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Advances in discrete and computational geometry : [electronic resource] proceedings of the 1996 AMS-IMS-SIAM Joint Summer Research Conference, Discrete and Computational Geometry--Ten Years Later, July 14-18, 1996, Mount Holyoke College / Bernard Chazelle, Jacob E. Goodman, Richard Pollack, editors.

Contributor(s): Chazelle, B. (Bernard) | Goodman, Jacob E | Pollack, Richard | American Mathematical Society | Institute of Mathematical Statistics | Society for Industrial and Applied Mathematics | AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences, "Discrete and Computational Geometry: Ten Years Later" (1996 : Mount Holyoke College)Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 223.Publication details: Providence, R.I. : American Mathematical Society, c1999Description: 1 online resource (xi, 463 p. : ill.)ISBN: 9780821878149 (online)Subject(s): Combinatorial geometry -- Congresses | Geometry -- Data processing -- CongressesAdditional physical formats: Advances in discrete and computational geometry :DDC classification: 516/.13 LOC classification: QA167 | .A29 1999Online resources: Contents | Contents

Contents:

Geometric range searching and its relatives / Pankaj K. Agarwal and Jeff Erickson -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03131 Deformed products and maximal shadows of polytopes / Nina Amenta and G�unter M. Ziegler -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03132 Flag complexes, labelled rooted trees, and star shellings / Louis J. Billera, Clara S. Chan and Niandong Liu -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03133 Discrepancy bounds for geometric set systems with square incidence matrices / Bernard Chazelle -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03134 Computational topology / Tamal K. Dey, Herbert Edelsbrunner and Sumanta Guha -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03135 Recent progress on packing and covering / G�abor Fejes T�oth -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03136 Acoptic polyhedra / Branko Gr�unbaum -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03137 A proof of the strict monotone $4$-step conjecture / Fred Holt and Victor Klee -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03138 Interactions between real algebraic geometry and discrete and computational geometry / Ilia Itenberg and Marie-Fran�coise Roy -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03139 Open problems in the combinatorics of visibility and illumination / Joseph O'Rourke -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03140 Halving lines and perfect cross-matchings / J�anos Pach and J�ozsef Solymosi -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03141 Three-dimensional grid drawings of graphs / J�anos Pach, Torsten Thiele and G�eza T�oth -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03142 On polygonal covers / Michel Pocchiola and Gert Vegter -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03143 The universality theorems for oriented matroids and polytopes / J�urgen Richter-Gebert -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03144 Periodic and aperiodic tilings of $E^n$ / Marjorie Senechal -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03145 The early years of computational geometry -- a personal memoir / Michael Ian Shamos -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03146 Arrangements of surfaces in higher dimensions / Micha Sharir -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03147 Geometric discrepancy theory / Joel Spencer -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03148 Proof of Reay's conjecture on certain positive-dimensional intersections / Helge Tverberg -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03149 Progress in geometric transversal theory / Rephael Wenger -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03150 Recent progress on polytopes / G�unter M. Ziegler -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/03151 Application Challenges to Computational Geometry / CG Impact Task Force -- http://www.ams.org/conm/223/ http://dx.doi.org/10.1090/conm/223/22

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"AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences 'Discrete and Computational Geometry--Ten Years Later'"--T.p. verso.

Includes bibliographical references.

Geometric range searching and its relatives / Pankaj K. Agarwal and Jeff Erickson -- Deformed products and maximal shadows of polytopes / Nina Amenta and G�unter M. Ziegler -- Flag complexes, labelled rooted trees, and star shellings / Louis J. Billera, Clara S. Chan and Niandong Liu -- Discrepancy bounds for geometric set systems with square incidence matrices / Bernard Chazelle -- Computational topology / Tamal K. Dey, Herbert Edelsbrunner and Sumanta Guha -- Recent progress on packing and covering / G�abor Fejes T�oth -- Acoptic polyhedra / Branko Gr�unbaum -- A proof of the strict monotone $4$-step conjecture / Fred Holt and Victor Klee -- Interactions between real algebraic geometry and discrete and computational geometry / Ilia Itenberg and Marie-Fran�coise Roy -- Open problems in the combinatorics of visibility and illumination / Joseph O'Rourke -- Halving lines and perfect cross-matchings / J�anos Pach and J�ozsef Solymosi -- Three-dimensional grid drawings of graphs / J�anos Pach, Torsten Thiele and G�eza T�oth -- On polygonal covers / Michel Pocchiola and Gert Vegter -- The universality theorems for oriented matroids and polytopes / J�urgen Richter-Gebert -- Periodic and aperiodic tilings of $E^n$ / Marjorie Senechal -- The early years of computational geometry -- a personal memoir / Michael Ian Shamos -- Arrangements of surfaces in higher dimensions / Micha Sharir -- Geometric discrepancy theory / Joel Spencer -- Proof of Reay's conjecture on certain positive-dimensional intersections / Helge Tverberg -- Progress in geometric transversal theory / Rephael Wenger -- Recent progress on polytopes / G�unter M. Ziegler -- Application Challenges to Computational Geometry / CG Impact Task Force --