메뉴 건너뛰기




Volumn 104, Issue 2, 2003, Pages 265-285

The order dimension of the poset of regions in a hyperplane arrangement

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0347534178     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcta.2003.08.002     Document Type: Article
Times cited : (16)

References (16)
  • 1
    • 0042638007 scopus 로고    scopus 로고
    • Modular elements in the lattice L(A) when A is a real reflection arrangement
    • Selected papers in honor of Adriano Garsia
    • H. Barcelo, E. Ihrig, Modular elements in the lattice L(A) when A is a real reflection arrangement, Selected papers in honor of Adriano Garsia, Discrete Math. 193 (1-3) (1998) 61-68.
    • (1998) Discrete Math. , vol.193 , Issue.1-3 , pp. 61-68
    • Barcelo, H.1    Ihrig, E.2
  • 3
    • 77950315122 scopus 로고
    • Éléments de mathématique
    • Groupes et algèbres de Lie, Chapitres 4, 5 et 6, Masson, Paris
    • N. Bourbaki, Éléments de mathématique. Groupes et algèbres de Lie. Chapitres 4, 5 et 6, Masson, Paris, 1981.
    • (1981)
    • Bourbaki, N.1
  • 4
    • 0346464360 scopus 로고    scopus 로고
    • Cayley lattices of finite Coxeter groups are bounded
    • preprint
    • N. Caspard, C. Le Conte de Poly-Barbut, M. Morvan, Cayley lattices of finite Coxeter groups are bounded, preprint, 2001.
    • (2001)
    • Caspard, N.1    Le Conte de Poly-Barbut, C.2    Morvan, M.3
  • 5
    • 0000087921 scopus 로고
    • Partially ordered sets
    • B. Dushnik, E. Miller, Partially ordered sets, Amer. J. Math. 63 (1941) 600-610.
    • (1941) Amer. J. Math. , vol.63 , pp. 600-610
    • Dushnik, B.1    Miller, E.2
  • 6
    • 84967712844 scopus 로고
    • n dissected by hyperplanes
    • n dissected by hyperplanes, Trans. Amer. Math. Soc. 283 (2) (1984) 617-631.
    • (1984) Trans. Amer. Math. Soc. , vol.283 , Issue.2 , pp. 617-631
    • Edelman, P.1
  • 7
    • 0042226624 scopus 로고    scopus 로고
    • Dimension, graph and hypergraph coloring
    • S. Felsner, W. Trotter, Dimension, graph and hypergraph coloring, Order 17 (2) (2000) 167-177.
    • (2000) Order , vol.17 , Issue.2 , pp. 167-177
    • Felsner, S.1    Trotter, W.2
  • 8
    • 0141773092 scopus 로고
    • The order dimension of multinomial lattices
    • S. Flath, The order dimension of multinomial lattices, Order 10 (3) (1993) 201-219.
    • (1993) Order , vol.10 , Issue.3 , pp. 201-219
    • Flath, S.1
  • 9
    • 0039371650 scopus 로고
    • Interval orders and shift graphs
    • Budapest Colloq. Math. Soc. János Bolyai 60 (1992) North Holland, Amsterdam
    • Z. Füredi, P. Hajnal, V. Rödl, W. Trotter, Interval orders and shift graphs, in: Sets, Graphs and Numbers, Budapest, 1991, pp. 297-313, Colloq. Math. Soc. János Bolyai 60 (1992), North Holland, Amsterdam.
    • (1991) Sets, Graphs and Numbers , pp. 297-313
    • Füredi, Z.1    Hajnal, P.2    Rödl, V.3    Trotter, W.4
  • 12
    • 0000081099 scopus 로고
    • The rank of a distributive lattice
    • I. Rabinovitch, I. Rival, The rank of a distributive lattice, Discrete Math. 25 (3) (1979) 275-279.
    • (1979) Discrete Math. , vol.25 , Issue.3 , pp. 275-279
    • Rabinovitch, I.1    Rival, I.2
  • 13
    • 0141773093 scopus 로고    scopus 로고
    • Lattice and order properties of the poset of regions in a hyperplane arrangement
    • Algebra Universalis, in press
    • N. Reading, Lattice and order properties of the poset of regions in a hyperplane arrangement, Algebra Universalis, in press.
    • Reading, N.1
  • 15
    • 0000434570 scopus 로고
    • The complexity of the partial order dimension problem
    • M. Yannakakis, The complexity of the partial order dimension problem, SIAM J. Algebraic Discrete Methods 3 (3) (1982) 351-358.
    • (1982) SIAM J. Algebraic Discrete Methods , vol.3 , Issue.3 , pp. 351-358
    • Yannakakis, M.1
  • 16
    • 38249021984 scopus 로고
    • Combinatorial construction of logarithmic differential forms
    • G. Ziegler, Combinatorial construction of logarithmic differential forms, Adv. Math. 76 (1) (1989) 116-154.
    • (1989) Adv. Math. , vol.76 , Issue.1 , pp. 116-154
    • Ziegler, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.