메뉴 건너뛰기




Volumn 13, Issue , 2008, Pages 207-273

Faces of generalized permutohedra

Author keywords

Face numbers; Permutohedra; Polytopes

Indexed keywords


EID: 58149252147     PISSN: 14310635     EISSN: 14310643     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (333)

References (48)
  • 1
    • 29244436332 scopus 로고    scopus 로고
    • The Bergman complex of a matroid and phylogenetic trees
    • F. ARDILA, C. KLIVANS: The Bergman complex of a matroid and phylogenetic trees, J. Comb. Th. B 96 (2006), 38-49.
    • (2006) J. Comb. Th. B , vol.96 , pp. 38-49
    • ARDILA, F.1    KLIVANS, C.2
  • 3
    • 85161750090 scopus 로고    scopus 로고
    • G. AGNARSSON, W. MORRIS: On Minkowski Sums of Simplices, arXiv: math.CO/ 0605564.
    • G. AGNARSSON, W. MORRIS: On Minkowski Sums of Simplices, arXiv: math.CO/ 0605564.
  • 4
    • 56349139603 scopus 로고    scopus 로고
    • Bergman complexes, Coxeter arrangements, and graph associahedra
    • 54a (2006, B54Aj electronic
    • F. ARDILA, V. REINER, L. WILLIAMS: Bergman complexes, Coxeter arrangements, and graph associahedra, Sén. Lothar. Combin. 54a (2006), B54Aj (electronic).
    • Sén. Lothar. Combin
    • ARDILA, F.1    REINER, V.2    WILLIAMS, L.3
  • 6
    • 85161772609 scopus 로고    scopus 로고
    • Sign-graded posets, unimodality of W-polynomials and the Charney-Davis conjecture
    • Research Paper 9, 15 pp
    • P. BRÄNDÉN: Sign-graded posets, unimodality of W-polynomials and the Charney-Davis conjecture, Electron. J. Combin. 11 (2004/06), Research Paper 9, 15 pp.
    • (2006) Electron. J. Combin , pp. 11
    • BRÄNDÉN, P.1
  • 7
    • 38549181579 scopus 로고    scopus 로고
    • Actions on permutations and unimodality of descent polynomials
    • P. BRÄNDÉN: Actions on permutations and unimodality of descent polynomials, European J. Combin. 29 (2008), 2, 514-531.
    • (2008) European J. Combin , vol.29 , Issue.2 , pp. 514-531
    • BRÄNDÉN, P.1
  • 8
    • 84960552850 scopus 로고
    • On the partitions of a polygon
    • A. CAYLEY: On the partitions of a polygon, Proc. Lond. Math. Soc. 22 (1890), 237-262.
    • (1890) Proc. Lond. Math. Soc , vol.22 , pp. 237-262
    • CAYLEY, A.1
  • 10
    • 84972548954 scopus 로고
    • Euler characteristic of a nonpositively curved, piecewise Euclidean manifold
    • R. CHARNEY, M. DAVIS: Euler characteristic of a nonpositively curved, piecewise Euclidean manifold, Pac. J. Math. 171 (1995), 117-137.
    • (1995) Pac. J. Math , vol.171 , pp. 117-137
    • CHARNEY, R.1    DAVIS, M.2
  • 12
    • 28544442894 scopus 로고    scopus 로고
    • Fundamental groups of minimal blow-ups
    • M. DAVIS, T. JANUSZKIEWICZ, R. SCOTT: Fundamental groups of minimal blow-ups, Adv. Math. 177 (2003), 115-179.
    • (2003) Adv. Math , vol.177 , pp. 115-179
    • DAVIS, M.1    JANUSZKIEWICZ, T.2    SCOTT, R.3
  • 13
    • 33646889387 scopus 로고
    • Wonderful models for subspace arrangements
    • C. DE CONCINI, C. PROCESI: Wonderful models for subspace arrangements, Selecta Math. (N.S.) 1 (1995), 459-494.
    • (1995) Selecta Math. (N.S.) , vol.1 , pp. 459-494
    • DE CONCINI, C.1    PROCESI, C.2
  • 14
    • 0002913212 scopus 로고
    • h -shellings and h-complexes
    • P. H. EDELMAN, V. REINER:h -shellings and h-complexes, Adv. Math. 106 (1994), no. 1, 36-64.
    • (1994) Adv. Math , vol.106 , Issue.1 , pp. 36-64
    • EDELMAN, P.H.1    REINER, V.2
  • 15
    • 34748916280 scopus 로고    scopus 로고
    • Matroid polytopes, nested sets and Bergman fans
    • E.-M. FEICHTNER, B. STURMFELS: Matroid polytopes, nested sets and Bergman fans, Portugaliae Mathematica 62 (2005), 437- 468.
    • (2005) Portugaliae Mathematica , vol.62 , pp. 437-468
