메뉴 건너뛰기




Volumn 48, Issue 1, 2012, Pages 53-64

Unions of fat convex polytopes have short skeletons

Author keywords

Combinatorial complexity; Convex polytopes; Fat polytopes; Skeleton of union

Indexed keywords


EID: 84860887358     PISSN: 01795376     EISSN: 14320444     Source Type: Journal    
DOI: 10.1007/s00454-012-9422-8     Document Type: Article
Times cited : (5)

References (17)
  • 1
    • 70849085143 scopus 로고    scopus 로고
    • State of the union (of geometric objects): A review
    • J. Goodman, J. Pach, and R. Pollack (Eds.), Providence: Am. Math. Soc
    • Agarwal, P. K., Pach, J., Sharir, M.: State of the union (of geometric objects): A review. In: Goodman, J., Pach, J., Pollack, R. (eds.) Surveys on Discrete and Computational Geometry: Twenty Years Later, pp. 9-48. Am. Math. Soc., Providence (2008).
    • (2008) Surveys on Discrete and Computational Geometry: Twenty Years Later , pp. 9-48
    • Agarwal, P.K.1    Pach, J.2    Sharir, M.3
  • 3
    • 0038897223 scopus 로고    scopus 로고
    • Voronoi diagrams in higher dimensions under certain polyhedral distance functions
    • Boissonnat, J.-D., Sharir, M., Tagansky, B., Yvinec, M.: Voronoi diagrams in higher dimensions under certain polyhedral distance functions. Discrete Comput. Geom. 19, 485-519 (1998).
    • (1998) Discrete Comput. Geom. , vol.19 , pp. 485-519
    • Boissonnat, J.-D.1    Sharir, M.2    Tagansky, B.3    Yvinec, M.4
  • 5
    • 49249132575 scopus 로고    scopus 로고
    • Improved bounds on the union complexity of fat objects
    • de Berg, M.: Improved bounds on the union complexity of fat objects. Discrete Comput. Geom. 40, 127-140 (2008).
    • (2008) Discrete Comput. Geom. , vol.40 , pp. 127-140
    • de Berg, M.1
  • 6
    • 55249105710 scopus 로고    scopus 로고
    • Vertical ray shooting and computing depth orders for fat objects
    • de Berg, M., Gray, C.: Vertical ray shooting and computing depth orders for fat objects. SIAM J. Comput. 38, 257-275 (2008).
    • (2008) SIAM J. Comput. , vol.38 , pp. 257-275
    • de Berg, M.1    Gray, C.2
  • 7
    • 71449101504 scopus 로고    scopus 로고
    • Almost tight bound for the union of fat tetrahedra in three dimensions
    • Ezra, E., Sharir, M.: Almost tight bound for the union of fat tetrahedra in three dimensions. J. ACM 57(1), 2 (2009).
    • (2009) J. ACM , vol.57 , Issue.1 , pp. 2
    • Ezra, E.1    Sharir, M.2
  • 9
    • 0001243678 scopus 로고
    • An extremal property of the hypersphere
    • Macbeath, A. M.: An extremal property of the hypersphere. Proc. Camb. Philos. Soc. 47, 245-247 (1951).
    • (1951) Proc. Camb. Philos. Soc. , vol.47 , pp. 245-247
    • Macbeath, A.M.1
  • 11
    • 0036766931 scopus 로고    scopus 로고
    • On the boundary complexity of the union of fat triangles
    • Pach, J., Tardos, G.: On the boundary complexity of the union of fat triangles. SIAM J. Comput. 31, 1745-1760 (2002).
    • (2002) SIAM J. Comput. , vol.31 , pp. 1745-1760
    • Pach, J.1    Tardos, G.2
  • 12
    • 0038648110 scopus 로고    scopus 로고
    • The union of congruent cubes in three dimensions
    • Pach, J., Safruti, I., Sharir, M.: The union of congruent cubes in three dimensions. Discrete Comput. Geom. 30, 133-160 (2003).
    • (2003) Discrete Comput. Geom. , vol.30 , pp. 133-160
    • Pach, J.1    Safruti, I.2    Sharir, M.3
  • 13
    • 79960179559 scopus 로고    scopus 로고
    • On the structure and composition of forbidden sequences, with geometric applications
    • Pettie, S.: On the structure and composition of forbidden sequences, with geometric applications. In: Proc. 27th Annu. Symp. Comput. Geometry, pp. 370-379 (2011).
    • (2011) Proc. 27th Annu. Symp. Comput. Geometry , pp. 370-379
    • Pettie, S.1
  • 17
    • 0002275985 scopus 로고
    • Planar realization of nonlinear Davenport-Schinzel sequences by segments
    • Wiernik, A., Sharir, M.: Planar realization of nonlinear Davenport-Schinzel sequences by segments. Discrete Comput. Geom. 3, 15-47 (1988).
    • (1988) Discrete Comput. Geom. , vol.3 , pp. 15-47
    • Wiernik, A.1    Sharir, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.