메뉴 건너뛰기




Volumn 233, Issue 3, 2000, Pages 421-441

Monotonicity of the cd-index for polytodes

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034147142     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002090050480     Document Type: Article
Times cited : (36)

References (32)
  • 1
    • 38249038421 scopus 로고
    • The extended f-vectors of 4-polytopes
    • Bayer, M.: The extended f-vectors of 4-polytopes. J. Combin. Theory Ser. A 44, 141-151 (1987)
    • (1987) J. Combin. Theory Ser. A , vol.44 , pp. 141-151
    • Bayer, M.1
  • 2
    • 0000180080 scopus 로고
    • Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially ordered sets
    • Bayer, M., Billera, L.: Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially ordered sets. Invent. Math. 79, 143-157 (1985)
    • (1985) Invent. Math. , vol.79 , pp. 143-157
    • Bayer, M.1    Billera, L.2
  • 3
    • 0002255919 scopus 로고
    • Counting faces and chains in polytopes and posets
    • Greene, C., ed.: Providence: American Mathematical Society
    • Bayer, M., Billera, L.: Counting faces and chains in polytopes and posets. In: Greene, C., ed.: Combinatorics and Algebra (Contemporary Mathematics, Vol. 34, pp. 207-252) Providence: American Mathematical Society 1984
    • (1984) Combinatorics and Algebra Contemporary Mathematics , vol.34 , pp. 207-252
    • Bayer, M.1    Billera, L.2
  • 6
    • 0002022246 scopus 로고
    • Combinatorial aspects of convex polytopes
    • Gruber, P.M., Wills, J.M., eds.: Chapter 2.3, Amsterdam: Elsevier Science Publishers B. V.
    • Bayer, M., Lee, C.W.: Combinatorial Aspects of Convex Polytopes. In: Gruber, P.M., Wills, J.M., eds.: Handbook of Convex Geometry, Volume A (Chapter 2.3, pp. 485-534) Amsterdam: Elsevier Science Publishers B. V. 1993
    • (1993) Handbook of Convex Geometry , vol.A , pp. 485-534
    • Bayer, M.1    Lee, C.W.2
  • 7
    • 0000345952 scopus 로고    scopus 로고
    • Face numbers of polytopes and complexes
    • Goodman, J.E., O'Rourke, J., eds.: Boca Raton New York: CRC Press
    • Billera, L.J., Björner, A.: Face numbers of polytopes and complexes. In: Goodman, J.E., O'Rourke, J., eds.: Handbook of Discrete and Computational Geometry (pp. 291-310) Boca Raton New York: CRC Press 1997
    • (1997) Handbook of Discrete and Computational Geometry , pp. 291-310
    • Billera, L.J.1    Björner, A.2
  • 9
    • 0002359818 scopus 로고    scopus 로고
    • The cd-index of zonotopes and arrangements
    • Sagan, B.E., Stanley, R.P., eds.: Boston: Birkhäuser
    • Billera, L.J., Ehrenborg, R., Readdy, M.: The cd-index of zonotopes and arrangements. In: Sagan, B.E., Stanley, R.P., eds.: Mathematical essays in honor of Gian-Carlo Rota (pp. 23-40) Boston: Birkhäuser 1998
    • (1998) Mathematical Essays in Honor of Gian-carlo Rota , pp. 23-40
    • Billera, L.J.1    Ehrenborg, R.2    Readdy, M.3
  • 10
    • 0001495610 scopus 로고
    • A proof of the sufficiency of Mcmullen's conditions for f-vectors of simplicial polytopes
    • Billera, L.J., Lee, C.W.: A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial polytopes, J. Combin. Theory Ser. A 31, 237-255 (1981)
    • (1981) J. Combin. Theory Ser. A , vol.31 , pp. 237-255
    • Billera, L.J.1    Lee, C.W.2
  • 11
    • 85013341050 scopus 로고    scopus 로고
    • Noncommutative enumeration in graded posets
    • To appear in
    • Billera, L.J., Liu, N.: Noncommutative enumeration in graded posets. To appear in J. Algebraic Combin.
    • J. Algebraic Combin.
    • Billera, L.J.1    Liu, N.2
  • 12
    • 85045781083 scopus 로고    scopus 로고
    • Intersection homology of toric varieties and a conjecture of Kalai
    • To appear in