    • FEICHTNER, E.-M.1    STURMFELS, B.2
  • 16
    • 1542613137 scopus 로고    scopus 로고
    • Chow rings of toric varieties defined by atomic lattices
    • E.-M. FEICHTNER, S. YUZVINSKY: Chow rings of toric varieties defined by atomic lattices, Invent. Math. 155 (2004), 515-536.
    • (2004) Invent. Math , vol.155 , pp. 515-536
    • FEICHTNER, E.-M.1    YUZVINSKY, S.2
  • 17
    • 84972514233 scopus 로고
    • Incidence matrices and interval graphs
    • D. R. FULKERSON, O. A. GROSS: Incidence matrices and interval graphs, Pacific J. Math 15 (1965), 835-855.
    • (1965) Pacific J. Math , vol.15 , pp. 835-855
    • FULKERSON, D.R.1    GROSS, O.A.2
  • 18
    • 0002893741 scopus 로고
    • Introduction to toric varieties
    • Princeton University Press, Princeton, NJ
    • W. FULTON: Introduction to toric varieties, Annals of Mathematics Studies,131, Princeton University Press, Princeton, NJ, 1993.
    • (1993) Annals of Mathematics Studies , pp. 131
    • FULTON, W.1
  • 19
    • 0000688160 scopus 로고
    • A compactification of configuration spaces
    • W. FULTON, R. MACPHERSON: A compactification of configuration spaces, Ann. Math. 139 (1994), 183-225.
    • (1994) Ann. Math , vol.139 , pp. 183-225
    • FULTON, W.1    MACPHERSON, R.2
  • 20
    • 23944468024 scopus 로고    scopus 로고
    • Real root conjecture fails for five- and higher- dimensional spheres
    • 34 2005
    • S. R. GAL: Real root conjecture fails for five- and higher- dimensional spheres. Discrete Comput. Georn. 34 (2005), no. 2, 269-284.
    • Discrete Comput. Georn , Issue.2 , pp. 269-284
    • GAL, S.R.1
  • 22
    • 85161779375 scopus 로고    scopus 로고
    • C. GREENE, T. ZASLAVSKY: On the interpretation of Whitney numbers through arrangements of hyperplanes, zonotopes, non- Radon partitions, and orientations of graphs. Trans. Arner. Math. Soc. 280 (1983), no. 1, 97-126.
    • C. GREENE, T. ZASLAVSKY: On the interpretation of Whitney numbers through arrangements of hyperplanes, zonotopes, non- Radon partitions, and orientations of graphs. Trans. Arner. Math. Soc. 280 (1983), no. 1, 97-126.
  • 24
    • 84967499609 scopus 로고
    • The associahedron and triangulations of the n-gon
    • C. W. LEE: The associahedron and triangulations of the n-gon, European J. Combin. 10 (1989), no. 6, 551-560.
    • (1989) European J. Combin , vol.10 , Issue.6 , pp. 551-560
    • LEE, C.W.1
  • 25
    • 5644285528 scopus 로고    scopus 로고
    • Realization of the Stasheff polytope
    • arXiv: math.AT/0212126
    • J.-L. LODAY: Realization of the Stasheff polytope, Archivder Mathematik (Basel) 83 (2004), no. 3, 267-278; arXiv: math.AT/0212126.
    • (2004) Archivder Mathematik (Basel) , vol.83 , Issue.3 , pp. 267-278
    • LODAY, J.-L.1
  • 26
    • 0004205061 scopus 로고
    • Cambridge, reprinted by the American Mathematical Society, 2001
    • P. A. MACMAHON: Combinatory Analysis, Vol. I, Cambridge, 1917; reprinted by the American Mathematical Society, 2001.
    • (1917) Combinatory Analysis , vol.1
    • MACMAHON, P.A.1
  • 27
    • 12144250504 scopus 로고    scopus 로고
    • Restricted 132-alternating permutations and Cheby- shev polynomials
    • T. MANSOUR: Restricted 132-alternating permutations and Cheby- shev polynomials, Ann. Comb. 7 (2003), 2, 201-227.
    • (2003) Ann. Comb , vol.7 , Issue.2 , pp. 201-227
    • MANSOUR, T.1
  • 28
    • 0039066034 scopus 로고
    • Representations of polytopes and polyhedral sets
    • P. MCMUJLLEN: Representations of polytopes and polyhedral sets, Geometriae Dedicata 2 (1973), 83-99.
    • (1973) Geometriae Dedicata , vol.2 , pp. 83-99
    • MCMUJLLEN, P.1
  • 31
    • 8844227797 scopus 로고    scopus 로고
