Discrete & Computational Geometry, Volume 19

Volume 19, Number 1, 1998

• Raimund Seidel:
  The Nature and Meaning of Perturbations in Geometric Computing. 1-17
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• J. C. Lagarias, N. Prabhu:
  Counting d -Step Paths in Extremal Dantzig Figures. 19-31
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• F. B. Holt, Victor Klee:
  Counterexamples to the Strong d -Step Conjecture for d ge 5. 33-46
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• E. Rannou:
  The Complexity of Stratification Computation. 47-78
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• Yuri Rabinovich, Ran Raz:
  Lower Bounds on the Distortion of Embedding Finite Metric Spaces in Graphs. 79-94
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• Pankaj K. Agarwal, Nina Amenta, Micha Sharir:
  Largest Placement of One Convex Polygon Inside Another. 95-104
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• Jirí Matousek, Petr Plechác:
  On Functional Separately Convex Hulls. 105-130
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• Drago Krznaric, Christos Levcopoulos:
  Fast Algorithms for Complete Linkage Clustering. 131-145
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Volume 19, Number 2, 1998

• H. S. M. Coxeter:
  Seven Cubes and Ten 24-Cells. 151-157
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• Günter M. Ziegler:
  Shelling Polyhedral 3-Balls and 4-Polytopes. 159-174
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• Sergei Bespamyatnikh:
  An Optimal Algorithm for Closest-Pair Maintenance. 175-195
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• Ulrich Betke, Martin Henk:
  Finite Packings of Spheres. 197-227
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• E. Lutwak:
  Containment and Circumscribing Simplices. 229-235
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• Farhad Shahrokhi, Ondrej Sýkora, László A. Székely, Imrich Vrto:
  Intersection of Curves and Crossing Number of C_m x C_n on Surfaces. 237-247
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• Bojan Mohar, Pierre Rosenstiehl:
  Tessellation and Visibility Representations of Maps on the Torus. 249-263
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• Hisao Tamaki, Takeshi Tokuyama:
  How to Cut Pseudoparabolas into Segments. 265-290
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• Horst Martini, Valeriu Soltan:
  Minimum Convex Partition of Polygonal Domains by Guillotine Cuts. 291-305
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Volume 19, Number 3, 1998

• János Pach:
  Guest Editor's Foreword. 311-313
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• Pankaj K. Agarwal, Boris Aronov, Timothy M. Chan, Micha Sharir:
  On Levels in Arrangements of Lines, Segments, Planes, and Triangles%. 315-331
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• Noga Alon:
  Piercing d -Intervals. 333-334
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• Imre Bárány, Pavel Valtr:
  A Positive Fraction Erdos - Szekeres Theorem. 335-342
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• Yuri F. Bilu, Vsevolod F. Lev, Imre Z. Ruzsa:
  Rectification Principles in Additive Number Theory. 343-354
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• Peter Braß:
  On Point Sets with Many Unit Distances in Few Directions. 355-366
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• Fan R. K. Chung, Ronald L. Graham:
  Forced Convex n -Gons in the Plane. 367-371
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• Tamal K. Dey:
  Improved Bounds for Planar k -Sets and Related Problems. 373-382
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• György Elekes:
  A Combinatorial Problem on Polynomials. 383-389
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• Peter C. Fishburn:
  Isosceles Planar Subsets. 390-398
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• Meir Katchalski, Hagit Last:
  On Geometric Graphs with No Two Edges in Convex Position. 399-404
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• Daniel J. Kleitman, Lior Pachter:
  Finding Convex Sets Among Points in the Plane. 405-410
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• M. Laczkovich:
  Tilings of Polygons with Similar Triangles, II. 411-425
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• János Pach, József Solymosi:
  Canonical Theorems for Convex Sets. 427-435
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• János Pach, Géza Tóth:
  A Generalization of the Erdos - Szekeres Theorem to Disjoint Convex Sets. 437-445
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• István Talata:
  Exponential Lower Bound for the Translative Kissing Numbers of d -Dimensional Convex Bodies. 447-455
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• Géza Tóth, Pavel Valtr:
  Note on the Erdos - Szekeres Theorem. 457-459
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• Pavel Valtr:
  On Geometric Graphs with No k Pairwise Parallel Edges. 461-469
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Volume 19, Number 4, 1998

• Tamal K. Dey, János Pach:
  Extremal Problems for Geometric Hypergraphs. 473-484
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• Jean-Daniel Boissonnat, Micha Sharir, Boaz Tagansky, Mariette Yvinec:
  Voronoi Diagrams in Higher Dimensions under Certain Polyhedral Distance Functions. 485-519
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• Harald Günzel:
  On the Universal Partition Theorem for 4-Polytopes. 521-551
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• Boris Aronov, Alan R. Davis, Tamal K. Dey, Sudebkumar Prasant Pal, D. Chithra Prasad:
  Visibility with One Reflection. 553-574
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• E. Sparla:
  An Upper and a Lower Bound Theorem for Combinatorial 4-Manifolds. 575-593
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• Hans-Jürgen Bandelt, Victor Chepoi, Monique Laurent:
  Embedding into Rectilinear Spaces. 595-604
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• Andrei Gabrielov:
  Frontier and Closure of a Semi-Pfaffian Set. 605-617
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