.: Polyominoes - Puzzles, Patterns, Problems, and Packings.Princeton Science Library, 1994. Zbl 0831.05020, MR 1291821 |
Reference:
|
[6] Melissen H.: Packing and Covering with Circles.PhD Thesis, Proefschrift Universiteit Utrecht, Nederland, 1997. |
Reference:
|
[7] Wang D.-L., Wang P.: Extremal configurations on a discrete torus and a generalization of the generalized Macaulay theorem.SIAM J. Appl. Math. 33 (1977), 55-59. Zbl 0362.05048, MR 0438237 |
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