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Volumn 36, Issue 4, 2002, Pages 389-399

Integer partitions, tilings of 2D-gons and lattices

Author keywords

Discrete dynamical models; Integer partitions; Lattices; Sand pile model; Tilings of 2D gons

Indexed keywords

ALGORITHMS; GEOMETRY; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; THEOREM PROVING; VECTORS;

EID: 0036818393     PISSN: 09883754     EISSN: 28047346     Source Type: Journal    
DOI: 10.1051/ita:2003004     Document Type: Article
Times cited : (6)

References (18)
  • 1
    • 0003341319 scopus 로고
    • The theory of partitions
    • Addison-Wesley Publishing Company
    • G.E. Andrews, The Theory of Partitions. Addison-Wesley Publishing Company, Encyclopedia Math. Appl. 2 (1976).
    • (1976) Encyclopedia Math. Appl. , vol.2
    • Andrews, G.E.1
  • 2
    • 0033433530 scopus 로고    scopus 로고
    • Coherence and enumeration of tilings of 3-zonotopes
    • G.D. Bailey, Coherence and enumeration of tilings of 3-zonotopes. Discrete Comput. Geom. 22 (1999) 119-147.
    • (1999) Discrete Comput. Geom. , vol.22 , pp. 119-147
    • Bailey, G.D.1
  • 3
    • 0004125183 scopus 로고    scopus 로고
    • Tilings of zonotopes: Discriminantal arrangements, oriented matroids, and enumeration
    • Ph.D. Thesis. University of Minnesota
    • G.D. Bailey, Tilings of zonotopes: Discriminantal arrangements, oriented matroids, and enumeration, Ph.D. Thesis. University of Minnesota (1997).
    • (1997)
    • Bailey, G.D.1
  • 4
    • 0001467713 scopus 로고
    • The lattice of integer partitions
    • T. Brylawski, The lattice of integer partitions. Discrete Math. 6 (1973) 210-219.
    • (1973) Discrete Math. , vol.6 , pp. 210-219
    • Brylawski, T.1
  • 8
    • 0031138554 scopus 로고    scopus 로고
    • Configurational entropy of codimension-one tilings and directed membranes
    • N. Destainville, R. Mosseri and F. Bailly, Configurational entropy of codimension-one tilings and directed membranes. J. Statist. Phys. 87 (1997) 697.
    • (1997) J. Statist. Phys. , vol.87 , pp. 697
    • Destainville, N.1    Mosseri, R.2    Bailly, F.3
  • 9
    • 0012173664 scopus 로고    scopus 로고
    • Fixed-boundary octogonal random tilings: A combinatorial approach
    • Preprint
    • N. Destainville, R. Mosseri and F. Bailly, Fixed-boundary octogonal random tilings: A combinatorial approach. Preprint (1999).
    • (1999)
    • Destainville, N.1    Mosseri, R.2    Bailly, F.3
  • 10
    • 0004215159 scopus 로고    scopus 로고
    • Entropie configurationnelle des pavages aléatoires et des membranes dirigées
    • Ph.D. Thesis. University Paris VI
    • N. Destainville, Entropie configurationnelle des pavages aléatoires et des membranes dirigées, Ph.D. Thesis. University Paris VI (1997).
    • (1997)
    • Destainville, N.1
  • 11
    • 0031071060 scopus 로고    scopus 로고
    • Rhombic tilings of polygons and classes of reduced words in coxeter groups
    • S. Elnitsky, Rhombic tilings of polygons and classes of reduced words in coxeter groups. J. Combin. Theory 77 (1997) 193-221.
    • (1997) J. Combin. Theory , vol.77 , pp. 193-221
    • Elnitsky, S.1
  • 12
    • 0027626464 scopus 로고
    • Games on line graphs and sand piles
    • E. Goles and M.A. Kiwi, Games on line graphs and sand piles. Theoret. Comput. Sci. 115 (1993) 321-349.
    • (1993) Theoret. Comput. Sci. , pp. 321-349
    • Goles, E.1    Kiwi, M.A.2
  • 13
    • 0027574883 scopus 로고
    • Tilings of polygons with parallelograms
    • R. Kenyon, Tilings of polygons with parallelograms. Algorithmica 9 (1993) 382-397.
    • (1993) Algorithmica , vol.9 , pp. 382-397
    • Kenyon, R.1
  • 14
    • 0012209532 scopus 로고    scopus 로고
    • The lattice of integer partitions and its infinite extension
    • Preprint (to appear) available at
    • M. Latapy and H.D. Phan, The lattice of integer partitions and its infinite extension, in DMTCS, Special Issue, Proc. of ORDAL'99. Preprint (to appear) available at http://www.liafa.jussieu.fr/~latapy/
    • DMTCS, Special Issue, Proc. of ORDAL'99
    • Latapy, M.1    Phan, H.D.2
  • 15
    • 0012203273 scopus 로고    scopus 로고
    • Generalized integer partitions, tilings of zonotopes and lattices
    • edited by A.A. Mikhalev, D. Krob and E.V. Mikhalev, Springer
    • M. Latapy, Generalized integer partitions, tilings of zonotopes and lattices, in Proc. of the 12-th international conference Formal Power Series and Algebraic Combinatorics (FPSAC'00), edited by A.A. Mikhalev, D. Krob and E.V. Mikhalev, Springer (2000) 256-267. Prepint available at http://www.liafa.jussieu.fr/~latapy/
    • (2000) Proc. of the 12-th International Conference Formal Power Series and Algebraic Combinatorics (FPSAC'00) , pp. 256-267
    • Latapy, M.1
  • 16
    • 0034912302 scopus 로고    scopus 로고
    • Structure of some sand piles model
    • M. Latapy, R. Mantaci, M. Morvan and Ha Duong Phan, Structure of some sand piles model. Theoret. Comput. Sci. 262 (2001) 525-556 Preprint available at http://www.liafa.jussieu.fr/~latapy/
    • (2001) Theoret. Comput. Sci. , vol.262 , pp. 525-556
    • Latapy, M.1    Mantaci, R.2    Morvan, M.3    Duong Phan, H.4
  • 17
    • 0003045152 scopus 로고
    • Ordered structures and partitions
    • R.P. Stanley, Ordered structures and partitions. Mem. ACM 119 (1972)
    • (1972) Mem. ACM , vol.119
    • Stanley, R.P.1
  • 18
    • 0004159676 scopus 로고
    • Lectures on polytopes
    • Springer-Verlag
    • G. Ziegler, Lectures on Polytopes. Springer-Verlag, Grad. Texts in Math (1995).
    • (1995) Grad. Texts in Math
    • Ziegler, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.