Discrete & Computational Geometry, Volume 31

Volume 31, Number 1, January 2004

• Subhash Suri:
  Guest Editor's Foreword. 1
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• Bernard Chazelle:
  The Power of Nonmonotonicity in Geometric Searching. 3-16
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• Oswin Aichholzer, Franz Aurenhammer, Belén Palop:
  Quickest Paths, Straight Skeletons, and the City Voronoi Diagram. 17-35
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• Jeff Erickson, Sariel Har-Peled:
  Optimally Cutting a Surface into a Disk. 37-59
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• Sergio Cabello, Yuanxin Liu, Andrea Mantler, Jack Snoeyink:
  Testing Homotopy for Paths in the Plane. 61-81
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• Vladlen Koltun, Micha Sharir:
  Polyhedral Voronoi Diagrams of Polyhedra in Three Dimensions. 83-124
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• Otfried Cheong, Sariel Har-Peled, Nathan Linial, Jirí Matousek:
  The One-Round Voronoi Game. 125-138
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• Tetsuo Asano, David G. Kirkpatrick, Chee-Keng Yap:
  Pseudo Approximation Algorithms with Applications to Optimal Motion Planning. 139-171
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Volume 31, Number 2, February 2004

• Vasek Chvátal:
  Sylvester-Gallai Theorem and Metric Betweenness. 175-195
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• Jin-ichi Itoh, Tudor Zamfirescu:
  Acute Triangulations of the Regular Icosahedral Surface. 197-206
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• Adrian Dumitrescu, Joseph S. B. Mitchell, Micha Sharir:
  Binary Space Partitions for Axis-Parallel Segments, Rectangles, and Hyperrectangles. 207-227
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• Kathryn L. Nyman:
  Linear Inequalities for Rank 3 Geometric Lattices. 229-242
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• A. Iosevich, Izabella Laba:
  Distance Sets of Well-Distributed Planar Point Sets. 243-250
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• Jirí Matousek:
  Bounded VC-Dimension Implies a Fractional Helly Theorem. 251-255
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• Catherine Stenson:
  Relationships Among Flag f-Vector Inequalities for Polytopes. 257-273
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• Ibrahim Kirat, Ka-Sing Lau, Hui Rao:
  Expanding Polynomials and Connectedness of Self-Affine Tiles. 275-286
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• Ciprian Borcea, Ileana Streinu:
  The Number of Embeddings of Minimally Rigid Graphs. 287-303
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• Paula Carvalho, António Guedes de Oliveira:
  Intersection and Linking Numbers in Oriented Matroids. 305-321
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• Daniel Lenz:
  Aperiodic Linearly Repetitive Delone Sets Are Densely Repetitive. 323-326
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• Matthieu Fradelizi, Olivier Guédon:
  The Extreme Points of Subsets of s-Concave Probabilities and a Geometric Localization Theorem. 327-335
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Volume 31, Number 3, February 2004

• Robert Krauthgamer, Nathan Linial, Avner Magen:
  Metric Embeddings--Beyond One-Dimensional Distortion. 339-356
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• Pablo A. Parrilo, Ronen Peretz:
  An Inequality for Circle Packings Proved by Semidefinite Programming. 357-367
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• Dominique Attali, Jean-Daniel Boissonnat:
  A Linear Bound on the Complexity of the Delaunay Triangulation of Points on Polyhedral Surfaces. 369-384
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• Alex Samorodnitsky:
  On Linear Programming Bounds for Spherical Codes and Designs. 385-394
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• Christos A. Athanasiadis:
  Decompositions and Connectivity of Matching and Chessboard Complexes. 395-403
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• Andreas Holmsen, Jirí Matousek:
  No Helly Theorem for Stabbing Translates by Lines in R ³. 405-410
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• A. S. Granero, J. P. Moreno, R. R. Phelps:
  Mazur Sets in Normed Spaces. 411-420
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• Tai-Man Tang:
  Crumpled Cube and Solid Horned Sphere Space Fillers. 421-433
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• Vladlen Koltun:
  Sharp Bounds for Vertical Decompositions of Linear Arrangements in Four Dimensions. 435-460
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• Gabriela Cristescu, Liana Lupsa:
  Classes of Discrete Convexity Properties. 461-490
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• Changqing Xu, Ren Ding:
  The Number of Isosceles Right Triangles Determined by n Points in Convex Position in the Plane. 491-499
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Volume 31, Number 4, March 2004

• Daniel Hug, Rolf Schneider:
  Large Cells in Poisson-Delaunay Tessellations. 503-514
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• S. L. Kokkendorff:
  Gram Matrix Analysis of Finite Distance Spaces in Constant Curvature. 515-543
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• Sariel Har-Peled:
  Clustering Motion. 545-565
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• Katharina T. Huber, Jacobus H. Koolen, Vincent Moulton:
  The Tight Span of an Antipodal Metric Space: Part II--Geometrical Properties. 567-586
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• Badri Toppur, J. MacGregor Smith:
  Properties of R-Sausages. 587-611
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• Kurt M. Anstreicher:
  The Thirteen Spheres: A New Proof. 613-625
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• Ingo Schurr, Tibor Szabó:
  Finding the Sink Takes Some Time: An Almost Quadratic Lower Bound for Finding the Sink of Unique Sink Oriented Cubes. 627-642
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• Javier Alonso, Pedro Martín:
  Some Characterizations of Ellipsoids by Sections. 643-654
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• Changqing Xu, Ren Ding:
  More About 4-Isosceles Planar Sets. 655-663
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