    • The Charney-Davis quantity for certain graded posets
    • 50 2003/04, Art. B50c, 13 pp
    • V. REINER, D. STANTON, V. WELKER: The Charney-Davis quantity for certain graded posets, Sém. Lothar. Combin. 50 (2003/04), Art. B50c, 13 pp.
    • Sém. Lothar. Combin
    • REINER, V.1    STANTON, D.2    WELKER, V.3
  • 33
    • 0000383398 scopus 로고
    • Combinatorial statistics on noncrossing partitions
    • R. SIMION: Combinatorial statistics on noncrossing partitions, J. Combin. Theory Ser. A 66 (1994), 270-301.
    • (1994) J. Combin. Theory Ser. A , vol.66 , pp. 270-301
    • SIMION, R.1
  • 34
    • 0038404932 scopus 로고    scopus 로고
    • A type-B associahedron
    • R. SIMION: A type-B associahedron, Adv. in Appl. Math. 30 (2003), 2-25.
    • (2003) Adv. in Appl. Math , vol.30 , pp. 2-25
    • SIMION, R.1
  • 36
    • 0002207827 scopus 로고
    • On the structure of the lattice of non- crossing partitions
    • R. SIMLON, D. ULLMAN: On the structure of the lattice of non- crossing partitions. Discrete Math. 98 (1991), 193-206.
    • (1991) Discrete Math , vol.98 , pp. 193-206
    • SIMLON, R.1    ULLMAN, D.2
  • 37
    • 84968473984 scopus 로고
    • Subdivisions and local h-vectors
    • R. P. STANLEY: Subdivisions and local h-vectors, J. Amer. Math. Soc. 5 (1992), 805-851:
    • (1992) J. Amer. Math. Soc , vol.5 , pp. 805-851
    • STANLEY, R.P.1
  • 38
    • 0004168246 scopus 로고    scopus 로고
    • Combinatorics and commutative algebra
    • 2nd edition, Birkhäuser Boston, Inc, Boston, MA
    • R. P. STANLEY: Combinatorics and commutative algebra, 2nd edition, Progress in Mathematics 41, Birkhäuser Boston, Inc., Boston, MA, 1996.
    • (1996) Progress in Mathematics , vol.41
    • STANLEY, R.P.1
  • 39
    • 0003652674 scopus 로고    scopus 로고
    • Cambridge University Press, New York
    • R. P. STANLEY: Enumerative combinatorics, Volume 1, Cambridge University Press, New York, 1997.
    • (1997) Enumerative combinatorics , vol.1
    • STANLEY, R.P.1
  • 41
    • 0035999218 scopus 로고    scopus 로고
    • A polytope related to empirical distributions, plane trees, parking functions, and the associahedron
    • arXiv: math.CO/9908029
    • R. P. STANLEY, J. PITMAN: A polytope related to empirical distributions, plane trees, parking functions, and the associahedron, Discrete & Computational Geometry 27 (2002), no. 4, 603-634; arXiv: math.CO/9908029.
    • (2002) Discrete & Computational Geometry , vol.27 , Issue.4 , pp. 603-634
    • STANLEY, R.P.1    PITMAN, J.2
  • 42
    • 85161789484 scopus 로고    scopus 로고
    • Homotopy associativity of H-spaces, I, II
    • 108 1963, ibid
    • J. D. STASHEFF: Homotopy associativity of H-spaces, I, II, Trans. Arner. Math. Soc. 108 (1963), 275-292; ibid. 293-312.
    • Trans. Arner. Math. Soc
    • STASHEFF, J.D.1
  • 43
    • 38849177316 scopus 로고    scopus 로고
    • Coxeter cones and their h-vectors
    • J. STEMBRIDGE: Coxeter cones and their h-vectors, Adv. Math. 217 (2008), 1935-1961.
    • (2008) Adv. Math , vol.217 , pp. 1935-1961
    • STEMBRIDGE, J.1
  • 46
    • 8544254107 scopus 로고
    • Stuctural determination of paraffin boiling points
    • H. WIENER: Stuctural determination of paraffin boiling points, J. Arner. Chern. Soc. 69 (1947), 17-20.
    • (1947) J. Arner. Chern. Soc , vol.69 , pp. 17-20
    • WIENER, H.1
  • 47
    • 58149224232 scopus 로고    scopus 로고
    • Nested complexes and their polyhedral realizations
    • A. ZELEVINSKY: Nested complexes and their polyhedral realizations, Pure and Applied Mathematics Quarterly 2 (2006), 655-671.
    • (2006) Pure and Applied Mathematics Quarterly , vol.2 , pp. 655-671
    • ZELEVINSKY, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.