| Title:
|
Tilings and isoperimetrical shapes. II. Hexagonal lattice (English) |
| Author:
|
Gravier, Sylvain |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
40 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
79-92 |
| . |
| Category:
|
math |
| . |
| MSC:
|
52A40 |
| MSC:
|
52C20 |
| idZBL:
|
Zbl 1042.52018 |
| idMR:
|
MR1904687 |
| . |
| Date available:
|
2009-01-29T16:01:10Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120423 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/120441 |
| . |
| 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] Conway J. H., Sloane N. J. A.: Sphere Packings, Lattices and Groups.Springer-Verlag, 1996. |
| Reference:
|
[6] Golomb S. W.: Polyominoes -Puzzles, Patterns, Problems, and Packings.Princeton Science Library, 1994. Zbl 0831.05020, MR 1291821 |
| Reference:
|
[7] Gravier S., Payan, C: Tilings and Isoperimetrical Shapes I: Square lattice.Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 40 (2001), 57-71. Zbl 1042.52019, MR 1904686 |
| Reference:
|
[8] Gravier S., Payan, C: Pentomino Exclusion Problem.Disc. and Comput. Geom., (1999), (to appear). MR 1854107 |
| Reference:
|
[9] Melissen H.: Packing and Covering with Circles.PhD Thesis, Proefschrift Universiteit Utrecht, Nederland, 1997. |
| Reference:
|
[10] 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 |
| . |