    • Braden, T.C., MacPherson, R.: Intersection homology of toric varieties and a conjecture of Kalai. To appear in Comment. Math. Helv.
    • Comment. Math. Helv.
    • Braden, T.C.1    Macpherson, R.2
  • 13
    • 0000916326 scopus 로고
    • Shellable decompositions of spheres and cells
    • Bruggesser, H., Mani, P.: Shellable decompositions of spheres and cells. Math. Scand. 29, 197-205 (1971)
    • (1971) Math. Scand. , vol.29 , pp. 197-205
    • Bruggesser, H.1    Mani, P.2
  • 19
    • 0030515071 scopus 로고    scopus 로고
    • On the cd-variation polynomials of André and simsun permutations
    • Hetyei, G.: On the cd-variation polynomials of André and simsun permutations. Discrete Comput. Geom. 16, 259-275 (1996)
    • (1996) Discrete Comput. Geom. , vol.16 , pp. 259-275
    • Hetyei, G.1
  • 20
    • 0000345052 scopus 로고
    • A new basis of polytopes
    • Kalai, G.: A new basis of polytopes. J. Combin. Theory Ser. A 49, 191-209 (1988)
    • (1988) J. Combin. Theory Ser. A , vol.49 , pp. 191-209
    • Kalai, G.1
  • 22
    • 84976163829 scopus 로고
    • The maximum numbers of faces of a convex polytope
    • McMullen, P.: The maximum numbers of faces of a convex polytope. Mathematika 17, 179-184 (1970)
    • (1970) Mathematika , vol.17 , pp. 179-184
    • McMullen, P.1
  • 25
    • 0001226169 scopus 로고
    • Extremal problems for the Möbius function in the face lattice of the n-octahedron
    • Readdy, M.A.: Extremal problems for the Möbius function in the face lattice of the n-octahedron. Discrete Math., Special issue on Algebraic Combinatorics 139, 361-380 (1995)
    • (1995) Discrete Math., Special Issue on Algebraic Combinatorics , vol.139 , pp. 361-380
    • Readdy, M.A.1
  • 26
    • 0000194752 scopus 로고
    • The number of faces of simplicial convex polytopes
    • Stanley, R.P.: The number of faces of simplicial convex polytopes. Adv. Math. 35, 236-238 (1980)
    • (1980) Adv. Math. , vol.35 , pp. 236-238
    • Stanley, R.P.1
  • 28
    • 0001315603 scopus 로고
    • Generalized h-vectors, intersection cohomology of toric varieties, and related results
    • Nagata, M., Matsumura, H., eds.: Tokyo: Kinokuniya and Amsterdam New York: North-Holland
    • Stanley, R.P.: Generalized h-vectors, intersection cohomology of toric varieties, and related results. In: Nagata, M., Matsumura, H., eds.: Commutative Algebra and Combinatorics (Advanced Studies in Pure Mathematics 11, pp. 187-213) Tokyo: Kinokuniya and Amsterdam New York: North-Holland 1987
    • (1987) Commutative Algebra and Combinatorics Advanced Studies in Pure Mathematics , vol.11 , pp. 187-213
    • Stanley, R.P.1
  • 29
    • 51249168788 scopus 로고
    • Flag f-vectors and the cd-index
    • Stanley, R.P.: Flag f-vectors and the cd-index. Math. Z. 216, 483-499 (1994)
    • (1994) Math. Z. , vol.216 , pp. 483-499
    • Stanley, R.P.1
  • 30
    • 0000453587 scopus 로고
    • A survey of Eulerian posets
    • Bisztriczky, T., McMullen, P., Schneider, R., Weiss, A.I., eds.: Dordrecht: Kluwer Academic Publishers
    • Stanley, R.P.: A survey of Eulerian posets. In: Bisztriczky, T., McMullen, P., Schneider, R., Weiss, A.I., eds.: Polytopes: Abstract, Convex, and Computational (NATO ASI Series C, vol. 440, pp. 301-333) Dordrecht: Kluwer Academic Publishers 1994
    • (1994) Polytopes: Abstract, Convex, and Computational NATO ASI Series C , vol.440 , pp. 301-333
    • Stanley, R.P.1
  • 31
    • 0002356047 scopus 로고
    • Über die eulerischen polyderrelationen
    • Steinitz, E.: Über die Eulerischen Polyderrelationen. Arch. Math. Phys. 11, 86-88 (1906)
    • (1906) Arch. Math. Phys. , vol.11 , pp. 86-88
    • Steinitz, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.