Geodesic
Tilings and isoperimetrical shapes I: Square lattice
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 40 (2001) no. 1, pp. 63-77 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 05B45, 05B50, 52A40, 52C20 
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Gravier, Sylvain; Payan, Charles. Tilings and isoperimetrical shapes I: Square lattice. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 40 (2001) no. 1, pp. 63-77. http://geodesic.mathdoc.fr/item/AUPO_2001_40_1_a8/

[1] Alonso L., Cerf R.: The three dimensional polyominoes of minimal area. Electronic J. of Combin. 3 (1996), 1-39. | MR | Zbl

[2] Bollobás B., Leader I.: Compressions and Isoperimetric Inequalities. J. Combin. Theory Ser. A 56 (1991), 47-62. | MR | Zbl

[3] Bosch R. A.: A Pentomino Exclusion Problem. Mathematical Programming Newsletter, Optima 60 (december 1998), 3.

[4] Bosch R. A.: Peaceably Coexisting Armies of Queens. Mathematical Programming Newsletter, Optima 62 (June 1999), 3. | MR

[5] Golomb S. W.: Polyominoes - Puzzles, Patterns, Problems, and Packings. Princeton Science Library, 1994. | MR | Zbl

[6] Melissen H.: Packing and Covering with Circles. PhD Thesis, Proefschrift Universiteit Utrecht, Nederland, 1997.

[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. | MR | Zbl